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

start0.0ms (0%)

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

analyze199.0ms (2.5%)

Memory

43.7MiB live, 236.8MiB allocated; 33ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample2.0s (25.3%)

Memory

9.8MiB live, 1 983.3MiB allocated; 561ms collecting garbage

Samples

1.5s

8 256×

valid

Precisions

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

ival-sin: 678.0ms (58.7% of total)

ival-pow2: 170.0ms (14.7% of total)

ival-add: 138.0ms (12% of total)

ival-sqrt: 57.0ms (4.9% of total)

ival-mult: 55.0ms (4.8% of total)

ival-div: 50.0ms (4.3% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain197.0ms (2.5%)

Memory

44.3MiB live, 272.9MiB allocated; 35ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
22	-	3	(8.39246361155413e-161 4.686877756262157e-216 -2.6652968877681524e-94)	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`
0	-	0	-	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`
0	-	0	-	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`
0	-	0	-	`(sin.f64 kx)`
0	-	0	-	`(sin.f64 th)`
0	-	0	-	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
0	-	0	-	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
0	-	0	-	`th`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
0	-	0	-	`(sin.f64 ky)`
0	-	0	-	`ky`
0	-	0	-	`kx`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))`	uflow-rescue	19	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	63
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	63
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	19

Confusion

	Predicted +	Predicted -
+	19	3
-	0	234

Precision

1.0

Recall

0.8636363636363636

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	19	0	3
-	0	0	234

Precision?

1.0

Recall?

0.8636363636363636

Freqs

test

number	freq
0	237
1	19

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

87.0ms

512×

valid

Compiler

Compiled 152 to 43 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-sin: 34.0ms (54.8% of total)

ival-pow2: 15.0ms (24.2% of total)

ival-div: 3.0ms (4.8% of total)

ival-mult: 3.0ms (4.8% of total)

ival-sqrt: 3.0ms (4.8% of total)

ival-add: 2.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess265.0ms (3.4%)

Memory

-22.2MiB live, 255.2MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	92	163
2	224	163
3	435	163
4	959	163
5	3019	163
0	13	16
0	22	16
1	30	16
2	53	16
3	113	16
4	238	16
5	585	16
6	2343	16
7	7580	16
0	8120	11

Stop Event

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

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))

Outputs

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

Symmetry

(abs kx)

(negabs ky)

(negabs th)

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series45.0ms (0.6%)

Memory

-5.3MiB live, 82.8MiB allocated; 25ms collecting garbage

Counts

13 → 68

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 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#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 kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (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)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (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 (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (sin th) #s(hole binary64 (sin th)))

Calls

9 calls:

Time	Variable		Point	Expression
13.0ms	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)
5.0ms	th	@	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)
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)
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)
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)

rewrite314.0ms (4%)

Memory

6.0MiB live, 353.3MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	432	2436
0	448	2305
1	2695	2273
0	11452	1933

Stop Event

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

Counts

81 → 164

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 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#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 kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (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)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (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 (pow (sin ky) 2) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#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 (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 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #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))))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (.f64 (log.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (neg.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (neg.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 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 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)))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(fma.f64 (sin.f64 ky) (sin.f64 ky) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 6 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))))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 6 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))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
#s(literal 2 binary64)
(*.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64))))
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.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)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (-.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 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)))))) (.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(literal 1 binary64))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx 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) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #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)))))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (-.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (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)) (sin.f64 ky)) (*.f64 kx kx) (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)))) (sin.f64 ky)) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (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 kx kx)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (+ (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) 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) (-.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) (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) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (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 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (*.f64 ky ky))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (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 ky ky)
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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)) (sin.f64 kx)) (*.f64 ky ky) (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)))) (sin.f64 kx)) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #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))))))
#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 (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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (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 #s(literal -1/6 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 #s(literal 1/120 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 th th)
#s(approx (sin th) (sin.f64 th))

eval26.0ms (0.3%)

Memory: -1.6MiB live, 43.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 761 to 916 computations (80.8% saved)

prune73.0ms (0.9%)

Memory

-16.5MiB live, 37.9MiB allocated; 9ms collecting garbage

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	151	24	175
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	24	176

