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

start0.0ms (0%)

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

analyze258.0ms (2.8%)

Memory

16.7MiB live, 235.2MiB allocated; 91ms 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)

sample2.4s (25.4%)

Memory

-67.4MiB live, 2 745.2MiB allocated; 1.4s collecting garbage

Samples

2.0s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

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

ival-sin: 788.0ms (66.2% of total)

ival-pow2: 212.0ms (17.8% of total)

ival-sqrt: 65.0ms (5.5% of total)

ival-div!: 60.0ms (5% of total)

ival-mult!: 45.0ms (3.8% of total)

ival-add!: 20.0ms (1.7% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess54.0ms (0.6%)

Memory

-31.6MiB live, 69.9MiB allocated; 8ms 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
▶	95.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

Compiler

Compiled 30 to 26 computations (13.3% saved)

series32.0ms (0.3%)

Memory

16.9MiB live, 62.7MiB allocated; 3ms 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
7.0ms	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	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)
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)

rewrite197.0ms (2.1%)

Memory

33.2MiB live, 260.9MiB allocated; 27ms 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) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
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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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(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(exp.f64 (.f64 (.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))

eval50.0ms (0.5%)

Memory: -48.3MiB live, 63.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 3 291 to 1 166 computations (64.6% saved)

prune52.0ms (0.6%)

Memory

11.3MiB live, 49.5MiB allocated; 3ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	209	21	230
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	21	231

Accuracy

100.0%

Counts

231 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.3%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	87.1%	(.f64 (/.f64 (sin.f64 ky) (/.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))))))) (sin.f64 th))
	48.1%	(*.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))))) #s(approx (sin th) th))
	46.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	76.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	35.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
	33.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
	35.8%	(.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))
	31.2%	(.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))
	42.7%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	45.2%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
▶	47.4%	(.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))
▶	54.3%	(*.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))
	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))))
	39.9%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	47.4%	#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))))
▶	37.8%	#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))))
	46.8%	#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 778 to 716 computations (8% saved)

series54.0ms (0.6%)

Memory

6.9MiB live, 96.8MiB allocated; 36ms collecting garbage

Counts

35 → 89

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 #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 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)))))
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
(.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
#s(literal 1 binary64)
(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))))
(+.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)))
(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))
(/.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 (* (/ (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 (* (/ (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)))
#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 (+ (* (* ky ky) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* ky ky) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow ky 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) #s(hole binary64 (sin ky)))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) #s(hole binary64 (* -1/6 (pow ky 3))))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) #s(hole binary64 (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))))
#s(approx (+ (* (* ky ky) -1/6) 1) #s(hole binary64 (* -1/6 (pow ky 2))))
#s(approx (+ (* (* ky ky) -1/6) 1) #s(hole binary64 (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))))
#s(approx (* (sin th) (sin ky)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) #s(hole binary64 (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))))
#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
16.0ms	th	@	-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)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
12.0ms	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)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
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)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
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)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
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)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin ky) 2) (/ (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin th) (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))

rewrite247.0ms (2.6%)

Memory

32.8MiB live, 261.1MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	3724
0	621	3291
1	4504	3197
0	9295	3022

Stop Event

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

Counts

124 → 769

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

eval83.0ms (0.9%)

Memory: -19.2MiB live, 166.8MiB allocated; 28ms collecting garbage
Compiler: Compiled 8 765 to 2 927 computations (66.6% saved)

prune46.0ms (0.5%)

Memory

-2.8MiB live, 90.6MiB allocated; 5ms collecting garbage

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	636	34	670
Fresh	8	8	16
Picked	2	3	5
Done	0	0	0
Total	646	45	691

Accuracy

100.0%

Counts

691 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.3%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	62.6%	(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	46.8%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	50.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	76.2%	(.f64 (/.f64 (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 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
	31.2%	(.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))
	42.7%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	45.2%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	53.1%	(.f64 (/.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)) (hypot.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)) (sin.f64 kx))) (sin.f64 th))
	53.3%	(.f64 (/.f64 #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)))) (sin.f64 th))
	36.5%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
	25.0%	(.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))))) #s(approx (sin th) th))
	28.4%	(.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 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (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))
	63.8%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
	65.9%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
	28.9%	(.f64 (/.f64 #s(approx (sin ky) ky) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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))))))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.3%	(.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) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	28.7%	(*.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))))) #s(approx (sin th) th))
	34.6%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (pow.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(literal 2 binary64)) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	34.7%	(.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))
	3.3%	(.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))
	42.3%	(.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 #s(literal 1/2 binary64) (cos.f64 (+.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))
▶	53.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))
▶	65.8%	(*.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))
	53.2%	(.f64 (.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)))) (sin.f64 th))
	65.8%	(.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))))
	39.9%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	47.4%	#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))))
	37.8%	#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) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))))
	27.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
✓	37.8%	#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))))
	19.4%	#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)))))
	19.4%	#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)))))
	19.4%	#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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
	19.5%	#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))))
	19.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
	19.1%	#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 (sin.f64 kx))))
	37.4%	#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))))
▶	37.8%	#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)))))
	40.0%	#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 1 740 to 1 521 computations (12.6% saved)

series77.0ms (0.8%)

