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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze266.0ms (3.9%)

Memory

37.3MiB live, 609.4MiB allocated; 155ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	6
43.8%	43.7%	56.2%	0.1%	0%	0%	0%	7
53.1%	53%	46.8%	0.1%	0%	0%	0%	8
60.9%	60.8%	39%	0.1%	0%	0%	0%	9
60.9%	60.8%	39%	0.1%	0%	0%	0%	10
64.8%	64.7%	35.1%	0.1%	0%	0%	0%	11
68.4%	68.3%	31.6%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.7s (25.2%)

Memory

24.5MiB live, 2 271.8MiB allocated; 537ms collecting garbage

Samples

1.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-sin: 675.0ms (61.4% of total)

ival-pow2: 192.0ms (17.5% of total)

ival-sqrt: 124.0ms (11.3% of total)

ival-mult!: 48.0ms (4.4% of total)

ival-div!: 36.0ms (3.3% of total)

ival-add!: 23.0ms (2.1% of total)

adjust: 2.0ms (0.2% of total)

Bogosity

preprocess68.0ms (1%)

Memory

4.6MiB live, 49.8MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	113	163
2	396	163
3	2511	163

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(*.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)

series39.0ms (0.6%)

Memory

-1.9MiB live, 55.7MiB allocated; 11ms 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
13.0ms	ky	@	-inf	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
5.0ms	ky	@	0	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms	kx	@	0	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
4.0ms	kx	@	inf	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)
3.0ms	kx	@	-inf	((* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) ky (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow (sin kx) 2) (sin kx) kx 2 (pow (sin ky) 2) (sin th) th)

rewrite233.0ms (3.4%)

Memory

-18.1MiB live, 227.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	426	3085
0	442	2885
1	2608	2588
0	8281	2276

Stop Event

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

Counts

76 → 253

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

eval32.0ms (0.5%)

Memory: 13.3MiB live, 56.5MiB allocated; 9ms collecting garbage
Compiler: Compiled 3 450 to 1 227 computations (64.4% saved)

prune15.0ms (0.2%)

Memory

27.2MiB live, 27.2MiB allocated; 0ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	227	17	244
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	17	245

Accuracy

99.9%

Counts

245 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	88.5%	(.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))
	86.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	78.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
	50.1%	(*.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))
	77.4%	(.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))
▶	67.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (exp.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	39.6%	(.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))
	31.7%	(.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))
▶	43.3%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
	46.6%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	54.5%	(*.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 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	41.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	49.6%	#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))))
▶	39.8%	#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))))
	49.0%	#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 632 to 584 computations (7.6% saved)

series180.0ms (2.7%)

Memory

-19.4MiB live, 163.6MiB allocated; 38ms collecting garbage

Counts

36 → 115

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 (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 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.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))) (fabs.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
#s(literal 2 binary64)
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (exp.f64 (.f64 (log.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 (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))
(log.f64 (sin.f64 kx))
(pow.f64 (sin.f64 ky) #s(literal 2 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 (/ (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 (+ (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 (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (pow ky 2)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (pow kx 2) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (pow kx 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 1))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))))
#s(approx (* 2 kx) #s(hole binary64 (* 2 kx)))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (* 2 (log kx))))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (+ (* -1/3 (pow kx 2)) (* 2 (log kx)))))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (+ (* 2 (log kx)) (* (pow kx 2) (- (* -1/90 (pow kx 2)) 1/3)))))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (+ (* 2 (log kx)) (* (pow kx 2) (- (* (pow kx 2) (- (* -2/2835 (pow kx 2)) 1/90)) 1/3)))))
#s(approx (log (sin kx)) #s(hole binary64 (log kx)))
#s(approx (log (sin kx)) #s(hole binary64 (+ (log kx) (* -1/6 (pow kx 2)))))
#s(approx (log (sin kx)) #s(hole binary64 (+ (log kx) (* (pow kx 2) (- (* -1/180 (pow kx 2)) 1/6)))))
#s(approx (log (sin kx)) #s(hole binary64 (+ (log kx) (* (pow kx 2) (- (* (pow kx 2) (- (* -1/2835 (pow kx 2)) 1/180)) 1/6)))))
#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 (/ (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 (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (cos (* 2 kx))))
#s(approx (exp (* (log (sin kx)) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (* 2 (log (sin kx)))))
#s(approx (log (sin kx)) #s(hole binary64 (log (sin kx))))
#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 (/ (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 (fabs (sin ky)) #s(hole binary64 (fabs (sin ky))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (* (pow ky 2) (- (+ 1 (* 1/2 (/ 1 (pow ky 2)))) (* 1/2 (/ (cos (* 2 kx)) (pow ky 2)))))))
#s(approx (* (sin 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
54.0ms	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) (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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (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)) (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2))) (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)) (exp (* (log (sin kx)) 2)) (* (log (sin kx)) 2) (log (sin kx)) (pow (sin ky) 2))
45.0ms	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) (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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (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)) (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2))) (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)) (exp (* (log (sin kx)) 2)) (* (log (sin kx)) 2) (log (sin kx)) (pow (sin ky) 2))
39.0ms	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) (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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (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)) (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2))) (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)) (exp (* (log (sin kx)) 2)) (* (log (sin kx)) 2) (log (sin kx)) (pow (sin ky) 2))
18.0ms	th	@	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) (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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (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)) (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2))) (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)) (exp (* (log (sin kx)) 2)) (* (log (sin kx)) 2) (log (sin kx)) (pow (sin ky) 2))
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) (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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (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)) (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) 1/2 (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx) 2 (* (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)))) (sqrt (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2))) (+ (exp (* (log (sin kx)) 2)) (pow (sin ky) 2)) (exp (* (log (sin kx)) 2)) (* (log (sin kx)) 2) (log (sin kx)) (pow (sin ky) 2))

rewrite255.0ms (3.8%)

Memory

2.4MiB live, 188.3MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	709	4870
0	773	3997
1	4289	3997
0	8278	3814