Accuracy

100.0%

Counts

176 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
▶	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	33.9%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
	82.0%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 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))
	81.9%	(.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))
	44.2%	(*.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))))) #s(approx (sin th) th))
	43.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
▶	73.9%	(.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))
	56.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	48.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
▶	40.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
	48.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
▶	35.0%	(.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))
	27.5%	(.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) kx))))))) (sin.f64 th))
	33.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	19.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx 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) #s(literal 1 binary64))) (sin.f64 th))
	31.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	99.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
	19.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (sin.f64 th)))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
	23.9%	#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) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
	94.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
	43.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
▶	34.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))

Compiler

Compiled 1 258 to 946 computations (24.8% saved)

series121.0ms (1.5%)

Memory

24.1MiB live, 68.5MiB allocated; 6ms collecting garbage

Counts

37 → 176

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#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 kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow kx 2)))))
#s(approx (* kx kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (+ (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (+ (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (cos (* 2 ky))))))
#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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (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 (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* -1/3 (pow kx 4))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (+ (/ 1/2 (pow kx 4)) (/ 1 (pow kx 2))) (+ 1/3 (* 1/2 (/ (cos (* 2 ky)) (pow kx 4))))))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 (* -1/3 (pow kx 2))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 (* (pow kx 2) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (cos (* 2 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 1))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))))
#s(approx (* 2 ky) #s(hole binary64 (* 2 ky)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* ky (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* ky (+ (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* ky (+ (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* ky (+ (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/240 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 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 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (cos (* 2 kx))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (cos (* 2 kx))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (cos (* 2 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))))))
#s(approx (sin th) #s(hole binary64 (sin th)))

Calls

9 calls:

Time	Variable		Point	Expression
60.0ms	th	@	inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (+ (* -1/3 (* kx kx)) 1) -1/3 (* kx kx) 1 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
13.0ms	ky	@	-inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (+ (* -1/3 (* kx kx)) 1) -1/3 (* kx kx) 1 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
7.0ms	ky	@	0	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (+ (* -1/3 (* kx kx)) 1) -1/3 (* kx kx) 1 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
7.0ms	kx	@	-inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (+ (* -1/3 (* kx kx)) 1) -1/3 (* kx kx) 1 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))
7.0ms	kx	@	inf	((* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) ky (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) kx (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (+ (* -1/3 (* kx kx)) 1) -1/3 (* kx kx) 1 (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) (- 1/2 (* 1/2 (cos (* 2 kx)))) (* 1/2 (cos (* 2 kx))) (cos (* 2 kx)) (* 2 kx))

rewrite229.0ms (2.9%)

Memory

32.6MiB live, 260.9MiB allocated; 43ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	909	8634
0	966	6580
1	5710	6414
0	8452	6096