Memory

-29.0MiB live, 67.5MiB allocated; 67ms collecting garbage

Counts

33 → 88

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	ky	@	-inf	((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (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))) 1 (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6)
5.0ms	ky	@	0	((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (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))) 1 (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6)
4.0ms	kx	@	0	((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (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))) 1 (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6)
4.0ms	ky	@	inf	((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (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))) 1 (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6)
4.0ms	kx	@	inf	((* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (sin ky) ky (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (* (/ (sin ky) (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))) 1 (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (+ (* (* ky ky) -1/6) 1) ky) (+ (* (* ky ky) -1/6) 1) (* ky ky) -1/6)

rewrite207.0ms (2.2%)

Memory

1.8MiB live, 191.4MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	631	4829
0	681	3973
1	5116	3915
0	8113	3758

Stop Event

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

Counts

121 → 443

Calls

Call 1

Inputs
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
#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)))
#s(literal 1 binary64)
(*.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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky)))
(/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))
(hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))
#s(approx (sin ky) ky)
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
(.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 ky ky)
#s(literal -1/6 binary64)
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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 th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sqrt (pow (sin ky) 2)) 3))) (/ (sin th) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin th) (sqrt (pow (sin ky) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))) (pow (sqrt (pow (sin ky) 2)) 2))) (+ (* 1/4 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 5))) (* 1/2 (/ (* (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 th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin ky) 2)) 2))))) (pow (sqrt (pow (sin ky) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin ky) 2)) 3))))) (/ (sin th) (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 (/ 1 (fabs (sin kx))) #s(hole binary64 (/ 1 (fabs (sin kx)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) #s(hole binary64 (/ (sin ky) (sqrt (pow (sin ky) 2)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(hole binary64 (/ (sqrt (pow (sin ky) 2)) (sin ky))))
#s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (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 (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) #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)))) (sin ky)) #s(hole binary64 (/ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin ky))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) #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) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin kx) 2)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sqrt (pow (sin kx) 2)) 3))) (/ (sin th) (sqrt (pow (sin kx) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (sqrt (pow (sin kx) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/2 (/ (+ (* -1/2 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))) (pow (sqrt (pow (sin kx) 2)) 2))) (+ (* 1/4 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 5))) (* 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 (/ (* (sin th) (+ 1/3 (* 1/4 (/ 1 (pow (sqrt (pow (sin kx) 2)) 2))))) (pow (sqrt (pow (sin kx) 2)) 3))) (* -1/4 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 5)))))) (* 1/2 (/ (sin th) (pow (sqrt (pow (sin kx) 2)) 3))))) (/ (sin th) (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 th) ky) #s(hole binary64 (* ky (sin th))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) #s(hole binary64 (/ ky (sqrt (pow (sin kx) 2)))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) #s(hole binary64 (/ (sqrt (pow (sin kx) 2)) ky)))
#s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 (+ (* (* ky ky) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* ky ky) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow ky 2)))))
#s(approx (* ky ky) #s(hole binary64 (pow ky 2)))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) #s(hole binary64 (* -1/6 (pow ky 3))))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) #s(hole binary64 (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))))
#s(approx (+ (* (* ky ky) -1/6) 1) #s(hole binary64 (* -1/6 (pow ky 2))))
#s(approx (+ (* (* ky ky) -1/6) 1) #s(hole binary64 (* (pow ky 2) (- (/ 1 (pow ky 2)) 1/6))))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) #s(hole binary64 (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (sin ky) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #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) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ th (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* -1/6 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (- (* 1/120 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (* th (+ (* (pow th 2) (- (* (pow th 2) (+ (* -1/5040 (/ (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (* 1/6 (/ 1 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) (/ 1 (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) #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 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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))))
(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 (sin.f64 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)) (sin.f64 th)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 th)) (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 th)))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
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)))
(.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 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (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 (fabs.f64 (sin.f64 kx)))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.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 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.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 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.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 (exp.f64 (log.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 (exp.f64 (log.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 (exp.f64 (log.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 (exp.f64 (log.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 (exp.f64 (log.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 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (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 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (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)) (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)) (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)) (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)) (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))))) (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 (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) (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) (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) (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 (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 kx kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
#s(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) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx))))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (sin th) th) ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 #s(approx (sin th) th) ky)))
(/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx)))
(*.f64 #s(approx (sin th) th) ky)
(*.f64 ky #s(approx (sin th) th))
#s(approx (sin th) th)
(*.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))
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 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 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.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)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)))
#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(literal 1 binary64) (fabs.f64 (sin.f64 kx))) (.f64 (sin.f64 th) ky))
(.f64 (.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 ky (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 (sin.f64 th) ky) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx)))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) (*.f64 (sin.f64 th) ky)))
(*.f64 (sin.f64 th) ky)