Stop Event

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

Counts

151 → 668

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 (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 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(/.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))) (fabs.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
#s(literal 2 binary64)
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (exp.f64 (.f64 (log.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 (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))
(log.f64 (sin.f64 kx))
(pow.f64 (sin.f64 ky) #s(literal 2 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 (/ (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 (+ (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 (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (pow ky 2)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (pow kx 2) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow ky 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (pow kx 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* -1 (pow kx 2)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* 1/3 (pow kx 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (+ 1/2 (* (pow kx 2) (- (* (pow kx 2) (+ 1/3 (* -2/45 (pow kx 2)))) 1)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 1))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* -2 (pow kx 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 2/3 (pow kx 2)) 2)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/3 (* -4/45 (pow kx 2)))) 2)))))
#s(approx (* 2 kx) #s(hole binary64 (* 2 kx)))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (* 2 (log kx))))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (+ (* -1/3 (pow kx 2)) (* 2 (log kx)))))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (+ (* 2 (log kx)) (* (pow kx 2) (- (* -1/90 (pow kx 2)) 1/3)))))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (+ (* 2 (log kx)) (* (pow kx 2) (- (* (pow kx 2) (- (* -2/2835 (pow kx 2)) 1/90)) 1/3)))))
#s(approx (log (sin kx)) #s(hole binary64 (log kx)))
#s(approx (log (sin kx)) #s(hole binary64 (+ (log kx) (* -1/6 (pow kx 2)))))
#s(approx (log (sin kx)) #s(hole binary64 (+ (log kx) (* (pow kx 2) (- (* -1/180 (pow kx 2)) 1/6)))))
#s(approx (log (sin kx)) #s(hole binary64 (+ (log kx) (* (pow kx 2) (- (* (pow kx 2) (- (* -1/2835 (pow kx 2)) 1/180)) 1/6)))))
#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 (/ (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 (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (pow ky 2)) (* 1/2 (cos (* 2 kx))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (cos (* 2 kx))))
#s(approx (exp (* (log (sin kx)) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (* (log (sin kx)) 2) #s(hole binary64 (* 2 (log (sin kx)))))
#s(approx (log (sin kx)) #s(hole binary64 (log (sin kx))))
#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 (/ (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 (fabs (sin ky)) #s(hole binary64 (fabs (sin ky))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (pow (sin ky) 2) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (* (pow ky 2) (- (+ 1 (* 1/2 (/ 1 (pow ky 2)))) (* 1/2 (/ (cos (* 2 kx)) (pow ky 2)))))))
#s(approx (* (sin 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) (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))))
(/.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)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 ky)))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (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 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (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 (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 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(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 (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 kx)))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(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))))
(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)))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 ky)))) (fabs.f64 (fabs.f64 (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 (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 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(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 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(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 (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 (neg.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(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 (fabs.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(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 (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 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (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)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (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)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (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)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (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) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.f64 (sin.f64 ky))))
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(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
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(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))) #s(literal 1/2 binary64)))
(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)))
(exp.f64 (log.f64 (sin.f64 kx)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 kx))) (sinh.f64 (log.f64 (sin.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)))))
(*.f64 (sin.f64 th) (/.f64 ky (fabs.f64 (sin.f64 kx))))
(*.f64 ky (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
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(/.f64 (*.f64 (sin.f64 th) ky) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 th) ky)
(*.f64 ky (sin.f64 th))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx))))
(*.f64 (sqrt.f64 (fabs.f64 (sin.f64 kx))) (sqrt.f64 (fabs.f64 (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
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(*.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 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 kx))))
(fabs.f64 (neg.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 kx))) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky))))
(*.f64 (sqrt.f64 (fabs.f64 (sin.f64 ky))) (sqrt.f64 (fabs.f64 (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 ky))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 ky))))
(fabs.f64 (neg.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(exp.f64 (/.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #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 ky ky))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 (sin.f64 ky))) #s(literal 1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
(.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (-.f64 (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (fma.f64 ky ky #s(literal 1/2 binary64))) (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) (.f64 ky ky) (exp.f64 (.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 ky ky) (.f64 ky ky) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (fma.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (fma.f64 ky ky #s(literal 1/2 binary64)) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(fma.f64 (fabs.f64 (fabs.f64 ky)) (fabs.f64 (fabs.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 kx))) (*.f64 ky ky))
(fma.f64 (neg.f64 (fabs.f64 ky)) (neg.f64 (fabs.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (neg.f64 ky)) (neg.f64 (neg.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx))) (*.f64 ky ky))
(fma.f64 (exp.f64 (log.f64 ky)) (exp.f64 (log.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky))
(fma.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (*.f64 ky ky))
(fma.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx))) (*.f64 ky ky))
(fma.f64 (fabs.f64 ky) (fabs.f64 ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 ky) (neg.f64 ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (*.f64 ky ky))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (*.f64 ky ky))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (*.f64 ky ky))
(fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(+.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(+.f64 (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (.f64 ky ky))
(+.f64 #s(literal 1/2 binary64) (-.f64 (.f64 ky ky) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 kx))))
(*.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))))
(*.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)))
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
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#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.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 th)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 5 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))) (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 th)) (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 th)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 5 binary64))))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 3 binary64))))) (*.f64 kx kx) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (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 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 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 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 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 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.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 (-.f64 (.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 (/ (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 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 3 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 (fma.f64 (neg.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 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 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 5 binary64)))) (.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 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.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 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 5 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))) (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 #s(literal -1/4 binary64) (sin.f64 ky)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 5 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 (+ (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 (-.f64 (.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 (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 kx kx (*.f64 ky ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (*.f64 ky ky)))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (fma.f64 (fma.f64 (-.f64 (.f64 #s(literal 2/45 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) (.f64 kx kx) (*.f64 ky ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (*.f64 kx kx))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) (*.f64 kx kx)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (.f64 (fma.f64 (-.f64 (.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 (- 1/2 (* 1/2 (cos (* 2 kx)))) (.f64 (fma.f64 (-.f64 (.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 (* 1/2 (cos (* 2 kx))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 kx))) (+.f64 (neg.f64 (*.f64 kx kx)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 kx))) (fma.f64 (-.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (*.f64 kx kx) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 kx))) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -2/45 binary64) (.f64 kx kx) #s(literal 1/3 binary64)) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 kx kx) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 kx)) #s(literal 1 binary64))
#s(approx (cos (* 2 kx)) (fma.f64 #s(literal -2 binary64) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (cos (* 2 kx)) (fma.f64 (-.f64 (.f64 #s(literal 2/3 binary64) (.f64 kx kx)) #s(literal 2 binary64)) (*.f64 kx kx) #s(literal 1 binary64)))
#s(approx (cos (* 2 kx)) (fma.f64 (-.f64 (.f64 (fma.f64 #s(literal -4/45 binary64) (.f64 kx kx) #s(literal 2/3 binary64)) (.f64 kx kx)) #s(literal 2 binary64)) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (* 2 kx) (+.f64 kx kx))
#s(approx (* (log (sin kx)) 2) (*.f64 (log.f64 kx) #s(literal 2 binary64)))
#s(approx (* (log (sin kx)) 2) (fma.f64 (log.f64 kx) #s(literal 2 binary64) (.f64 #s(literal -1/3 binary64) (.f64 kx kx))))
#s(approx (* (log (sin kx)) 2) (fma.f64 (-.f64 (.f64 #s(literal -1/90 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (.f64 kx kx) (.f64 (log.f64 kx) #s(literal 2 binary64))))
#s(approx (* (log (sin kx)) 2) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -2/2835 binary64) (.f64 kx kx)) #s(literal 1/90 binary64)) (.f64 kx kx)) #s(literal 1/3 binary64)) (.f64 kx kx) (.f64 (log.f64 kx) #s(literal 2 binary64))))
#s(approx (log (sin kx)) (log.f64 kx))
#s(approx (log (sin kx)) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) (log.f64 kx)))
#s(approx (log (sin kx)) (fma.f64 (-.f64 (.f64 #s(literal -1/180 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) (log.f64 kx)))
#s(approx (log (sin kx)) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/2835 binary64) (.f64 kx kx)) #s(literal 1/180 binary64)) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) (log.f64 kx)))
#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 (/ (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 (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 kx))) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 kx)) (cos.f64 (+.f64 kx kx)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (* (log (sin kx)) 2) (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
#s(approx (log (sin kx)) (log.f64 (sin.f64 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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (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 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (fma.f64 #s(literal 1/2 binary64) (fma.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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 (.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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) (.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal -1/2 binary64)))) (.f64 ky ky) (/.f64 (.f64 #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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx)))) (/.f64 (.f64 #s(literal 1/2 binary64) (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) 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 (-.f64 (.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 (-.f64 (.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 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 5 binary64)))) (.f64 ky ky))) (/.f64 (.f64 #s(literal 1/2 binary64) (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 (/ (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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 5 binary64)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 (.f64 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 5 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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (.f64 ky ky)) (fabs.f64 (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin 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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (fabs.f64 (sin.f64 kx))) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (.f64 ky ky))) (fabs.f64 (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (fabs.f64 (sin.f64 kx)))) (*.f64 ky ky) (fabs.f64 (sin.f64 kx))))
#s(approx (* (sin th) ky) (*.f64 (sin.f64 th) ky))
#s(approx (/ (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)))) (.f64 (+.f64 (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 #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 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (.f64 ky ky)) (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (/ (sin ky) (sqrt (+ (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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (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) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1/5040 binary64) (fabs.f64 (sin.f64 kx)))))) (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx)))) (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.f64 (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))))) (fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (fabs.f64 (sin.f64 kx))))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx)))) ky))
#s(approx (fabs (sin ky)) (fabs.f64 (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 ky ky #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (pow (sin ky) 2) (.f64 (fma.f64 (-.f64 (.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 (-.f64 (.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 (sin ky) (sin.f64 ky))
#s(approx (+ (* ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 (/.f64 (cos.f64 (+.f64 kx kx)) (.f64 ky ky)) #s(literal 1/2 binary64))) (*.f64 ky ky)))
#s(approx (* (/ (sin 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))))) (.f64 (fma.f64 (/.f64 (.f64 th th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64) (/.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 (.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 (-.f64 (.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 (-.f64 (.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.f64 th))

eval127.0ms (1.9%)

Memory: -9.4MiB live, 94.1MiB allocated; 21ms collecting garbage
Compiler: Compiled 6 796 to 2 562 computations (62.3% saved)

prune49.0ms (0.7%)

Memory

27.7MiB live, 73.1MiB allocated; 4ms collecting garbage

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	486	35	521
Fresh	7	5	12
Picked	3	2	5
Done	0	0	0
Total	496	42	538

Accuracy

100.0%

Counts

538 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	49.6%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))))
	86.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	78.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
	50.1%	(*.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))
	77.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	21.8%	(.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)))))))) #s(approx (sin th) th))
	29.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (*.f64 kx kx)))))) (sin.f64 th))
	31.7%	(.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 ky ky))))))) (sin.f64 th))
	13.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
	43.1%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 ky)))))) (sin.f64 th))
	29.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))) (sin.f64 th))
	13.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky)))))) (sin.f64 th))
▶	22.1%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) (.f64 (fma.f64 (-.f64 (.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)))
	22.1%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) (.f64 (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
	22.1%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
▶	22.4%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th))
	46.6%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
▶	31.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	37.6%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	17.7%	(.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 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))) (sin.f64 th))
	40.3%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (exp.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	30.3%	(*.f64 (/.f64 #s(approx (sin ky) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin ky) ky)))) (sin.f64 th))
▶	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))))
	60.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (+.f64 (cosh.f64 (log.f64 (sin.f64 kx))) (sinh.f64 (log.f64 (sin.f64 kx)))) (sin.f64 ky))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	46.6%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))))
	52.4%	(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	43.2%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
	41.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	64.2%	(*.f64 #s(approx (sin ky) ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))))
	39.8%	#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))))))
	29.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
✓	39.8%	#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))))
	20.6%	#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 (.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)))))
	20.6%	#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 (.f64 #s(literal 1/120 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	20.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	20.8%	#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))))
	49.0%	#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))))
	21.2%	#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))))
▶	21.6%	#s(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))))
	41.8%	#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 1 714 to 1 568 computations (8.5% saved)

series152.0ms (2.2%)