Stop Event

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

Counts

213 → 492

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(sin.f64 ky)
ky
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (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)))))))
(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))))))
#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)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #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))))))))
(sqrt.f64 #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 #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))))))
(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)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64))
#s(literal -1/3 binary64)
(*.f64 kx kx)
#s(literal 1 binary64)
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))))
(sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))
(+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))
(cos.f64 (*.f64 #s(literal 2 binary64) kx))
(*.f64 #s(literal 2 binary64) kx)
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#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 kx #s(hole binary64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 (+ 1 (* -1/3 (pow kx 2)))))
#s(approx (* kx kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (sin th)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4)))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (+ (* -1/2 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (+ (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* 1/2 (* (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (+ (* (sin ky) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (sin ky) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 4))))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* 1/2 (* (* (sin ky) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 ky)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))) (* 1/2 (* (pow kx 2) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (* 1/2 (* (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky))))))) (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 ky)))))))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))) (* 1/2 (cos (* 2 ky))))))
#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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (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 (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* -1/3 (pow kx 4))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (+ (/ 1/2 (pow kx 4)) (/ 1 (pow kx 2))) (+ 1/3 (* 1/2 (/ (cos (* 2 ky)) (pow kx 4))))))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 (* -1/3 (pow kx 2))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(hole binary64 (* (pow kx 2) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (sqrt (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (* 1/2 (cos (* 2 kx))) #s(hole binary64 (* 1/2 (cos (* 2 kx)))))
#s(approx (cos (* 2 kx)) #s(hole binary64 (cos (* 2 kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 1))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))))
#s(approx (* 2 ky) #s(hole binary64 (* 2 ky)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* ky (sin th)) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* ky (+ (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/6 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* ky (+ (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* ky (+ (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* -1/6 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* (pow ky 2) (+ (* 1/120 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (+ (* 1/12 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (+ (* 1/2 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4)))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (* (sin th) (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/240 (* (sin th) (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))))) (* -1/5040 (* (sin th) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* -1/6 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* 1/2 (* (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) #s(hole binary64 (* ky (+ (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (+ (* -1/6 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* 1/12 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (+ (* 1/2 (* (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) (+ (* 2/45 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (+ (* 2/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3))) (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 4))))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/12 (* (+ (* 1/3 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 2))) (* 3/4 (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))))) (+ (* -1/240 (sqrt (/ 1 (pow (- 1/2 (* 1/2 (cos (* 2 kx)))) 3)))) (* -1/5040 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (sqrt (- 1/2 (* 1/2 (cos (* 2 kx)))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* 1/2 (* (pow ky 2) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))))))))
#s(approx (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx)))))) #s(hole binary64 (+ (sqrt (- 1/2 (* 1/2 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (* 1/2 (* (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx))))))) (- 1/2 (* 1/2 (cos (* 2 kx)))))))) (sqrt (/ 1 (- 1/2 (* 1/2 (cos (* 2 kx)))))))))))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 kx))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 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 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))) (* 1/2 (cos (* 2 kx))))))
#s(approx (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))) #s(hole binary64 (- (+ 1/2 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))) (* 1/2 (cos (* 2 kx))))))
#s(approx (sin ky) #s(hole binary64 (sin ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (cos (* 2 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (- 1/2 (* 1/2 (cos (* 2 ky)))) (- 1/2 (* 1/2 (cos (* 2 kx))))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky))))))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (- 1 (+ (* 1/2 (cos (* 2 kx))) (* 1/2 (cos (* 2 ky)))))))))))))))))
#s(approx (sin th) #s(hole binary64 (sin th)))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (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 (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)))
(sin.f64 ky)
ky
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64))
(sqrt.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
(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)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (sin.f64 kx))
(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)) (pow.f64 (fabs.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)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (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)) (pow.f64 (fabs.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)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
(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)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(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)) (pow.f64 (fabs.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)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(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)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)))
(sin.f64 kx)
kx
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (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 (cos.f64 (+.f64 ky ky)) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #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 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(pow.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 ky)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky 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 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (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 (-.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 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #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)))
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(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 kx))
(hypot.f64 (sin.f64 kx) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 kx) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 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 kx kx)) #s(literal 1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(fma.f64 (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (-.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 ky)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 ky)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(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 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(fma.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(fma.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(fma.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
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(fma.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sqrt.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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
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(fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(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))))
(-.f64 (+.f64 (-.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 kx kx)) #s(literal 1/2 binary64)))
(-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (neg.f64 (sin.f64 kx)) (sin.f64 kx)))
(-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.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 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 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 kx kx)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 kx)))