(*.f64 ky (sin.f64 th))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
(pow.f64 (/.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) #s(literal -1 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))
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (sin ky) ky)) #s(literal -1 binary64)))
(*.f64 (/.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) (/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))))
(pow.f64 (/.f64 (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))))
(/.f64 #s(approx (sin ky) ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
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(hypot.f64 (neg.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (fabs.f64 #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) (neg.f64 #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)))
(exp.f64 (.f64 (log.f64 (fma.f64 #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)) (-.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) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
(.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)
(.f64 ky (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) ky (.f64 (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) ky))
(fma.f64 ky #s(literal 1 binary64) (.f64 ky (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(+.f64 (.f64 ky #s(literal 1 binary64)) (.f64 ky (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) ky) (.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) ky))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 ky ky) ky) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 ky ky) ky)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 ky ky) ky) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 ky ky) ky)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64))
(fma.f64 ky (*.f64 #s(literal -1/6 binary64) ky) #s(literal 1 binary64))
(-.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 ky ky)))
(+.f64 (.f64 (.f64 ky ky) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))
(*.f64 (exp.f64 (log.f64 ky)) (exp.f64 (log.f64 ky)))
(*.f64 (fabs.f64 ky) (fabs.f64 ky))
(*.f64 (neg.f64 ky) (neg.f64 ky))
(*.f64 ky ky)
(pow.f64 (exp.f64 (log.f64 ky)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 ky) #s(literal 2 binary64))
(pow.f64 (neg.f64 ky) #s(literal 2 binary64))
(pow.f64 (*.f64 ky ky) #s(literal 1 binary64))
(pow.f64 ky #s(literal 2 binary64))
(fabs.f64 (*.f64 ky ky))
(exp.f64 (*.f64 (log.f64 ky) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 ky) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 ky) #s(literal 2 binary64))))
#s(literal -1/6 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 (sin.f64 th) (/.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 (.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 (sin.f64 th) (/.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 (.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 (sin.f64 ky) (.f64 (sin.f64 th) (/.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 (sin.f64 th) (/.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) (.f64 (sin.f64 th) (/.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 (.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 th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin 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 th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (.f64 (.f64 kx kx) (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 (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 th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (-.f64 (neg.f64 (.f64 (fma.f64 (/.f64 (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) (.f64 (.f64 (sin.f64 th) (/.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 th)) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))) (.f64 kx kx) (/.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 th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 kx kx) (fma.f64 (/.f64 (fma.f64 (/.f64 (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) (.f64 (.f64 (sin.f64 th) (/.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 th) (/.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 th) (/.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 th) (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 th) (/.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 th) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))) (.f64 kx kx) (/.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 (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 (.f64 kx kx) #s(literal -1/6 binary64) #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 (/ 1 (fabs (sin kx))) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
#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 kx 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 kx 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 kx 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 kx 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 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))) (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 kx 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 kx kx))))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx 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 kx 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 kx 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) 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) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (.f64 (.f64 (*.f64 ky ky) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (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 kx 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 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64))) #s(literal -1/4 binary64))) (.f64 ky ky))) (.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)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 ky ky) (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 kx 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 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64))) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 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 kx kx))))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64))) #s(literal 1/4 binary64) (.f64 (.f64 (sin.f64 th) (.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)))) #s(literal 1/2 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 kx 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 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -5 binary64))) #s(literal -1/4 binary64)))) (.f64 ky ky) (.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)))))
#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)))) (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 th) ky) (*.f64 (sin.f64 th) ky))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/.f64 ky (fabs.f64 (sin.f64 kx))))
#s(approx (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (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 (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (.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 kx 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 kx 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 (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (.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 kx 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 kx 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 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 (-.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 kx 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 kx kx)))))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx 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 kx 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 kx 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 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))
#s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 ky) (sin ky)) (* (sin kx) (sin kx)))) (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 (+ (* (* ky ky) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* ky ky) -1/6) 1) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* ky ky) (*.f64 ky ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) (.f64 (.f64 (*.f64 ky ky) ky) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) #s(literal 1/6 binary64)) (.f64 (.f64 ky ky) ky)))
#s(approx (+ (* (* ky ky) -1/6) 1) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))
#s(approx (+ (* (* ky ky) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky)))
#s(approx (* (+ (* (* ky ky) -1/6) 1) ky) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))) (.f64 (.f64 ky ky) 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) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 th (/.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1/6 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 th th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (/.f64 (.f64 th th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 th th)) (/.f64 #s(literal 1/6 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (*.f64 th th) (/.f64 #s(literal 1 binary64) (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 th) (sin.f64 th))