Memory

-11.2MiB live, 185.1MiB allocated; 39ms collecting garbage

Counts

44 → 136

Calls

Call 1

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

Outputs
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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 (/ (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 (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#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 (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) #s(hole binary64 ky))
#s(approx (/ 1 (pow (sin ky) -1)) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (/ 1 (pow (sin ky) -1)) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (/ 1 (pow (sin ky) -1)) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ 1 ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow ky 2))) ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin kx) 2)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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 (/ (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 (fabs (sin ky)) #s(hole binary64 (fabs (sin ky))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (log ky)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (+ (log ky) (* -1/6 (pow ky 2)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (* 2 (log ky))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (+ (* -1/3 (pow ky 2)) (* 2 (log ky)))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (+ (* 2 (log ky)) (* (pow ky 2) (- (* -1/90 (pow ky 2)) 1/3)))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (+ (* 2 (log ky)) (* (pow ky 2) (- (* (pow ky 2) (- (* -2/2835 (pow ky 2)) 1/90)) 1/3)))))
#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 (/ 1 (pow (sin ky) -1)) #s(hole binary64 (sin ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (* 1/2 (log (- 1/2 (* 1/2 (cos (* 2 ky))))))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (log (- 1/2 (* 1/2 (cos (* 2 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 (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (* 1/2 (log (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (log (- 1/2 (* 1/2 (cos (neg (* -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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ th (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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 (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (- (* 1/120 (pow th 2)) 1/6)))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) (* th th)) #s(hole binary64 (* 1/120 (pow th 2))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2))))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (sin th) #s(hole binary64 (sin th)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1/5040 (pow th 7))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* (pow th 7) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* -1/5040 (pow th 6))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (* -1/5040 (pow th 4))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow th 2))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* (pow th 2) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))))))))

Calls

9 calls:

Time	Variable		Point	Expression
58.0ms	ky	@	-inf	((* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/ 1 (pow (sin ky) -1)) 1 (pow (sin ky) -1) (sin ky) ky -1 (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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 ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (* (/ (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))) (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky))
43.0ms	ky	@	inf	((* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/ 1 (pow (sin ky) -1)) 1 (pow (sin ky) -1) (sin ky) ky -1 (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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 ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (* (/ (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))) (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky))
24.0ms	th	@	-inf	((* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/ 1 (pow (sin ky) -1)) 1 (pow (sin ky) -1) (sin ky) ky -1 (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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 ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (* (/ (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))) (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky))
5.0ms	kx	@	-inf	((* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/ 1 (pow (sin ky) -1)) 1 (pow (sin ky) -1) (sin ky) ky -1 (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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 ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (* (/ (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))) (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky))
4.0ms	th	@	inf	((* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/ 1 (pow (sin ky) -1)) 1 (pow (sin ky) -1) (sin ky) ky -1 (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (sin th) th (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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 ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs (sin ky)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (* (/ (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))) (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (- 1/2 (* 1/2 (cos (+ ky ky)))) 1/2 (* 1/2 (cos (+ ky ky))) (cos (+ ky ky)) (+ ky ky))

rewrite216.0ms (3.2%)

Memory

21.5MiB live, 344.3MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	777	5773
0	837	4727
1	4481	4429
0	8595	4256

Stop Event

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

Counts

180 → 535

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (sin.f64 ky) #s(literal -1 binary64))
(sin.f64 ky)
ky
#s(literal -1 binary64)
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))))
(sin.f64 th)
th
(hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
(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))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th))
(/.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))) (fabs.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) (.f64 (fma.f64 (-.f64 (.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) (.f64 (fma.f64 (-.f64 (.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))
(.f64 (fma.f64 (-.f64 (.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)
(fma.f64 (-.f64 (.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))
(-.f64 (.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 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (*.f64 th th))
(fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 th th)
#s(literal -1/5040 binary64)
#s(literal 1/120 binary64)
#s(literal 1/6 binary64)
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.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 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64)))
(.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))
(log.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 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)
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(hole binary64 (sqrt (pow (sin ky) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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 (/ (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 (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#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 (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) #s(hole binary64 ky))
#s(approx (/ 1 (pow (sin ky) -1)) #s(hole binary64 (* ky (+ 1 (* -1/6 (pow ky 2))))))
#s(approx (/ 1 (pow (sin ky) -1)) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))))
#s(approx (/ 1 (pow (sin ky) -1)) #s(hole binary64 (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ 1 ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ (+ 1 (* 1/6 (pow ky 2))) ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ (sin th) (sqrt (pow (sin kx) 2)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #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 (/ (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 (fabs (sin ky)) #s(hole binary64 (fabs (sin ky))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (log ky)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (+ (log ky) (* -1/6 (pow ky 2)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (* 2 (log ky))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (+ (* -1/3 (pow ky 2)) (* 2 (log ky)))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (+ (* 2 (log ky)) (* (pow ky 2) (- (* -1/90 (pow ky 2)) 1/3)))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (+ (* 2 (log ky)) (* (pow ky 2) (- (* (pow ky 2) (- (* -2/2835 (pow ky 2)) 1/90)) 1/3)))))
#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 (/ 1 (pow (sin ky) -1)) #s(hole binary64 (sin ky)))
#s(approx (pow (sin ky) -1) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (* 1/2 (log (- 1/2 (* 1/2 (cos (* 2 ky))))))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (log (- 1/2 (* 1/2 (cos (* 2 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 (exp (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2)) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) #s(hole binary64 (* 1/2 (log (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) #s(hole binary64 (log (- 1/2 (* 1/2 (cos (neg (* -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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #s(hole binary64 (/ (* th (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #s(hole binary64 (/ th (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) #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 (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow th 2)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (- (* 1/120 (pow th 2)) 1/6)))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) (* th th)) #s(hole binary64 (* 1/120 (pow th 2))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) (* th th)) #s(hole binary64 (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2))))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (sin th) #s(hole binary64 (sin th)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1/5040 (pow th 7))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* (pow th 7) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* -1/5040 (pow th 6))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (* -1/5040 (pow th 4))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow th 2))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* (pow th 2) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))))))))