(*.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 kx)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (neg.f64 (sin.f64 kx)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 (sin.f64 kx)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #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))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (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 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.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 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 kx kx))))
(*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))
(sin.f64 (+.f64 (neg.f64 (+.f64 kx kx)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (fma.f64 #s(literal 2 binary64) kx (/.f64 (PI.f64) #s(literal 2 binary64))))
(fma.f64 (sin.f64 (+.f64 kx kx)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 kx kx)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
(cos.f64 (neg.f64 (neg.f64 (+.f64 kx kx))))
(cos.f64 (neg.f64 (+.f64 kx kx)))
(cos.f64 (+.f64 kx kx))
(+.f64 (.f64 (sin.f64 (+.f64 kx kx)) (cos.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))) (.f64 (cos.f64 (+.f64 kx kx)) (sin.f64 (/.f64 (PI.f64) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) kx)
(*.f64 kx #s(literal 2 binary64))
(+.f64 kx kx)
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th))))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)))))) (.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(literal 1 binary64))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 ky))) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky)) #s(literal -1/2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (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 kx kx)
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th))))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)))))) (.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(literal 1 binary64))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64)))))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 ky))) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky)) #s(literal -1/2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (-.f64 (fma.f64 kx kx #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (-.f64 (fma.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (* -1/3 (* kx kx)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/3 (* kx kx)) 1) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (* kx kx) (*.f64 kx kx))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx))) #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (sin.f64 ky)) (.f64 kx kx))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1/2 binary64))) (.f64 kx kx) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 (.f64 kx kx) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (.f64 kx kx) (.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (*.f64 (sin.f64 th) (sin.f64 ky))) #s(literal -1/2 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 ky)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 ky) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (sin.f64 ky))) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64))))) (.f64 kx kx) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64))) (.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 ky))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))) (.f64 kx kx) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (.f64 kx kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.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 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (.f64 kx kx))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 kx kx #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 kx kx) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (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) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (*.f64 kx kx))
#s(approx (- 1/2 (* 1/2 (cos (* 2 kx)))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) 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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (sin kx) (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal -1/3 binary64)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (.f64 (.f64 kx kx) (*.f64 kx kx))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (/.f64 #s(literal 1 binary64) (.f64 kx kx))) (fma.f64 (/.f64 (cos.f64 (+.f64 ky ky)) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal 1/2 binary64) #s(literal 1/3 binary64))) (.f64 (.f64 kx kx) (*.f64 kx kx))))
#s(approx (+ (* -1/3 (* kx kx)) 1) (.f64 (.f64 kx kx) #s(literal -1/3 binary64)))
#s(approx (+ (* -1/3 (* kx kx)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))
#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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 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 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 ky (sin.f64 kx)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 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 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/240 binary64) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (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 ky ky)
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 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 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (/.f64 ky (sin.f64 kx)))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 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 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/240 binary64) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (.f64 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky ky) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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 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 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 (- 1/2 (* 1/2 (cos (* 2 ky)))) (*.f64 ky ky))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 ky)))) (.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 (* 1/2 (cos (* 2 ky))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 ky))) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 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 (* 2 ky))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 ky ky) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 ky)) #s(literal 1 binary64))
#s(approx (cos (* 2 ky)) (fma.f64 (*.f64 ky ky) #s(literal -2 binary64) #s(literal 1 binary64)))
#s(approx (cos (* 2 ky)) (fma.f64 (-.f64 (.f64 (.f64 ky ky) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)))
#s(approx (cos (* 2 ky)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal -4/45 binary64) #s(literal 2/3 binary64)) (.f64 ky ky)) #s(literal 2 binary64)) (.f64 ky ky) #s(literal 1 binary64)))
#s(approx (* 2 ky) (+.f64 ky ky))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx (*.f64 ky ky)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx (.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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))))) (.f64 ky ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)))))) (.f64 ky ky) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) ky))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (fma.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (fma.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (.f64 (.f64 ky ky) (fma.f64 (.f64 (sin.f64 th) (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 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 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64))) (sin.f64 th))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (fma.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) (.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))))))) (.f64 ky ky)))) (.f64 ky ky) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sin.f64 th))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal 1/12 binary64))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (.f64 (fma.f64 (+.f64 (-.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal 1/12 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (.f64 (.f64 ky ky) (fma.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 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 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (-.f64 (.f64 (sqrt.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64))) #s(literal -1/240 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))))))))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (.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)) (.f64 ky ky))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (fma.f64 (fma.f64 (fma.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))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (.f64 #s(literal -1/2 binary64) (+.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 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sqrt.f64 (-.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)) (-.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)) (-.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)) (-.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.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)) (-.f64 (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) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 ky))) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 ky)) (cos.f64 (+.f64 ky ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 th th)
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (.f64 th th) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) (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 kx kx)) (cos.f64 (+.f64 ky ky))))))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) (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 kx kx)) (cos.f64 (+.f64 ky ky))))))) (.f64 (.f64 #s(literal -1/6 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 kx kx)) (cos.f64 (+.f64 ky ky))))))))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/6 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 kx kx)) (cos.f64 (+.f64 ky ky))))))) (.f64 (fma.f64 (.f64 #s(literal -1/5040 binary64) (.f64 (.f64 th th) (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 kx kx)) (cos.f64 (+.f64 ky ky))))))) (.f64 (.f64 #s(literal 1/120 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 kx kx)) (cos.f64 (+.f64 ky ky))))))))) (.f64 th th))) (.f64 th th) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))) (sin.f64 ky))) th))
#s(approx (sin th) (sin.f64 th))