eval91.0ms (1%)

Memory: 1.7MiB live, 86.7MiB allocated; 15ms collecting garbage
Compiler: Compiled 6 725 to 2 095 computations (68.8% saved)

prune68.0ms (0.7%)

Memory

-21.3MiB live, 82.6MiB allocated; 9ms collecting garbage

Pruning

63 alts after pruning (55 fresh and 8 done)

	Pruned	Kept	Total
New	432	27	459
Fresh	9	28	37
Picked	0	5	5
Done	0	3	3
Total	441	63	504

Accuracy

100.0%

Counts

504 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.3%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	62.6%	(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	65.9%	(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky)))
	46.8%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	50.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	76.2%	(.f64 (/.f64 (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 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
	42.7%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
▶	45.2%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	53.1%	(.f64 (/.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)) (hypot.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)) (sin.f64 kx))) (sin.f64 th))
	53.3%	(.f64 (/.f64 #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)))) (sin.f64 th))
	36.5%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
	25.0%	(.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))))) #s(approx (sin th) th))
	63.8%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
	65.9%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
	28.9%	(.f64 (/.f64 #s(approx (sin ky) ky) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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))))))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.7%	(*.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))))) #s(approx (sin th) th))
	34.7%	(.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))
▶	3.3%	(.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))
	42.3%	(.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 #s(literal 1/2 binary64) (cos.f64 (+.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))
✓	53.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))
	27.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (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 th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	34.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sin kx) kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))
✓	65.8%	(*.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))
	33.4%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky))) #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)))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #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)))
	44.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #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) ky))) (sin.f64 th))
▶	46.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) (sin.f64 th))
	65.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
	42.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) #s(approx (sin ky) ky))) (sin.f64 th))
	65.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) #s(approx (sin ky) ky)))) (sin.f64 th))
	39.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
	53.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
	65.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (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))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	31.2%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 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))))))))
	45.2%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))))
	99.4%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
	50.1%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	39.9%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	47.4%	#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))))
	37.8%	#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) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))))
✓	37.8%	#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))))
	19.4%	#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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
	19.5%	#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))))
	19.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
	13.7%	#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)))))))
✓	19.2%	#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))))
	13.1%	#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)))))
	13.1%	#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)))))
	13.1%	#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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
▶	13.3%	#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))))
	19.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (exp.f64 (.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)))))
	19.1%	#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 (sin.f64 kx))))
	37.4%	#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))))
✓	37.8%	#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)))))
	19.5%	#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)))))
	19.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	19.2%	#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)))))
	21.4%	#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 (sin.f64 kx)))))
	40.0%	#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 2 374 to 2 074 computations (12.6% saved)

series33.0ms (0.3%)

Memory

3.0MiB live, 48.7MiB allocated; 4ms collecting garbage

Counts

35 → 94

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 #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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky)))
(/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))
(hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx))
#s(approx (sin ky) ky)
(.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 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)))))))
(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))))))
#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)))))
(-.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) (cos.f64 (+.f64 ky ky)))
(cos.f64 (+.f64 ky ky))
(+.f64 ky 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))
(/.f64 (sin.f64 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))) (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 (/ (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 (+ (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 (* (/ 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 (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (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 (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (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 (- 1/2 (* 1/2 (cos (+ ky ky)))) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (* 1/2 (cos (+ ky ky))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (+ ky ky))) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* 1/2 (cos (+ ky ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* 1/2 (cos (+ ky ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))))
#s(approx (cos (+ ky ky)) #s(hole binary64 1))
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2)))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))))
#s(approx (+ ky ky) #s(hole binary64 (* 2 ky)))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* 1/2 (cos (+ ky ky))) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (* 2 ky))))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))
#s(approx (* 1/2 (cos (+ ky ky))) #s(hole binary64 (* 1/2 (cos (neg (* -2 ky))))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (neg (* -2 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 (* 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) #s(hole binary64 (sin th)))

Calls

9 calls:

Time	Variable		Point	Expression
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 kx) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)))
4.0ms	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 kx) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)))
4.0ms	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 kx) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (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)))) (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 kx) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (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)))) (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 kx) (* (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th)) (/ 1 (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin kx)))

rewrite213.0ms (2.3%)

Memory

10.1MiB live, 240.0MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	4246
0	662	3591
1	4923	3547
0	8279	3386

Stop Event

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

Counts

129 → 555

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

eval83.0ms (0.9%)

Memory: 5.0MiB live, 149.6MiB allocated; 37ms collecting garbage
Compiler: Compiled 7 355 to 2 631 computations (64.2% saved)

prune138.0ms (1.5%)

Memory

26.3MiB live, 168.7MiB allocated; 12ms collecting garbage

Pruning

85 alts after pruning (74 fresh and 11 done)

	Pruned	Kept	Total
New	513	30	543
Fresh	6	44	50
Picked	2	3	5
Done	0	8	8
Total	521	85	606