Outputs
(*.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))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sin.f64 ky)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 ky))))
(fabs.f64 (neg.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 ky)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 ky))) (sinh.f64 (log.f64 (sin.f64 ky))))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (-.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 ky) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sin.f64 ky)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 ky))))
(fabs.f64 (neg.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 ky)))
(+.f64 (cosh.f64 (log.f64 (sin.f64 ky))) (sinh.f64 (log.f64 (sin.f64 ky))))
ky
#s(literal -1 binary64)
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sin.f64 th)
th
(pow.f64 (+.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))
(/.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 (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))))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (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 (neg.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 (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))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (neg.f64 (neg.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 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (fabs.f64 (sin.f64 kx)))) (sin.f64 ky))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(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)) (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 (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 kx))) (neg.f64 (neg.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 (sin.f64 ky)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.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 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (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 (fabs.f64 (sin.f64 kx)) (neg.f64 (neg.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 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (neg.f64 (neg.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 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(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 (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)))
(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
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/.f64 (*.f64 #s(approx (sin th) th) ky) (fabs.f64 (sin.f64 kx))))
(*.f64 #s(approx (sin th) th) (/.f64 ky (fabs.f64 (sin.f64 kx))))
(/.f64 (neg.f64 (*.f64 #s(approx (sin th) th) ky)) (neg.f64 (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)
(*.f64 ky #s(approx (sin th) th))
#s(approx (sin th) th)
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 kx))) (sqrt.f64 (neg.f64 (sin.f64 kx))))
(*.f64 (sqrt.f64 (fabs.f64 (sin.f64 kx))) (sqrt.f64 (fabs.f64 (sin.f64 kx))))
(*.f64 (sqrt.f64 (sin.f64 kx)) (sqrt.f64 (sin.f64 kx)))
(*.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 (sqrt.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 kx))))
(fabs.f64 (neg.f64 (sin.f64 kx)))
(fabs.f64 (sin.f64 kx))
(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 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 (.f64 (log.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)))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))) #s(approx (sin th) th))
(.f64 #s(approx (sin th) th) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))))
(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))
(*.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky))))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64)))) (sqrt.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sin.f64 ky)
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(fabs.f64 (neg.f64 (neg.f64 (sin.f64 ky))))
(fabs.f64 (neg.f64 (sin.f64 ky)))
(fabs.f64 (sin.f64 ky))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (/.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)) #s(literal 2 binary64)))
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(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 ky ky)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sin.f64 ky)) (sin.f64 ky)))
(fabs.f64 (*.f64 (sin.f64 ky) (neg.f64 (sin.f64 ky))))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (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 1 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))
(sin.f64 (+.f64 (neg.f64 (+.f64 ky ky)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal -2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 ky ky)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 ky ky)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 ky ky))))
(cos.f64 (neg.f64 (+.f64 ky ky)))
(cos.f64 (*.f64 #s(literal -2 binary64) ky))
(cos.f64 (+.f64 ky ky))
(+.f64 (.f64 (sin.f64 (+.f64 ky ky)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 ky ky)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal -2 binary64) (neg.f64 ky))
(*.f64 #s(literal 2 binary64) ky)
(*.f64 ky #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 ky ky) (.f64 ky ky)) (-.f64 ky ky))
(/.f64 (fma.f64 (.f64 ky ky) ky (.f64 (.f64 ky ky) ky)) (fma.f64 ky ky (-.f64 (.f64 ky ky) (*.f64 ky ky))))
(neg.f64 (*.f64 #s(literal -2 binary64) ky))
(+.f64 ky ky)
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#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (/.f64 (sin.f64 th) (sin.f64 ky)))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
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#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 (-.f64 (.f64 (.f64 kx kx) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/5040 binary64) #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 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sin.f64 ky)))
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#s(approx (sin kx) (sin.f64 kx))
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#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.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 (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (fabs.f64 (sin.f64 kx))) (fma.f64 #s(literal 1/2 binary64) (fma.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))) (/.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.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)))))) (.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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.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 1/120 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 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))) (.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 (pow (sin ky) -1)) ky)
#s(approx (/ 1 (pow (sin ky) -1)) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (/ 1 (pow (sin ky) -1)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (/ 1 (pow (sin ky) -1)) (.f64 (fma.f64 (-.f64 (.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 (pow (sin ky) -1) (/.f64 #s(literal 1 binary64) ky))
#s(approx (pow (sin ky) -1) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (pow (sin ky) -1) (/.f64 (fma.f64 (fma.f64 #s(literal 7/360 binary64) (.f64 ky ky) #s(literal 1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))
#s(approx (pow (sin ky) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/15120 binary64) (.f64 ky ky) #s(literal 7/360 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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 ky ky) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 kx)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (fma.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (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 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 5 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)))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (fma.f64 (fma.f64 (-.f64 (.f64 (neg.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 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 5 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 (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) (.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))))) (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 #s(literal -1/4 binary64) (sin.f64 th)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 5 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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fabs.f64 (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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 (/ (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)))) (.f64 (fma.f64 (neg.f64 (.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 #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 (/.f64 #s(literal 1/120 binary64) (fabs.f64 (sin.f64 kx))) (.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)) (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 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.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) (+.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))) (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) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.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) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal 1/3 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 3 binary64))) (/.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 (/ 1 (pow (sin ky) -1)) (sin.f64 ky))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log.f64 ky))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) (log.f64 ky)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (fma.f64 (-.f64 (.f64 #s(literal -1/180 binary64) (.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky) (log.f64 ky)))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -1/2835 binary64) (.f64 ky ky)) #s(literal 1/180 binary64)) (.f64 ky ky)) #s(literal 1/6 binary64)) (*.f64 ky ky) (log.f64 ky)))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (*.f64 (log.f64 ky) #s(literal 2 binary64)))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (fma.f64 #s(literal -1/3 binary64) (.f64 ky ky) (.f64 (log.f64 ky) #s(literal 2 binary64))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (fma.f64 (-.f64 (.f64 #s(literal -1/90 binary64) (.f64 ky ky)) #s(literal 1/3 binary64)) (.f64 ky ky) (.f64 (log.f64 ky) #s(literal 2 binary64))))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal -2/2835 binary64) (.f64 ky ky)) #s(literal 1/90 binary64)) (.f64 ky ky)) #s(literal 1/3 binary64)) (.f64 ky ky) (.f64 (log.f64 ky) #s(literal 2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) (*.f64 ky ky))
#s(approx (- 1/2 (* 1/2 (cos (+ ky ky)))) (.f64 (fma.f64 #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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (-.f64 (.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 (/ 1 (pow (sin ky) -1)) (sin.f64 ky))
#s(approx (pow (sin ky) -1) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
#s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log.f64 (sin.f64 ky)))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
#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 (pow (sin ky) -1)) (sin.f64 ky))
#s(approx (* (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log.f64 (sin.f64 ky)))
#s(approx (log (- 1/2 (* 1/2 (cos (+ ky ky))))) (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
#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 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (.f64 (fma.f64 (.f64 (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal 1/120 binary64))) (*.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (* (/ 1 (pow (sin ky) -1)) (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))))) (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 (.f64 th th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/5040 binary64))) (.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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (.f64 (fma.f64 (/.f64 (.f64 th th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (.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)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (.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 (-.f64 (.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 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) 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 (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th) th #s(literal 1 binary64)))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (-.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (.f64 (.f64 th th) #s(literal 1/120 binary64)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) (* th th)) (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* th th) -1/5040) 1/120) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (sin th) (sin.f64 th))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (*.f64 (pow.f64 th #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (pow.f64 th #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (*.f64 th th)))) (pow.f64 th #s(literal 7 binary64))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 th #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (*.f64 th th)))) (pow.f64 th #s(literal 7 binary64))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 th th)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))))))
#s(approx (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) (-.f64 (-.f64 (+.f64 (pow.f64 th #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/5040 binary64)))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (.f64 (.f64 (.f64 th th) (.f64 th th)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 th th)) #s(literal 1/5040 binary64))))
#s(approx (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 (.f64 th th) (.f64 th th))))
#s(approx (+ (* (* th th) -1/5040) 1/120) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* th th) -1/5040) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (*.f64 th th)))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) (pow.f64 th #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))) (/.f64 #s(literal 1/120 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 7 binary64)))))
#s(approx (* (+ (* (- (* (+ (* (* th th) -1/5040) 1/120) (* th th)) 1/6) (* th th)) 1) th) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))) (/.f64 #s(literal 1/120 binary64) (*.f64 th th)))) (pow.f64 th #s(literal -6 binary64))) (pow.f64 th #s(literal 7 binary64)))))

eval100.0ms (1.5%)

Memory: -8.8MiB live, 124.4MiB allocated; 20ms collecting garbage
Compiler: Compiled 7 043 to 2 445 computations (65.3% saved)

prune60.0ms (0.9%)

Memory

31.2MiB live, 125.4MiB allocated; 21ms collecting garbage

Pruning

63 alts after pruning (58 fresh and 5 done)

	Pruned	Kept	Total
New	399	25	424
Fresh	2	33	35
Picked	2	3	5
Done	0	2	2
Total	403	63	466

Accuracy

100.0%

Counts

466 → 63

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	36.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
	49.6%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))))
▶	21.9%	(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th) th #s(literal 1 binary64)) th))) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
	22.5%	(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
	99.5%	(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
▶	99.5%	(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	86.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	78.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
	50.1%	(*.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))
	77.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	21.8%	(.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)))))))) #s(approx (sin th) th))
	29.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (*.f64 kx kx)))))) (sin.f64 th))
	31.7%	(.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 ky ky))))))) (sin.f64 th))
	13.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
	43.1%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 ky)))))) (sin.f64 th))
	29.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))) (sin.f64 th))
	13.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky)))))) (sin.f64 th))
	22.1%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) (.f64 (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
	22.1%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
✓	22.4%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th))
	46.6%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
▶	31.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	11.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	11.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	31.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	16.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	14.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 #s(approx ( (log (- 1/2 (* 1/2 (cos (+ ky ky))))) 1/2) (log.f64 ky))))) (sin.f64 th))
▶	16.1%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky)))) #s(approx (sin th) th))
	30.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))) (sin.f64 th))
	37.6%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	17.7%	(.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 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))) (sin.f64 th))
	40.3%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (exp.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	30.3%	(*.f64 (/.f64 #s(approx (sin ky) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin ky) ky)))) (sin.f64 th))
	76.4%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fabs.f64 (sin.f64 kx)))))
	52.4%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	74.0%	(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))))))
	38.3%	(.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	46.6%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))))
	52.4%	(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	43.2%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
	41.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	23.5%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th))
	64.2%	(*.f64 #s(approx (/ 1 (pow (sin ky) -1)) ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (/ 1 (pow (sin ky) -1)) ky))))
	39.8%	#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))))))
	29.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
✓	39.8%	#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))))
	20.6%	#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 (.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)))))
	20.6%	#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 (.f64 #s(literal 1/120 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	20.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	20.8%	#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))))
	49.0%	#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))))
	21.2%	#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))))
	21.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))))
	16.4%	#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)))))))
✓	21.6%	#s(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))))
	14.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 kx kx)) #s(literal 1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	14.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 (.f64 kx kx) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	14.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
▶	15.0%	#s(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))))
	41.8%	#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 2 710 to 2 447 computations (9.7% saved)

series144.0ms (2.1%)