eval122.0ms (1.6%)

Memory: -32.2MiB live, 163.2MiB allocated; 49ms collecting garbage
Compiler: Compiled 19 094 to 2 616 computations (86.3% saved)

prune73.0ms (0.9%)

Memory

5.0MiB live, 108.8MiB allocated; 8ms collecting garbage

Pruning

42 alts after pruning (40 fresh and 2 done)

	Pruned	Kept	Total
New	539	32	571
Fresh	11	8	19
Picked	3	2	5
Done	0	0	0
Total	553	42	595

Accuracy

100.0%

Counts

595 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	34.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
	86.3%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	48.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	63.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #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)))) (sin.f64 th))
▶	63.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
	63.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
	50.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
	73.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (+.f64 (-.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 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	73.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (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))))))) (sin.f64 th))
	73.9%	(.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 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.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))))))))) (sin.f64 th))
	20.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky)))))) (sin.f64 th))
▶	35.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	27.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	13.1%	(.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) (sin.f64 (fma.f64 #s(literal 2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th))
	13.0%	(.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) (sin.f64 (+.f64 (neg.f64 (+.f64 ky ky)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th))
	17.1%	(.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))))))) #s(approx (sin th) th))
	4.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 ky))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 ky ky) #s(literal 1/2 binary64))))))) (sin.f64 th))
	2.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 ky))) #s(literal 1/2 binary64)))))) (sin.f64 th))
	12.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 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)))))) (sin.f64 th))
	12.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky))))) (sin.f64 th))
▶	12.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	33.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	3.1%	(.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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	31.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
▶	99.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
	19.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	34.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
	31.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
	23.9%	#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) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
	94.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
	43.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
✓	34.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	18.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin 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)))
	18.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
▶	18.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))
	19.4%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
	38.5%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky))))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
	34.3%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))))

Compiler

Compiled 2 316 to 1 670 computations (27.9% saved)

series50.0ms (0.6%)

Memory

-12.7MiB live, 79.7MiB allocated; 7ms collecting garbage

Counts

40 → 168

Calls

Call 1

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

Outputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#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 kx #s(hole binary64 kx))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 kx))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* kx (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow kx 2)))))
#s(approx (* kx kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 kx))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow kx 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (sqrt (/ 1 (+ (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 (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 (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* -1/3 (pow kx 4))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (+ (/ 1/2 (pow kx 4)) (/ 1 (pow kx 2))) (+ 1/3 (* 1/2 (/ (cos (* 2 ky)) (pow kx 4))))))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (* -1/3 (pow kx 4))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (* (pow kx 4) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* -1/3 (pow kx 3))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 (* -1/3 (pow kx 2))))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 (* (pow kx 2) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* -1/6 (pow kx 3))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 (* -1/6 (pow kx 2))))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 (* (pow kx 2) (- (/ 1 (pow kx 2)) 1/6))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* -1 (* (pow kx 3) (- 1/3 (/ 1 (pow kx 2)))))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (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)))
#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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sin ky) #s(hole binary64 (sin 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 (- 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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))))
#s(approx (sin th) #s(hole binary64 (sin th)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	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)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (* (+ (* (* kx kx) -1/3) 1) kx) (+ (* (* kx kx) -1/3) 1) (* kx kx) -1/3 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) (* (+ (* -1/6 (* kx kx)) 1) kx) (+ (* -1/6 (* kx kx)) 1) -1/6)
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)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (* (+ (* (* kx kx) -1/3) 1) kx) (+ (* (* kx kx) -1/3) 1) (* kx kx) -1/3 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) (* (+ (* -1/6 (* kx kx)) 1) kx) (+ (* -1/6 (* kx kx)) 1) -1/6)
4.0ms	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)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (* (+ (* (* kx kx) -1/3) 1) kx) (+ (* (* kx kx) -1/3) 1) (* kx kx) -1/3 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) (* (+ (* -1/6 (* kx kx)) 1) kx) (+ (* -1/6 (* kx kx)) 1) -1/6)
4.0ms	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)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (* (+ (* (* kx kx) -1/3) 1) kx) (+ (* (* kx kx) -1/3) 1) (* kx kx) -1/3 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) (* (+ (* -1/6 (* kx kx)) 1) kx) (+ (* -1/6 (* kx kx)) 1) -1/6)
3.0ms	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)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (* (+ (* (* kx kx) -1/3) 1) kx) (+ (* (* kx kx) -1/3) 1) (* kx kx) -1/3 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* (cos (+ ky ky)) 1/2)) 1/2 (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky) (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin kx) (* (+ (* -1/6 (* kx kx)) 1) kx) (+ (* -1/6 (* kx kx)) 1) -1/6)