Accuracy

100.0%

Counts

606 → 85

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.3%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	43.0%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
	62.6%	(/.f64 (*.f64 #s(approx (sin ky) ky) (sin.f64 th)) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))
	99.7%	(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	65.9%	(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #s(approx (sin ky) ky)))
	34.7%	(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))) #s(approx (sin ky) ky)))
	46.8%	(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	45.1%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	50.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	76.2%	(.f64 (/.f64 (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 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
	32.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th))
	42.7%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	23.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	22.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))))) (sin.f64 th))
	39.7%	(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	53.1%	(.f64 (/.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)) (hypot.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)) (sin.f64 kx))) (sin.f64 th))
	53.3%	(.f64 (/.f64 #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)))) (sin.f64 th))
	36.5%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
	25.0%	(.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))))) #s(approx (sin th) th))
	39.3%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	63.8%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
	65.9%	(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 th))
	28.9%	(.f64 (/.f64 #s(approx (sin ky) ky) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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))))))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	28.7%	(*.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))))) #s(approx (sin th) th))
	12.0%	(.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) #s(approx ( 1/2 (cos (+ ky ky))) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64))))))) (sin.f64 th))
	11.7%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (+ ky ky)))) (.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))
	20.0%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (+ ky ky)))) (*.f64 ky ky))))) (sin.f64 th))
	42.3%	(.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 #s(literal 1/2 binary64) (cos.f64 (+.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))
✓	53.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))
	27.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (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 th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	34.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sin kx) kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))
✓	65.8%	(*.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))
	33.7%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #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)))
	44.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #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) ky))) (sin.f64 th))
✓	46.3%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) (sin.f64 th))
	26.6%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) #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)))
	26.9%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
	65.7%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)))) #s(approx (sin ky) ky))) (sin.f64 th))
	76.2%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 ky))) (sin.f64 th))
	42.3%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (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))) #s(approx (sin ky) ky))) (sin.f64 th))
	33.0%	(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))) #s(literal 1/2 binary64))) #s(approx (sin ky) ky))) (sin.f64 th))
	45.1%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
	65.7%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) #s(approx (sin ky) ky)))) (sin.f64 th))
	39.9%	(.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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))
	53.2%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))) (sin.f64 th))
	65.8%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) #s(approx (sin ky) ky)) (sin.f64 th))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin ky) ky)) (sin.f64 th))
	45.1%	(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))) (sin.f64 th))
	34.7%	(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	31.2%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 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))))))))
	45.2%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))))
	99.4%	(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))))
	50.1%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	39.9%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	47.4%	#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))))
✓	37.8%	#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))))
	19.4%	#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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
	19.5%	#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))))
	19.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) ky) (fabs.f64 (sin.f64 kx))))
	0.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))))))
	13.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.f64 #s(approx (sin kx) kx)))))
	13.7%	#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)))))))
	12.8%	#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)))))
✓	19.2%	#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))))
	13.1%	#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)))))
	13.1%	#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)))))
	13.1%	#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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
✓	13.3%	#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))))
	12.6%	#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))))
	12.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (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))))
	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 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
	37.4%	#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))))
	13.3%	#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))))
✓	37.8%	#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)))))
	19.5%	#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)))))
	19.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
	19.2%	#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)))))
	13.3%	#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)))))
	21.4%	#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 (sin.f64 kx)))))
	15.5%	#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)))))
	40.0%	#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 2 929 to 2 026 computations (30.8% saved)

regimes401.0ms (4.3%)

Memory

-2.4MiB live, 612.9MiB allocated; 132ms collecting garbage

Counts

113 → 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))))
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(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (/.f64 (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 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (fma.f64 #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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.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)) (hypot.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)) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (exp.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) ky) (.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.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))))))) (fabs.f64 (sin.f64 kx)))) (sin.f64 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 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx))))) (sin.f64 th))
(*.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 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (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 (*.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (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 ky ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) 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(literal 1 binary64) (/.f64 (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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (sin.f64 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 (/.f64 (sin.f64 ky) (/.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))))))) (sin.f64 th))

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

Calls

9 calls:

75.0ms	(sin.f64 kx)
61.0ms	(sin.f64 ky)
45.0ms	(sin.f64 th)
41.0ms	kx
37.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

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)

regimes336.0ms (3.6%)

Memory

14.6MiB live, 631.5MiB allocated; 44ms collecting garbage

Counts

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

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

Calls

9 calls:

63.0ms	(*.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))
52.0ms	(/.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)))))
34.0ms	ky
33.0ms	(sin.f64 th)
32.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

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

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes345.0ms (3.7%)

Memory

20.7MiB live, 394.9MiB allocated; 99ms collecting garbage

Counts

101 → 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
#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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) #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 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)))))
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#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)))))
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(*.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))
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(*.f64 (/.f64 #s(approx (sin ky) ky) (hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 #s(approx (sin ky) ky))))) (sin.f64 th))
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#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))))
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(*.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 (*.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))
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(.f64 (.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))))) (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 (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))))
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(/.f64 #s(approx (* (sin th) (sin ky)) (*.f64 (sin.f64 ky) th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
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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 (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:

58.0ms	(/.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)))))
45.0ms	ky
45.0ms	th
45.0ms	kx
39.0ms	(sin.f64 kx)

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)

regimes398.0ms (4.2%)

Memory

-7.1MiB live, 520.7MiB allocated; 175ms collecting garbage

Counts

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

Outputs

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

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

Calls

9 calls:

118.0ms	(sin.f64 kx)
59.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
35.0ms	(*.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))
34.0ms	th
31.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
82.1%	3	`(sin.f64 th)`
70.6%	3	`(sin.f64 kx)`
73.4%	4	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
78.5%	2	`(sin.f64 ky)`
82.6%	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)))))`
73.4%	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))`
71.6%	3	`kx`
81.6%	3	`ky`
82.1%	2	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes29.0ms (0.3%)

Memory

17.8MiB live, 62.5MiB allocated; 4ms collecting garbage

Counts

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

Outputs

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

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

Calls

1 calls:

24.0ms

th

Results

Accuracy	Segments	Branch
82.0%	2	`th`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes57.0ms (0.6%)

Memory

-20.9MiB live, 124.9MiB allocated; 14ms collecting garbage

Counts

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

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

Calls

2 calls:

26.0ms	th
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
82.6%	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)))))`
78.8%	2	`th`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes116.0ms (1.2%)