Memory

-23.9MiB live, 197.8MiB allocated; 130ms collecting garbage

Counts

50 → 167

Calls

Call 1

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

Outputs
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sqrt (pow (sin ky) 2)) (sin ky))))
#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (/ (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (/ (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sqrt (pow (sin kx) 2)) ky)))
#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (/ 1 (sin ky)) #s(hole binary64 (/ 1 ky)))
#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow ky 2))) ky)))
#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)))
#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)))
#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 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 (/ (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) (sin th)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (+ ky (* -1/6 (pow ky 3)))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (+ ky (* (pow ky 2) (+ (* -1/6 ky) (* 1/120 (pow ky 3)))))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (+ ky (* (pow ky 2) (+ (* -1/6 ky) (* (pow ky 2) (+ (* -1/5040 (pow ky 3)) (* 1/120 ky))))))))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (log ky)))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (+ (log ky) (* -1/6 (pow ky 2)))))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (* 2 (log ky))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (- (* -1/3 (pow ky 2)) (* -2 (log ky)))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (- (* (pow ky 2) (- (* -1/90 (pow ky 2)) 1/3)) (* -2 (log ky)))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (- (* (pow ky 2) (- (* (pow ky 2) (- (* -2/2835 (pow ky 2)) 1/90)) 1/3)) (* -2 (log ky)))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (* -2 (log ky))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (+ (* -2 (log ky)) (* 1/3 (pow ky 2)))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (+ (* -2 (log ky)) (* (pow ky 2) (+ 1/3 (* 1/90 (pow ky 2)))))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (+ (* -2 (log ky)) (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/90 (* 2/2835 (pow ky 2)))))))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ 1 (pow ky 2))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ 1 (* 1/3 (pow ky 2))) (pow ky 2))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/3 (* 1/15 (pow ky 2))))) (pow ky 2))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))) (pow ky 2))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* (cos (+ ky ky)) 1/2) #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 (/ 1 (sin ky)) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (pow (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))) -1/2)))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (* -1/2 (log (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (* -1 (log (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (log (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (* 2 ky))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (pow (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))) -1/2)))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (* -1/2 (log (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (* -1 (log (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (log (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 ky))))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (neg (* -2 ky)))))
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (* 1 (sin th)) #s(hole binary64 th))
#s(approx (* 1 (sin th)) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (* 1 (sin th)) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (* 1 (sin th)) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky th) (fabs (sin kx)))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* -1/6 (/ (* ky (pow th 2)) (fabs (sin kx)))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* 1/120 (/ (* ky (pow th 2)) (fabs (sin kx)))))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (fabs (sin kx)))) (* 1/120 (/ ky (fabs (sin kx)))))))) (/ ky (fabs (sin kx)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky th)))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* -1/6 (* ky (pow th 2)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (sin ky))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (+ 1 (* -1/6 (pow th 2)))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1/6 th)))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* th (- (* 1/120 (pow th 2)) 1/6))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* th (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (- (* 1/120 (pow th 2)) 1/6)))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))
#s(approx (* (* (+ (* (* th th) -1/5040) 1/120) th) th) #s(hole binary64 (* 1/120 (pow th 2))))
#s(approx (* (* (+ (* (* th th) -1/5040) 1/120) th) th) #s(hole binary64 (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2))))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* 1/120 th)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* th (+ 1/120 (* -1/5040 (pow th 2))))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* 1 (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1/5040 (pow th 7))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* (pow th 7) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* -1/5040 (pow th 6))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1/5040 (pow th 5))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* (pow th 5) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* (pow th 5) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (* -1/5040 (pow th 4))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* -1/5040 (pow th 3))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* (pow th 3) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow th 2))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* (pow th 2) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1 (* (pow th 5) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1 (* (pow th 5) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* -1 (* (pow th 3) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))

Calls

9 calls:

Time	Variable		Point	Expression
88.0ms	ky	@	-inf	((/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* 1 (sin th)) 1 (sin th) th (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/ 1 (sin ky)) (sin ky) ky (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 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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (pow (sin ky) -1)) (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (* (sin ky) (sin th)) (sin th) (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (* (+ (* (* th th) -1/5040) 1/120) th) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (* (/ (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))) (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
23.0ms	ky	@	inf	((/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* 1 (sin th)) 1 (sin th) th (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/ 1 (sin ky)) (sin ky) ky (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 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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (pow (sin ky) -1)) (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (* (sin ky) (sin th)) (sin th) (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (* (+ (* (* th th) -1/5040) 1/120) th) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (* (/ (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))) (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
6.0ms	kx	@	0	((/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* 1 (sin th)) 1 (sin th) th (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/ 1 (sin ky)) (sin ky) ky (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 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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (pow (sin ky) -1)) (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (* (sin ky) (sin th)) (sin th) (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (* (+ (* (* th th) -1/5040) 1/120) th) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (* (/ (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))) (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
5.0ms	ky	@	0	((/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* 1 (sin th)) 1 (sin th) th (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/ 1 (sin ky)) (sin ky) ky (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 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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (pow (sin ky) -1)) (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (* (sin ky) (sin th)) (sin th) (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (* (+ (* (* th th) -1/5040) 1/120) th) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (* (/ (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))) (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
4.0ms	th	@	-inf	((/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) (* 1 (sin th)) 1 (sin th) th (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/ 1 (sin ky)) (sin ky) ky (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 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)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (pow (sin ky) -1)) (/ (* (sin ky) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1)))))) (* (sin ky) (sin th)) (sin th) (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (* (+ (* (* th th) -1/5040) 1/120) th) (+ (* (* th th) -1/5040) 1/120) (* th th) -1/5040 1/120 1/6 (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (* (/ (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))) (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))

rewrite208.0ms (3.1%)

Memory

-29.8MiB live, 303.9MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	898	6427
0	966	5395
1	5187	5033
0	8356	4839

Stop Event

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

Counts

217 → 495

Calls

Call 1

Inputs
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
#s(literal 1 binary64)
(sin.f64 th)
th
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(sin.f64 ky)
ky
(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 #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 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky)))) #s(approx (sin th) th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky)))
#s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky))
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(.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th)
(fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))
(*.f64 th th)
#s(literal -1/5040 binary64)
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))) (sin.f64 th))
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#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))
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#s(literal 1/2 binary64)
(*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))
(cos.f64 (+.f64 ky ky))
(+.f64 ky ky)
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* (sin ky) (sin th)) (sqrt (pow (sin ky) 2)))))
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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))))))
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#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sqrt (pow (sin ky) 2)) (sin ky))))
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#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (/ (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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 (/ (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))) #s(hole binary64 (/ (* ky (sin th)) (sqrt (pow (sin kx) 2)))))
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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)))))))
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#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ (sqrt (pow (sin kx) 2)) ky)))
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#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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)))
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#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ 1 ky)))
#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow ky 2))) ky)))
#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)))
#s(approx (/ 1 (sin ky)) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)))
#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 kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (pow (sin kx) 2))))
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#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 (/ (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) (sin th)) #s(hole binary64 (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (+ ky (* -1/6 (pow ky 3)))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (+ ky (* (pow ky 2) (+ (* -1/6 ky) (* 1/120 (pow ky 3)))))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (+ ky (* (pow ky 2) (+ (* -1/6 ky) (* (pow ky 2) (+ (* -1/5040 (pow ky 3)) (* 1/120 ky))))))))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (log ky)))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (+ (log ky) (* -1/6 (pow ky 2)))))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* -1/180 (pow ky 2)) 1/6)))))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (+ (log ky) (* (pow ky 2) (- (* (pow ky 2) (- (* -1/2835 (pow ky 2)) 1/180)) 1/6)))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (* 2 (log ky))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (- (* -1/3 (pow ky 2)) (* -2 (log ky)))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (- (* (pow ky 2) (- (* -1/90 (pow ky 2)) 1/3)) (* -2 (log ky)))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (- (* (pow ky 2) (- (* (pow ky 2) (- (* -2/2835 (pow ky 2)) 1/90)) 1/3)) (* -2 (log ky)))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (* -2 (log ky))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (+ (* -2 (log ky)) (* 1/3 (pow ky 2)))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (+ (* -2 (log ky)) (* (pow ky 2) (+ 1/3 (* 1/90 (pow ky 2)))))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (+ (* -2 (log ky)) (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/90 (* 2/2835 (pow ky 2)))))))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ 1 (pow ky 2))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ 1 (* 1/3 (pow ky 2))) (pow ky 2))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/3 (* 1/15 (pow ky 2))))) (pow ky 2))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))) (pow ky 2))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 1/2))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* (cos (+ ky ky)) 1/2) #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 (/ 1 (sin ky)) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* (sin ky) (sin th))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (pow (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))) -1/2)))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (* -1/2 (log (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (* -1 (log (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (log (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (* 2 ky))))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) #s(hole binary64 (pow (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))) -1/2)))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) #s(hole binary64 (* -1/2 (log (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) #s(hole binary64 (* -1 (log (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))))
#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) #s(hole binary64 (log (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))))
#s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ 1 (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) #s(hole binary64 (- 1/2 (* 1/2 (cos (neg (* -2 ky)))))))
#s(approx (* (cos (+ ky ky)) 1/2) #s(hole binary64 (* 1/2 (cos (neg (* -2 ky))))))
#s(approx (cos (+ ky ky)) #s(hole binary64 (cos (neg (* -2 ky)))))
#s(approx (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (/ (* 1 (sin th)) (* (/ 1 (sin ky)) (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 (* 1 (sin th)) #s(hole binary64 th))
#s(approx (* 1 (sin th)) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (* 1 (sin th)) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))))
#s(approx (* 1 (sin th)) #s(hole binary64 (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (/ (* ky th) (fabs (sin kx)))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* -1/6 (/ (* ky (pow th 2)) (fabs (sin kx)))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* 1/120 (/ (* ky (pow th 2)) (fabs (sin kx)))))) (/ ky (fabs (sin kx)))))))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (fabs (sin kx)))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (fabs (sin kx)))) (* 1/120 (/ ky (fabs (sin kx)))))))) (/ ky (fabs (sin kx)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* ky th)))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* -1/6 (* ky (pow th 2)))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* 1/120 (* ky (pow th 2)))))))))
#s(approx (* (sin th) ky) #s(hole binary64 (* th (+ ky (* (pow th 2) (+ (* -1/6 ky) (* (pow th 2) (+ (* -1/5040 (* ky (pow th 2))) (* 1/120 ky)))))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (sin ky))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))))
#s(approx (* (sin ky) (sin th)) #s(hole binary64 (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (+ 1 (* -1/6 (pow th 2)))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6)))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1/6 th)))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* th (- (* 1/120 (pow th 2)) 1/6))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* th (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 -1/6))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (- (* 1/120 (pow th 2)) 1/6)))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6)))
#s(approx (* (* (+ (* (* th th) -1/5040) 1/120) th) th) #s(hole binary64 (* 1/120 (pow th 2))))
#s(approx (* (* (+ (* (* th th) -1/5040) 1/120) th) th) #s(hole binary64 (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2))))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* 1/120 th)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* th (+ 1/120 (* -1/5040 (pow th 2))))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 1/120))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (+ 1/120 (* -1/5040 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (* 1 (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1/5040 (pow th 7))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* (pow th 7) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* (pow th 7) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* -1/5040 (pow th 6))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* (pow th 6) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) #s(hole binary64 (* (pow th 6) (- (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1/5040 (pow th 5))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* (pow th 5) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* (pow th 5) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (* -1/5040 (pow th 4))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(hole binary64 (* (pow th 4) (- (* 1/120 (/ 1 (pow th 2))) (+ 1/5040 (/ 1/6 (pow th 4)))))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* -1/5040 (pow th 3))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* (pow th 3) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* -1/5040 (pow th 2))))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(hole binary64 (* (pow th 2) (- (* 1/120 (/ 1 (pow th 2))) 1/5040))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) #s(hole binary64 (* -1 (* (pow th 7) (- (+ 1/5040 (/ 1/6 (pow th 4))) (+ (* 1/120 (/ 1 (pow th 2))) (/ 1 (pow th 6))))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1 (* (pow th 5) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) #s(hole binary64 (* -1 (* (pow th 5) (- (+ 1/5040 (/ 1/6 (pow th 4))) (* 1/120 (/ 1 (pow th 2))))))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) #s(hole binary64 (* -1 (* (pow th 3) (- 1/5040 (* 1/120 (/ 1 (pow th 2))))))))