rewrite258.0ms (3.3%)

Memory

16.1MiB live, 300.0MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	6868
0	737	5764
1	3828	5744
0	8680	5445

Stop Event

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

Counts

208 → 542

Calls

Call 1

Inputs
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(literal 1 binary64)
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))
#s(approx (sin th) th)
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))
(.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)
(.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx)
(fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64))
(*.f64 kx kx)
#s(literal -1/3 binary64)
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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)
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))))
(hypot.f64 (sin.f64 ky) #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 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)
(fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
#s(literal -1/6 binary64)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#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 kx #s(hole binary64 kx))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (pow kx 2)) (* 1/2 (cos (* 2 ky))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (- (+ 1/2 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))) (* 1/2 (cos (* 2 ky))))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 kx))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* kx (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 1))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 (+ 1 (* -1/3 (pow kx 2)))))
#s(approx (* kx kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 kx))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 1))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 (+ 1 (* -1/6 (pow kx 2)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (sqrt (/ 1 (+ (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 (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 (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* -1/3 (pow kx 4))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 4) (- (+ (/ 1/2 (pow kx 4)) (/ 1 (pow kx 2))) (+ 1/3 (* 1/2 (/ (cos (* 2 ky)) (pow kx 4))))))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (* -1/3 (pow kx 4))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) #s(hole binary64 (* (pow kx 4) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* -1/3 (pow kx 3))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 (* -1/3 (pow kx 2))))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(hole binary64 (* (pow kx 2) (- (/ 1 (pow kx 2)) 1/3))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* -1/6 (pow kx 3))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* (pow kx 3) (- (/ 1 (pow kx 2)) 1/6))))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 (* -1/6 (pow kx 2))))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(hole binary64 (* (pow kx 2) (- (/ 1 (pow kx 2)) 1/6))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) #s(hole binary64 (* -1 (* (pow kx 3) (- 1/3 (/ 1 (pow kx 2)))))))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) #s(hole binary64 (* -1 (* (pow kx 3) (- 1/6 (/ 1 (pow kx 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow ky 2))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (* (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)))
#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 (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sin ky) #s(hole binary64 (sin 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 (- 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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(hole binary64 (* th (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))))))
#s(approx (sin th) #s(hole binary64 (sin th)))