Memory

8.4MiB live, 236.4MiB allocated; 16ms collecting garbage

Counts

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

Outputs

(*.f64 (/.f64 #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)))) (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

4 calls:

38.0ms	(sin.f64 th)
26.0ms	th
25.0ms	ky
22.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
65.9%	1	`th`
78.7%	2	`ky`
65.9%	1	`(sin.f64 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 16 to 21 computations (-31.3% saved)

regimes37.0ms (0.4%)

Memory

27.0MiB live, 63.5MiB allocated; 16ms collecting garbage

Counts

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

Outputs

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

(*.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

1 calls:

33.0ms

ky

Results

Accuracy	Segments	Branch
78.5%	2	`ky`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes86.0ms (0.9%)

Memory

-21.3MiB live, 125.9MiB allocated; 35ms collecting garbage

Counts

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

#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))))

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

Calls

3 calls:

38.0ms	ky
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)))))
19.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
78.5%	2	`(sin.f64 ky)`
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)))))`
78.4%	2	`ky`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes159.0ms (1.7%)

Memory

28.9MiB live, 173.9MiB allocated; 56ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

49.0ms	ky
33.0ms	kx
19.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
18.0ms	(sin.f64 ky)
17.0ms	(/.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
65.9%	1	`kx`
65.9%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
65.9%	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))`
65.9%	1	`ky`
69.6%	2	`(sin.f64 ky)`
69.7%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 35 to 40 computations (-14.3% saved)

regimes52.0ms (0.6%)

Memory

-13.1MiB live, 32.3MiB allocated; 6ms collecting garbage

Counts

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

Outputs

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

Calls

1 calls:

28.0ms

(/.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
69.7%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes246.0ms (2.6%)

Memory

-27.1MiB live, 162.2MiB allocated; 22ms collecting garbage

Counts

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

Outputs

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

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

Calls

9 calls:

68.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
36.0ms	(/.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)))))
33.0ms	th
24.0ms	ky
19.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
55.5%	2	`ky`
54.3%	3	`(sin.f64 th)`
63.1%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
57.2%	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))`
63.1%	2	`kx`
53.1%	2	`th`
63.1%	3	`(sin.f64 kx)`
59.3%	3	`(sin.f64 ky)`
68.5%	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 40 to 51 computations (-27.5% saved)

regimes24.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
#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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) #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 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)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (+ ky ky)))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (.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 (.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)))))))
(.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) #s(approx ( 1/2 (cos (+ ky ky))) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64))))))) (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))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin ky) ky)) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin 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 (.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)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (exp.f64 (.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)))))
(.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) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (+ ky ky)))) (.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))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #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)))
#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(literal 1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))) #s(literal 1/2 binary64))) #s(approx (sin 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))
#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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #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) ky))) (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))) #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 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 ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fabs.f64 (sin.f64 kx)) ky))) (sin.f64 th))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sin kx) kx)) #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))))
(.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 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) #s(approx (sin kx) kx)) #s(approx (sin ky) (*.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)))) (sin.f64 th))

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

Calls

1 calls:

19.0ms

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

Results

Accuracy	Segments	Branch
68.5%	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)

regimes15.0ms (0.2%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
64.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes16.0ms (0.2%)

Memory

-29.9MiB live, 15.8MiB allocated; 4ms collecting garbage

Counts

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
64.4%	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)

regimes13.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated; 0ms collecting garbage

Counts

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

Calls

1 calls:

11.0ms

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

Results

Accuracy	Segments	Branch
63.3%	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)

regimes103.0ms (1.1%)

Memory

8.4MiB live, 143.7MiB allocated; 24ms 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
#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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) #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 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)))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (+ ky ky)))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (.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 (.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)))))))
(.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) #s(approx ( 1/2 (cos (+ ky ky))) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64))))))) (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))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #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 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx))))) #s(approx (sin ky) ky)) (sin.f64 th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (/.f64 (sqrt.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))) #s(approx (sin ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin 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 (.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)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (exp.f64 (.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)))))
(.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) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (+ ky ky)))) (.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))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx)) #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)))
#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(literal 1 binary64) (/.f64 (exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin ky) ky) #s(approx (sin ky) ky) (*.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))) #s(literal 1/2 binary64))) #s(approx (sin ky) ky))) (sin.f64 th))

Outputs

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

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

Calls

8 calls:

20.0ms	kx
15.0ms	(*.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))
14.0ms	(sin.f64 ky)
11.0ms	(sin.f64 kx)
10.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
53.1%	2	`th`
51.3%	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))`
46.3%	1	`ky`
46.3%	1	`(sin.f64 ky)`
51.4%	3	`(sin.f64 kx)`
51.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
51.4%	2	`kx`
46.3%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 38 to 47 computations (-23.7% saved)

regimes42.0ms (0.4%)

Memory

8.5MiB live, 55.1MiB allocated; 3ms collecting garbage

Counts

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

Calls

4 calls:

12.0ms	(sin.f64 th)
9.0ms	kx
9.0ms	th
9.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
50.6%	2	`kx`
50.5%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
46.3%	1	`(sin.f64 th)`
46.3%	1	`th`

Compiler

Compiled 8 to 16 computations (-100% saved)

regimes119.0ms (1.3%)