Outputs
(*.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))))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(/.f64 (neg.f64 (*.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(sin.f64 th)
#s(literal 1 binary64)
(*.f64 (sin.f64 th) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 th))
(sin.f64 th)
th
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
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(/.f64 (-.f64 (.f64 ky ky) (.f64 ky ky)) (-.f64 ky ky))
(/.f64 (fma.f64 (.f64 ky ky) ky (.f64 (.f64 ky ky) ky)) (fma.f64 ky ky (-.f64 (.f64 ky ky) (*.f64 ky ky))))
(neg.f64 (*.f64 #s(literal -2 binary64) ky))
(+.f64 ky ky)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky)))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
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#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 (-.f64 (.f64 (.f64 kx kx) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx))
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#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 (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (sin.f64 ky) (sin.f64 ky)))
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#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (sin kx) (sin.f64 kx))
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#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (fabs.f64 (sin.f64 kx)) ky))
#s(approx (* (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (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))
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#s(approx (/ 1 (sin ky)) (/.f64 #s(literal 1 binary64) ky))
#s(approx (/ 1 (sin ky)) (/.f64 (fma.f64 (*.f64 ky ky) #s(literal 1/6 binary64) #s(literal 1 binary64)) ky))
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#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky)
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fabs.f64 (sin.f64 kx)))
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#s(approx (* (sin th) ky) (*.f64 (sin.f64 th) ky))
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#s(approx (* (sin ky) (sin th)) (.f64 (fma.f64 (.f64 (*.f64 ky ky) (sin.f64 th)) #s(literal -1/6 binary64) (sin.f64 th)) ky))
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#s(approx (* (sin ky) (sin th)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (.f64 (fma.f64 (.f64 (.f64 ky ky) (sin.f64 th)) #s(literal -1/5040 binary64) (.f64 (sin.f64 th) #s(literal 1/120 binary64))) (.f64 ky ky))) (*.f64 ky ky) (sin.f64 th)) ky))
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#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (log.f64 ky))
#s(approx (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) (log.f64 ky)))
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#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (*.f64 (log.f64 ky) #s(literal 2 binary64)))
#s(approx (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) (fma.f64 #s(literal -1/3 binary64) (.f64 ky ky) (.f64 (log.f64 ky) #s(literal 2 binary64))))
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#s(approx (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2)))) (*.f64 #s(literal -2 binary64) (log.f64 ky)))
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#s(approx (+ ky ky) (+.f64 ky ky))
#s(approx (/ 1 (sin ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
#s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) (sin.f64 ky))
#s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 th) (sin.f64 ky)))
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#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 (.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 (-.f64 (.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 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th) th #s(literal 1 binary64)) th))
#s(approx (/ (* (sin th) ky) (fabs (sin kx))) (/.f64 (*.f64 ky th) (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 ky th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) ky) #s(literal 1/120 binary64) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th))
#s(approx (* (sin th) ky) (.f64 (fma.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 th th) ky) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) ky)) (.f64 #s(literal -1/6 binary64) ky)) (*.f64 th th) ky) th))
#s(approx (* (sin ky) (sin th)) (*.f64 (sin.f64 ky) th))
#s(approx (* (sin ky) (sin th)) (.f64 (fma.f64 (.f64 (*.f64 th th) #s(literal -1/6 binary64)) (sin.f64 ky) (sin.f64 ky)) th))
#s(approx (* (sin ky) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 (.f64 th th) (sin.f64 ky)) #s(literal 1/120 binary64) (.f64 (sin.f64 ky) #s(literal -1/6 binary64))) (*.f64 th th) (sin.f64 ky)) th))
#s(approx (* (sin ky) (sin th)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (sin.f64 ky) (.f64 (fma.f64 (.f64 (.f64 th th) (sin.f64 ky)) #s(literal -1/5040 binary64) (.f64 (sin.f64 ky) #s(literal 1/120 binary64))) (.f64 th th))) (*.f64 th th) (sin.f64 ky)) th))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (fma.f64 (-.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th) th #s(literal 1 binary64)))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (*.f64 #s(literal -1/6 binary64) th))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (.f64 (-.f64 (.f64 (*.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) th))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) #s(literal -1/6 binary64))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (-.f64 (.f64 (.f64 th th) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (-.f64 (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)))
#s(approx (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (.f64 (.f64 th th) #s(literal 1/120 binary64)))
#s(approx (* (* (+ (* (* th th) -1/5040) 1/120) th) th) (.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) (*.f64 #s(literal 1/120 binary64) th))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th))
#s(approx (+ (* (* th th) -1/5040) 1/120) #s(literal 1/120 binary64))
#s(approx (+ (* (* th th) -1/5040) 1/120) (fma.f64 (*.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (sin th) (sin.f64 th))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (*.f64 (pow.f64 th #s(literal 7 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (pow.f64 th #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (*.f64 th th)))) (pow.f64 th #s(literal 7 binary64))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (.f64 (-.f64 (-.f64 (+.f64 (pow.f64 th #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (*.f64 th th)))) (pow.f64 th #s(literal 7 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 th th)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))))))
#s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (.f64 (.f64 (.f64 (.f64 th th) th) (.f64 (.f64 th th) th)) (-.f64 (-.f64 (+.f64 (pow.f64 th #s(literal -6 binary64)) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (*.f64 (pow.f64 th #s(literal 5 binary64)) #s(literal -1/5040 binary64)))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (.f64 (pow.f64 th #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (.f64 (pow.f64 th #s(literal 5 binary64)) (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (*.f64 th th))))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (.f64 (.f64 (.f64 th th) (.f64 th th)) #s(literal -1/5040 binary64)))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (.f64 (.f64 (.f64 th th) (.f64 th th)) (-.f64 (/.f64 #s(literal 1/120 binary64) (*.f64 th th)) #s(literal 1/5040 binary64))))
#s(approx (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) (.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th)))) (.f64 (.f64 th th) (.f64 th th))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) (.f64 (.f64 (*.f64 th th) th) #s(literal -1/5040 binary64)))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) (.f64 (.f64 (.f64 th th) th) (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64))))
#s(approx (+ (* (* th th) -1/5040) 1/120) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))
#s(approx (+ (* (* th th) -1/5040) 1/120) (.f64 (-.f64 (/.f64 #s(literal 1/120 binary64) (.f64 th th)) #s(literal 1/5040 binary64)) (*.f64 th th)))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) (pow.f64 th #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))) (/.f64 #s(literal 1/120 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 7 binary64)))))
#s(approx (* (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) th) (neg.f64 (.f64 (-.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))) (/.f64 #s(literal 1/120 binary64) (*.f64 th th)))) (pow.f64 th #s(literal -6 binary64))) (pow.f64 th #s(literal 7 binary64)))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) (pow.f64 th #s(literal 5 binary64)))))
#s(approx (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) (neg.f64 (.f64 (+.f64 #s(literal 1/5040 binary64) (-.f64 (/.f64 #s(literal 1/6 binary64) (.f64 (.f64 th th) (.f64 th th))) (/.f64 #s(literal 1/120 binary64) (*.f64 th th)))) (pow.f64 th #s(literal 5 binary64)))))
#s(approx (* (+ (* (* th th) -1/5040) 1/120) th) (neg.f64 (.f64 (-.f64 #s(literal 1/5040 binary64) (/.f64 #s(literal 1/120 binary64) (.f64 th th))) (.f64 (.f64 th th) th))))

eval65.0ms (1%)

Memory: 26.7MiB live, 164.0MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 864 to 3 194 computations (59.4% saved)

prune119.0ms (1.7%)

Memory

-17.7MiB live, 124.1MiB allocated; 14ms collecting garbage

Pruning

72 alts after pruning (65 fresh and 7 done)

	Pruned	Kept	Total
New	472	16	488
Fresh	4	49	53
Picked	3	2	5
Done	0	5	5
Total	479	72	551