Outputs
(.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(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 #s(literal -1 binary64)) (sqrt.f64 (neg.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))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (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 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (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)))))))
(/.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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 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 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(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))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 ky))) (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))) (neg.f64 (fabs.f64 (sin.f64 kx))))
(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))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (neg.f64 (sin.f64 kx))) (fabs.f64 (fabs.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))) (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 (fabs.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(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))) (fabs.f64 (fabs.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))) (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 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(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))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 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))) (neg.f64 (fabs.f64 (sin.f64 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))) (exp.f64 (log.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 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (fabs.f64 (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))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (neg.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (neg.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (sin.f64 ky))
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(hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (neg.f64 (neg.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
(hypot.f64 (sin.f64 ky) (neg.f64 (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))))
(hypot.f64 (sin.f64 ky) (pow.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)) #s(literal 1 binary64)))
(hypot.f64 (sin.f64 ky) (neg.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx))))
(hypot.f64 (sin.f64 ky) (fabs.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx))))
(hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)) #s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx))
(.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx)
(.f64 kx (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) kx (.f64 (.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) kx))
(fma.f64 kx #s(literal 1 binary64) (.f64 kx (.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) kx) (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) kx))
(+.f64 (.f64 kx #s(literal 1 binary64)) (.f64 kx (.f64 (.f64 kx kx) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 (.f64 kx kx) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 kx kx) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 (.f64 kx kx) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 kx kx) kx) (.f64 (.f64 kx kx) kx)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/216 binary64) (.f64 (.f64 (.f64 kx kx) kx) (.f64 (.f64 kx kx) kx)))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 #s(literal -1/6 binary64) kx) kx #s(literal 1 binary64))
(fma.f64 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 kx kx)))
(+.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (*.f64 kx kx) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (.f64 kx kx) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)))))) (.f64 kx kx) (sin.f64 th)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(literal 1 binary64))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 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 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(literal 1 binary64))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 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 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (.f64 kx kx)) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 kx kx) (sin.f64 ky)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 ky) #s(literal -3 binary64)))) (.f64 kx kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal -8 binary64))))) (sin.f64 ky)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (.f64 kx kx) (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal -3 binary64)))) (*.f64 kx kx) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (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 kx kx) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 ky))) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky)) #s(literal -1/2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (sin kx) kx)
#s(approx (sin kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx))
#s(approx (sin kx) (.f64 (fma.f64 (-.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 kx kx)
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (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 kx kx) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 ky))) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky)) #s(literal -1/2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (-.f64 (fma.f64 kx kx #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (-.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx #s(literal 1/2 binary64)) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (*.f64 kx kx))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) kx)
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx))
#s(approx (+ (* (* kx kx) -1/3) 1) #s(literal 1 binary64))
#s(approx (+ (* (* kx kx) -1/3) 1) (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)))
#s(approx (* kx kx) (*.f64 kx kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (*.f64 kx kx) (sin.f64 th)))
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#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(literal 1 binary64))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (-.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 ky) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -4 binary64)) #s(literal 1/3 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 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 kx kx) #s(literal 1 binary64)))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 ky)) #s(literal 1/2 binary64) (sin.f64 ky)))
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#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) (/.f64 (-.f64 #s(literal 2/45 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64))) (sin.f64 ky))) #s(literal 1/2 binary64) (.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/3 binary64)) (sin.f64 ky)) #s(literal -1/2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (*.f64 kx kx) (sin.f64 ky)))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) kx)
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) kx))
#s(approx (+ (* -1/6 (* kx kx)) 1) #s(literal 1 binary64))
#s(approx (+ (* -1/6 (* kx kx)) 1) (fma.f64 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (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 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin 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 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(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal -1/3 binary64)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (.f64 (.f64 kx kx) (*.f64 kx kx))))
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#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (.f64 (.f64 (.f64 kx kx) (.f64 kx kx)) #s(literal -1/3 binary64)))
#s(approx (* (* (+ (* (* kx kx) -1/3) 1) kx) kx) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (.f64 (.f64 kx kx) (*.f64 kx kx))))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) (.f64 (.f64 (*.f64 kx kx) kx) #s(literal -1/3 binary64)))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) (.f64 (.f64 (.f64 kx kx) kx) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64))))
#s(approx (+ (* (* kx kx) -1/3) 1) (.f64 (.f64 kx kx) #s(literal -1/3 binary64)))
#s(approx (+ (* (* kx kx) -1/3) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)) (*.f64 kx kx)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (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 (* (+ (* -1/6 (* kx kx)) 1) kx) (.f64 (.f64 (*.f64 kx kx) kx) #s(literal -1/6 binary64)))
#s(approx (* (+ (* -1/6 (* kx kx)) 1) kx) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (.f64 (.f64 kx kx) kx)))
#s(approx (+ (* -1/6 (* kx kx)) 1) (.f64 (.f64 kx kx) #s(literal -1/6 binary64)))
#s(approx (+ (* -1/6 (* kx kx)) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/6 binary64)) (*.f64 kx kx)))
#s(approx (* (+ (* (* kx kx) -1/3) 1) kx) (neg.f64 (.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) (.f64 kx kx))) (.f64 (.f64 kx kx) kx))))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (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 -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (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 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 ky (sin.f64 kx)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 ky ky) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 kx)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky 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 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 kx))) #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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (-.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 ky ky)
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky 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 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 kx))) #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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.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 kx kx))))))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx (*.f64 ky ky)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))
#s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (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 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) (*.f64 ky ky))
#s(approx (- 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(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) (.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 (- 1/2 (* (cos (+ ky ky)) 1/2)) (.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 (* (cos (+ ky ky)) 1/2) #s(literal 1/2 binary64))
#s(approx (* (cos (+ ky ky)) 1/2) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (* (cos (+ ky ky)) 1/2) (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 (* (cos (+ ky ky)) 1/2) (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 (.f64 ky ky) #s(literal 2/3 binary64)) #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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (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 -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (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 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky 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 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 kx))) #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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ ky ky)) 1/2) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (cos (+ ky ky)) (cos.f64 (+.f64 ky ky)))
#s(approx (- 1/2 (* (cos (+ ky ky)) 1/2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* (cos (+ ky ky)) 1/2) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (cos (+ ky ky)) (cos.f64 (+.f64 ky ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/120 binary64))) (.f64 th th) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (*.f64 #s(literal 1 binary64) (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 th th)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/120 binary64))) (.f64 th th) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th))
#s(approx (sin th) (sin.f64 th))