Memory

-9.8MiB live, 185.7MiB allocated; 17ms collecting garbage

Counts

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

Calls

9 calls:

31.0ms	ky
19.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
17.0ms	(sin.f64 kx)
9.0ms	(sin.f64 th)
8.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
34.7%	1	`(sin.f64 ky)`
37.9%	2	`ky`
38.6%	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)))))`
39.9%	2	`th`
40.0%	3	`(sin.f64 th)`
39.7%	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))`
40.5%	3	`(sin.f64 kx)`
40.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
40.4%	2	`kx`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes77.0ms (0.8%)

Memory

-9.1MiB live, 86.5MiB allocated; 41ms collecting garbage

Counts

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

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)))))

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

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

Calls

7 calls:

35.0ms	th
11.0ms	ky
6.0ms	kx
6.0ms	(sin.f64 kx)
6.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
38.6%	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)))))`
38.6%	4	`ky`
35.7%	3	`(sin.f64 th)`
35.1%	4	`(sin.f64 kx)`
35.7%	2	`th`
35.1%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
35.1%	3	`kx`

Compiler

Compiled 23 to 34 computations (-47.8% saved)

regimes45.0ms (0.5%)

Memory

6.5MiB live, 93.4MiB allocated; 12ms 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
#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(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #s(approx (sin ky) ky))) #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 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)))))

Outputs

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

#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

6 calls:

10.0ms	(sin.f64 ky)
10.0ms	(sin.f64 th)
6.0ms	(*.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))
6.0ms	th
6.0ms	ky

Results

Accuracy	Segments	Branch
33.6%	3	`(sin.f64 th)`
31.4%	3	`ky`
33.6%	2	`th`
31.2%	3	`(sin.f64 ky)`
33.6%	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))`
33.2%	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 33 to 38 computations (-15.2% saved)

regimes34.0ms (0.4%)

Memory

10.3MiB live, 62.3MiB allocated; 14ms collecting garbage

Counts

15 → 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
#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)))))

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

Calls

4 calls:

15.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
7.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
5.0ms	kx
5.0ms	th

Results

Accuracy	Segments	Branch
33.2%	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)))))`
32.8%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
32.8%	2	`kx`
26.9%	1	`th`

Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes49.0ms (0.5%)

Memory

14.3MiB live, 102.1MiB allocated; 14ms collecting garbage

Counts

13 → 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) kx)) #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)))
#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

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

Calls

8 calls:

9.0ms	ky
8.0ms	(sin.f64 ky)
8.0ms	kx
5.0ms	(/.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)))))
4.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Results

Accuracy	Segments	Branch
26.9%	1	`(sin.f64 ky)`
26.9%	1	`ky`
26.9%	1	`(sin.f64 kx)`
26.9%	1	`(sin.f64 th)`
26.9%	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))`
26.9%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
26.9%	1	`kx`
26.9%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 39 to 48 computations (-23.1% saved)

regimes56.0ms (0.6%)

Memory

10.6MiB live, 105.9MiB allocated; 21ms collecting garbage

Accuracy

Total -9.9b remaining (-18.3%)

Threshold costs -9.9b (-18.3%)

Counts

11 → 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 (.f64 #s(approx (sin th) th) ky) (.f64 (sqrt.f64 #s(approx (sin kx) kx)) (sqrt.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 (sqrt.f64 (neg.f64 #s(approx (sin kx) kx))) (sqrt.f64 (neg.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 (.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 (*.f64 kx kx) #s(literal -1/6 binary64) #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))))

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:

15.0ms	(sin.f64 kx)
9.0ms	kx
6.0ms	(*.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 ky)
5.0ms	ky

Results

Accuracy	Segments	Branch
15.5%	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)))))`
15.5%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
15.5%	1	`th`
15.5%	1	`(sin.f64 th)`
15.5%	1	`(sin.f64 kx)`
15.5%	1	`(sin.f64 ky)`
15.5%	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))`
15.5%	1	`ky`
15.5%	1	`kx`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

bsearch22.0ms (0.2%)

Memory

-6.5MiB live, 39.6MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	5.990367886247702e-6	0.00022765256600523054

Samples

16.0ms

112×

valid

Compiler

Compiled 194 to 186 computations (4.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sin: 9.0ms (70.8% of total)

ival-pow2: 2.0ms (15.7% of total)

ival-sqrt: 1.0ms (7.9% of total)

ival-mult!: 1.0ms (7.9% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch2.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	5.990367886247702e-6	0.00022765256600523054

Compiler

Compiled 257 to 235 computations (8.6% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-0.04894320022014027	-0.045365917291310044
0.0ms	-1.0	-0.9955277111509111

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch39.0ms (0.4%)

Memory

3.0MiB live, 48.9MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
36.0ms	0.006656615834922727	1981.6502584217617

Samples

29.0ms

144×

valid

Compiler

Compiled 352 to 315 computations (10.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 17.0ms (71.3% of total)

ival-pow2: 4.0ms (16.8% of total)

ival-sqrt: 1.0ms (4.2% of total)

ival-div!: 1.0ms (4.2% of total)

ival-mult!: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

bsearch27.0ms (0.3%)