Accuracy

100.0%

Counts

551 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	36.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
	49.6%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 ky))))
	22.0%	(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) (.f64 #s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))) th))) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
	22.5%	(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky)))
	21.9%	(/.f64 (.f64 #s(approx (exp ( (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky) #s(approx (sin th) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th) th #s(literal 1 binary64)) th))) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky)))
	99.5%	(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	46.6%	(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fabs.f64 (sin.f64 kx)))))
	41.7%	(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) #s(approx ( (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (fabs.f64 (sin.f64 kx)) ky)))
	51.9%	(/.f64 #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) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	31.5%	(.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))) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	86.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	78.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky)))))))) (sin.f64 th))
	50.1%	(*.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))
	77.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	21.8%	(.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)))))))) #s(approx (sin th) th))
	29.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (*.f64 kx kx)))))) (sin.f64 th))
	31.7%	(.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 ky ky))))))) (sin.f64 th))
	13.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
	43.1%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 ky)))))) (sin.f64 th))
	29.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky))))) (sin.f64 th))
	13.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (.f64 (sqrt.f64 (neg.f64 (sin.f64 ky))) (sqrt.f64 (neg.f64 (sin.f64 ky)))))) (sin.f64 th))
✓	22.4%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th))
	46.6%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	40.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))))) (sin.f64 th))
	11.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (fma.f64 #s(literal -2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	31.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	14.0%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (neg.f64 (log.f64 #s(approx (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (fma.f64 (.f64 ky ky) #s(literal 1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	11.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal 2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	11.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (sin.f64 (fma.f64 #s(literal -2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	31.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))))) (sin.f64 th))
	16.6%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))) #s(literal 1/2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	14.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (exp.f64 #s(approx ( (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2) (log.f64 ky))))) (sin.f64 th))
	30.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (sin.f64 ky))) (sin.f64 th))
	37.6%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))))) (sin.f64 th))
	17.7%	(.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 #s(approx (sin ky) (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))))) (sin.f64 th))
	40.3%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 (+.f64 (exp.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 #s(approx (sin ky) ky) #s(literal 2 binary64))))) (sin.f64 th))
	30.3%	(*.f64 (/.f64 #s(approx (sin ky) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin ky) ky)))) (sin.f64 th))
	16.1%	(.f64 (/.f64 #s(approx (exp ( (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) #s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky)))) #s(approx (sin th) th))
	76.4%	(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal 2 binary64))))))
	46.6%	(.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (fabs.f64 (sin.f64 kx)))))
	74.0%	(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (sin.f64 ky))))))))
	38.3%	(.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
✓	99.6%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	46.6%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fabs.f64 (sin.f64 kx)))))
	52.4%	(*.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	43.2%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (sin.f64 th) (fabs.f64 (sin.f64 ky)))))
	41.7%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) (sin.f64 th))
	23.5%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th))
	64.2%	(*.f64 #s(approx (/ 1 (pow (sin ky) -1)) ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) #s(approx (/ 1 (pow (sin ky) -1)) ky))))
	39.8%	#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))))))
	29.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
✓	39.8%	#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))))
	20.6%	#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 (.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)))))
	20.6%	#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 (.f64 #s(literal 1/120 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	20.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	20.8%	#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))))
	49.0%	#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))))
	21.2%	#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))))
	21.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 #s(approx (sin th) th) ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))))
	16.4%	#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)))))))
	13.8%	#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)))))
✓	21.6%	#s(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))))
	14.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 kx kx)) #s(literal 1/6 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx)))))
	14.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 (.f64 kx kx) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
	14.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
✓	15.0%	#s(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))))
	14.5%	#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))))
	14.4%	#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))))
	14.5%	#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))))
	16.9%	#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)))))
	41.8%	#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 2 808 to 2 070 computations (26.3% saved)

regimes309.0ms (4.6%)

Memory

5.7MiB live, 492.9MiB allocated; 49ms collecting garbage

Counts

94 → 1

Calls

Call 1

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

Calls

9 calls:

43.0ms	(*.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))
43.0ms	(/.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)))))
39.0ms	(sin.f64 kx)
38.0ms	ky
37.0ms	(sin.f64 ky)

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)

regimes325.0ms (4.8%)

Memory

36.6MiB live, 537.5MiB allocated; 121ms collecting garbage

Counts

76 → 2

Calls

Call 1

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

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

Calls

9 calls:

74.0ms	(sin.f64 ky)
62.0ms	kx
46.0ms	(sin.f64 kx)
25.0ms	(*.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))
25.0ms	ky

Results

Accuracy	Segments	Branch
83.9%	3	`(sin.f64 th)`
88.8%	6	`(/.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)))))`
77.9%	6	`(*.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))`
74.1%	4	`(sin.f64 kx)`
75.0%	4	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
80.6%	3	`(sin.f64 ky)`
72.6%	3	`kx`
80.6%	2	`ky`
84.0%	2	`th`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes48.0ms (0.7%)

Memory

-8.3MiB live, 86.8MiB allocated; 31ms collecting garbage

Counts

61 → 6

Calls

Call 1

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

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

Calls

2 calls:

26.0ms	th
19.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
88.8%	6	`(/.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)))))`
80.5%	2	`th`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes56.0ms (0.8%)

Memory

-14.7MiB live, 131.8MiB allocated; 15ms collecting garbage

Counts

60 → 2

Calls

Call 1

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

Outputs

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

3 calls:

19.0ms	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)))))
17.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
80.6%	2	`ky`
64.2%	1	`(sin.f64 th)`
81.2%	4	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 15 to 18 computations (-20% saved)

regimes17.0ms (0.2%)

Memory

-6.9MiB live, 39.6MiB allocated; 2ms collecting garbage

Counts

50 → 2

Calls

Call 1

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

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

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

Calls

1 calls:

14.0ms

ky

Results

Accuracy	Segments	Branch
80.6%	2	`ky`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes15.0ms (0.2%)

Memory

39.6MiB live, 39.6MiB allocated; 0ms collecting garbage

Counts

47 → 2

Calls

Call 1

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

Outputs

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

#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))))

Calls

1 calls:

12.0ms

ky

Results

Accuracy	Segments	Branch
80.6%	2	`ky`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes53.0ms (0.8%)

Memory

-5.8MiB live, 138.7MiB allocated; 6ms collecting garbage

Counts

46 → 3

Calls

Call 1

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

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

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

Calls

4 calls:

14.0ms	(sin.f64 ky)
13.0ms	th
12.0ms	ky
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
74.4%	4	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
74.4%	3	`(sin.f64 ky)`
64.2%	1	`th`
69.5%	3	`ky`

Compiler

Compiled 16 to 21 computations (-31.3% saved)

regimes15.0ms (0.2%)

Memory

-10.6MiB live, 36.0MiB allocated; 2ms collecting garbage

Counts

43 → 3

Calls

Call 1

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

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

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

Calls

1 calls:

12.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
74.2%	3	`(sin.f64 ky)`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes15.0ms (0.2%)

Memory

-7.5MiB live, 35.9MiB allocated; 3ms collecting garbage

Counts

40 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
74.2%	3	`(sin.f64 ky)`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes109.0ms (1.6%)

Memory

17.6MiB live, 210.2MiB allocated; 56ms collecting garbage

Counts

35 → 3

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

43.0ms	(*.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))
21.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
12.0ms	(sin.f64 kx)
12.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
10.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
57.2%	4	`(sin.f64 kx)`
57.2%	3	`kx`
71.7%	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)))))`
54.0%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
57.2%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
64.6%	3	`(sin.f64 ky)`

Compiler

Compiled 36 to 41 computations (-13.9% saved)

regimes13.0ms (0.2%)

Memory

-4.3MiB live, 40.6MiB allocated; 3ms collecting garbage

Counts

34 → 3

Calls

Call 1

Inputs
(.f64 (/.f64 #s(approx (exp ( (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) #s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky)))) #s(approx (sin th) th))
#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) (sqrt.f64 (.f64 #s(approx (sin kx) kx) #s(approx (sin kx) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (.f64 (*.f64 th th) ky) #s(literal -1/6 binary64) ky) th)) (fabs.f64 #s(approx (sin kx) kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 #s(approx (sin th) th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 (.f64 kx kx) #s(literal 1/120 binary64)) #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(approx (exp ( (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky) #s(approx (sin th) (.f64 (fma.f64 (.f64 (-.f64 (.f64 (.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) th) th) #s(literal 1/6 binary64)) th) th #s(literal 1 binary64)) th))) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) #s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky)))
#s(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 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/5040 binary64) #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) (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))))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (fabs.f64 (sin.f64 kx)))) #s(approx (sin th) th))
(*.f64 (/.f64 #s(approx (sin ky) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #s(approx (sin ky) ky)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin th) ky) (.f64 (fma.f64 (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))))
#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) (/.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 #s(approx (sin th) th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.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 #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 (sin.f64 th) ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.f64 #s(literal 1/120 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx)))))
(.f64 (/.f64 #s(approx (sin ky) (.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 #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) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (-.f64 (.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 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) (sin.f64 ky)))) #s(approx (sin th) th))
(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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))))
(*.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 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 (sin.f64 ky)))) #s(approx (sin th) th))
(/.f64 (.f64 #s(literal 1 binary64) (sin.f64 th)) #s(approx ( (/ 1 (sin ky)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 (fabs.f64 (sin.f64 kx)) ky)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( ky ky) (- 1/2 (* 1/2 (cos (* 2 kx))))) (*.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 (sin.f64 kx))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky #s(approx (- 1/2 ( 1/2 (cos (* 2 kx)))) (*.f64 kx kx)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) (.f64 #s(approx (+ (* (* (- (* (* (+ (* (* th th) -1/5040) 1/120) th) th) 1/6) th) th) 1) (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))) th))) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (/ 1 (pow (sin ky) -1)) (/ 1 (pow (sin ky) -1))))) (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)))) #s(approx (sin th) 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(approx (sin ky) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fabs.f64 #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
71.7%	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)

regimes31.0ms (0.5%)