Memory

-22.4MiB live, 24.0MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
25.0ms	1981.6502584217617	4014.04618217207

Samples

12.0ms

80×

valid

Compiler

Compiled 174 to 168 computations (3.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 7.0ms (71.5% of total)

ival-pow2: 2.0ms (20.4% of total)

ival-sqrt: 1.0ms (10.2% 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)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.03639497238168859	1.6908259824385114e-304

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9846431286673312	-0.9708141403884171

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.9846431286673312	-0.9708141403884171

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.025581092871044615	0.16410476264712445
0.0ms	-0.40937471470420417	-0.40052944023552045

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.025581092871044615	0.16410476264712445
0.0ms	-0.40937471470420417	-0.40052944023552045

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.025581092871044615	0.16410476264712445

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.025581092871044615	0.16410476264712445

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.025581092871044615	0.16410476264712445

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch40.0ms (0.4%)

Memory

-23.9MiB live, 26.4MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	9.680292298205436e-7	5.990367886247702e-6

Samples

12.0ms

96×

valid

Compiler

Compiled 223 to 210 computations (5.8% saved)

Precisions

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

ival-sin: 5.0ms (55.3% of total)

ival-pow2: 2.0ms (22.1% of total)

ival-sqrt: 1.0ms (11.1% of total)

adjust: 0.0ms (0% of total)

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

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

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

bsearch30.0ms (0.3%)

Memory

4.7MiB live, 49.1MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	108739691692921.44	65511344192062810.0

Samples

18.0ms

128×

valid

Compiler

Compiled 307 to 290 computations (5.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sin: 10.0ms (68.1% of total)

ival-pow2: 3.0ms (20.4% of total)

ival-sqrt: 1.0ms (6.8% of total)

ival-div!: 1.0ms (6.8% of total)

ival-mult!: 1.0ms (6.8% of total)

adjust: 0.0ms (0% of total)

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

bsearch19.0ms (0.2%)

Memory

40.5MiB live, 40.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.5750914721428777e-8	6.42339776528938e-7

Samples

13.0ms

112×

valid

Compiler

Compiled 299 to 256 computations (14.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sin: 6.0ms (61.7% of total)

ival-pow2: 2.0ms (20.6% of total)

ival-sqrt: 1.0ms (10.3% of total)

ival-mult!: 1.0ms (10.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch0.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	7.089180045742532e-7	0.0015545659220250435

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch30.0ms (0.3%)

Memory

-30.6MiB live, 58.8MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
28.0ms	0.00022765256600523054	43.2364764938523

Samples

22.0ms

144×

valid

Compiler

Compiled 388 to 369 computations (4.9% saved)

Precisions

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

ival-sin: 11.0ms (69% of total)

ival-pow2: 3.0ms (18.8% 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)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	7.089180045742532e-7	0.0015545659220250435

Compiler

Compiled 18 to 19 computations (-5.6% saved)

derivations1.0s (11.1%)

Memory

5.9MiB live, 932.8MiB allocated; 276ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 353 to 173 computations (51% saved)

preprocess897.0ms (9.6%)

Memory

52.6MiB live, 1 401.0MiB allocated; 230ms collecting garbage

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 7 628 to 5 862 computations (23.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze258.0ms (2.8%)

sample2.4s (25.4%)

preprocess54.0ms (0.6%)

series32.0ms (0.3%)

rewrite197.0ms (2.1%)

eval50.0ms (0.5%)

prune52.0ms (0.6%)

series54.0ms (0.6%)

rewrite247.0ms (2.6%)

eval83.0ms (0.9%)

prune46.0ms (0.5%)

series77.0ms (0.8%)

rewrite207.0ms (2.2%)

eval91.0ms (1%)

prune68.0ms (0.7%)

series33.0ms (0.3%)

rewrite213.0ms (2.3%)

eval83.0ms (0.9%)

prune138.0ms (1.5%)

regimes401.0ms (4.3%)

regimes336.0ms (3.6%)

regimes345.0ms (3.7%)

regimes398.0ms (4.2%)

regimes29.0ms (0.3%)

regimes57.0ms (0.6%)

regimes116.0ms (1.2%)

regimes37.0ms (0.4%)

regimes86.0ms (0.9%)

regimes159.0ms (1.7%)

regimes52.0ms (0.6%)

regimes246.0ms (2.6%)

regimes24.0ms (0.3%)

regimes15.0ms (0.2%)

regimes16.0ms (0.2%)

regimes13.0ms (0.1%)

regimes103.0ms (1.1%)

regimes42.0ms (0.4%)

regimes119.0ms (1.3%)

regimes77.0ms (0.8%)

regimes45.0ms (0.5%)

regimes34.0ms (0.4%)

regimes49.0ms (0.5%)

regimes56.0ms (0.6%)

bsearch22.0ms (0.2%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

bsearch39.0ms (0.4%)

bsearch27.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch40.0ms (0.4%)

bsearch30.0ms (0.3%)

bsearch19.0ms (0.2%)

bsearch0.0ms (0%)

bsearch30.0ms (0.3%)

bsearch0.0ms (0%)

derivations1.0s (11.1%)

preprocess897.0ms (9.6%)

end0.0ms (0%)

Profiling