Memory

-31.0MiB live, 69.8MiB allocated; 16ms collecting garbage

Counts

27 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

20.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
8.0ms	ky

Results

Accuracy	Segments	Branch
58.0%	2	`ky`
69.3%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 14 computations (-7.7% saved)

regimes9.0ms (0.1%)

Memory

31.7MiB live, 31.7MiB allocated; 0ms collecting garbage

Counts

26 → 3

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

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

Results

Accuracy	Segments	Branch
69.2%	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)

regimes11.0ms (0.2%)

Memory

-12.8MiB live, 31.3MiB allocated; 3ms collecting garbage

Counts

25 → 3

Calls

Call 1

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

Outputs

(*.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 #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) (fabs.f64 (sin.f64 kx))))

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

Calls

1 calls:

9.0ms

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

Results

Accuracy	Segments	Branch
68.1%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes69.0ms (1%)

Memory

20.9MiB live, 216.0MiB allocated; 10ms collecting garbage

Counts

24 → 3

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

9.0ms	(sin.f64 ky)
8.0ms	(sin.f64 th)
8.0ms	kx
8.0ms	(sin.f64 kx)
7.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Results

Accuracy	Segments	Branch
43.3%	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))`
41.5%	3	`(sin.f64 kx)`
41.5%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
41.5%	2	`kx`
41.9%	2	`ky`
46.0%	3	`(sin.f64 ky)`
41.2%	3	`th`
41.2%	4	`(sin.f64 th)`
52.1%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes9.0ms (0.1%)

Memory

-17.7MiB live, 26.6MiB allocated; 4ms collecting garbage

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

8.0ms

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

Results

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

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes43.0ms (0.6%)

Memory

-15.6MiB live, 132.2MiB allocated; 7ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
31.9%	4	`(sin.f64 th)`
32.0%	3	`th`
33.8%	4	`(sin.f64 kx)`
29.9%	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))`
33.8%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
33.8%	3	`kx`
32.2%	2	`ky`
31.9%	2	`(sin.f64 ky)`
34.0%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 40 to 51 computations (-27.5% saved)

regimes5.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

#s(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 (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(approx (/ 1 (pow (sin ky) -1)) #s(approx (exp (* (neg (log (/ 1 (- 1/2 (* (cos (+ ky ky)) 1/2))))) 1/2)) ky)))) #s(approx (sin th) th))

Calls

1 calls:

4.0ms

(/.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
32.8%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes78.0ms (1.1%)

Memory

0.6MiB live, 110.6MiB allocated; 85ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

49.0ms	th
4.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
3.0ms	(sin.f64 th)
3.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
3.0ms	kx

Results

Accuracy	Segments	Branch
24.7%	2	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
21.9%	1	`(sin.f64 th)`
21.9%	1	`th`
21.9%	1	`(sin.f64 kx)`
26.2%	2	`(sin.f64 ky)`
26.3%	2	`ky`
23.8%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
23.8%	2	`kx`
27.4%	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 40 to 51 computations (-27.5% saved)

regimes18.0ms (0.3%)

Memory

-7.2MiB live, 42.1MiB allocated; 8ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

9 calls:

9.0ms	(sin.f64 ky)
1.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
1.0ms	ky
1.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
1.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
16.1%	1	`(sin.f64 kx)`
16.1%	1	`(sin.f64 th)`
16.1%	1	`th`
16.1%	1	`kx`
16.1%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
16.1%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
16.1%	1	`(sin.f64 ky)`
16.1%	1	`ky`
16.1%	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 40 to 51 computations (-27.5% saved)

bsearch26.0ms (0.4%)

Memory

-17.2MiB live, 75.4MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.10014538036321026	25.98339110180018

Samples

18.0ms

128×

valid

Compiler

Compiled 203 to 194 computations (4.4% saved)

Precisions

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

ival-sin: 8.0ms (56.4% of total)

ival-pow2: 4.0ms (28.2% of total)

ival-sqrt: 1.0ms (7.1% of total)

ival-div!: 1.0ms (7.1% of total)

ival-mult!: 1.0ms (7.1% of total)

adjust: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

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

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.9995889899187828	1.0
0.0ms	0.0039218963272511145	0.04007689849246795
0.0ms	-0.46701481877737444	-0.41502849147658843
0.0ms	-0.9924585622801446	-0.9881072711748736

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch29.0ms (0.4%)

Memory

35.0MiB live, 35.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
27.0ms	9.173480643099505e-7	8385.281017602152

Samples

21.0ms

160×

valid

Compiler

Compiled 309 to 298 computations (3.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sin: 11.0ms (65.4% of total)

ival-pow2: 3.0ms (17.8% of total)

ival-sqrt: 1.0ms (5.9% of total)

ival-div!: 1.0ms (5.9% of total)

ival-mult!: 1.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

bsearch18.0ms (0.3%)

Memory

-34.7MiB live, 18.5MiB allocated; 6ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	9.173480643099505e-7	8385.281017602152

Samples

13.0ms

80×

valid

Compiler

Compiled 339 to 308 computations (9.1% saved)

Precisions

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

ival-sin: 6.0ms (69.7% of total)

ival-sqrt: 1.0ms (11.6% of total)

ival-pow2: 1.0ms (11.6% 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)

bsearch12.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	9.173480643099505e-7	8385.281017602152

Samples

8.0ms

64×

valid

Compiler

Compiled 349 to 328 computations (6% saved)

Precisions

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

ival-sin: 5.0ms (73.5% of total)

ival-pow2: 1.0ms (14.7% of total)

adjust: 0.0ms (0% of total)

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

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

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

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

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.173480643098218e-7	0.0036829984097233297
0.0ms	-0.08282335826815045	-0.009394595806378603

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.173480643098218e-7	0.0036829984097233297
0.0ms	-0.009394595806378603	7.662017980992605e-307

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.173480643098218e-7	0.0036829984097233297
0.0ms	-0.08282335826815045	-0.009394595806378603

Compiler

Compiled 18 to 18 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145
0.0ms	-0.41502849147658843	-0.40837728435695536

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145
0.0ms	-0.02722510791101413	9.033412326228965e-307

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145
0.0ms	-0.508796287718337	-0.4755946643103187

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145
0.0ms	-0.508796287718337	-0.4755946643103187

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145
0.0ms	-0.508796287718337	-0.4755946643103187

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145
0.0ms	-0.508796287718337	-0.4755946643103187

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1134262729216407e-6	0.0039218963272511145

Compiler

Compiled 18 to 19 computations (-5.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.1758899814565937e-7	1.1134262729216407e-6

Compiler

Compiled 18 to 19 computations (-5.6% saved)

derivations703.0ms (10.3%)

Memory

9.1MiB live, 553.2MiB allocated; 109ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 347 to 186 computations (46.4% saved)

preprocess707.0ms (10.4%)

Memory

6.7MiB live, 1 249.7MiB allocated; 150ms collecting garbage

Remove

(negabs th)

(abs kx)

Compiler

Compiled 8 774 to 6 341 computations (27.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze266.0ms (3.9%)

sample1.7s (25.2%)

preprocess68.0ms (1%)

series39.0ms (0.6%)

rewrite233.0ms (3.4%)

eval32.0ms (0.5%)

prune15.0ms (0.2%)

series180.0ms (2.7%)

rewrite255.0ms (3.8%)

eval127.0ms (1.9%)

prune49.0ms (0.7%)

series152.0ms (2.2%)

rewrite216.0ms (3.2%)

eval100.0ms (1.5%)

prune60.0ms (0.9%)

series144.0ms (2.1%)

rewrite208.0ms (3.1%)

eval65.0ms (1%)

prune119.0ms (1.7%)

regimes309.0ms (4.6%)

regimes325.0ms (4.8%)

regimes48.0ms (0.7%)

regimes56.0ms (0.8%)

regimes17.0ms (0.2%)

regimes15.0ms (0.2%)

regimes53.0ms (0.8%)

regimes15.0ms (0.2%)

regimes15.0ms (0.2%)

regimes109.0ms (1.6%)

regimes13.0ms (0.2%)

regimes31.0ms (0.5%)

regimes9.0ms (0.1%)

regimes11.0ms (0.2%)

regimes69.0ms (1%)

regimes9.0ms (0.1%)

regimes43.0ms (0.6%)

regimes5.0ms (0.1%)

regimes78.0ms (1.1%)

regimes18.0ms (0.3%)

bsearch26.0ms (0.4%)

bsearch1.0ms (0%)

bsearch29.0ms (0.4%)

bsearch18.0ms (0.3%)

bsearch12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

derivations703.0ms (10.3%)

preprocess707.0ms (10.4%)

end0.0ms (0%)

Profiling