eval113.0ms (1.4%)

Memory: 12.8MiB live, 201.6MiB allocated; 45ms collecting garbage
Compiler: Compiled 21 484 to 2 974 computations (86.2% saved)

prune68.0ms (0.9%)

Memory

-0.2MiB live, 190.5MiB allocated; 22ms collecting garbage

Pruning

56 alts after pruning (51 fresh and 5 done)

	Pruned	Kept	Total
New	582	28	610
Fresh	12	23	35
Picked	2	3	5
Done	0	2	2
Total	596	56	652

Accuracy

100.0%

Counts

652 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	34.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
	10.4%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))))
	34.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	63.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	48.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	63.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #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)))) (sin.f64 th))
✓	63.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
	34.7%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	63.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) #s(approx ( (+ (* -1/6 (* kx kx)) 1) kx) kx)))) (sin.f64 th))
	50.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
	35.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
	34.9%	(.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (sin.f64 th))
	73.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (+.f64 (-.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 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	73.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (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))))))) (sin.f64 th))
	73.9%	(.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 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.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))))))))) (sin.f64 th))
	20.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky)))))) (sin.f64 th))
	13.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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)))))) (sin.f64 th))
	13.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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)))))) (sin.f64 th))
✓	35.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	27.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
▶	17.1%	(.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))))))) #s(approx (sin th) th))
	4.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( (cos (+ ky ky)) 1/2) (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))))))) (sin.f64 th))
	2.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( (cos (+ ky ky)) 1/2) #s(literal 1/2 binary64)))))) (sin.f64 th))
	12.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( (cos (+ ky ky)) 1/2)) (.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)))))) (sin.f64 th))
	12.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( (cos (+ ky ky)) 1/2)) (*.f64 ky ky))))) (sin.f64 th))
	7.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	8.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 #s(approx ( (+ (* (* kx kx) -1/3) 1) kx) (.f64 (.f64 (.f64 kx kx) kx) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)))) kx))))) (sin.f64 th))
	20.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 #s(approx ( (+ (* (* kx kx) -1/3) 1) kx) kx) kx))))) (sin.f64 th))
	11.7%	(.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
	33.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	3.1%	(.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)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	11.4%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	11.5%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	19.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	31.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	73.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (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)) (sin.f64 ky))) (sin.f64 th))
▶	99.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
	50.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 ky))) (sin.f64 th))
	34.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
▶	33.7%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
	73.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 ky))) (sin.f64 th))
	31.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
▶	19.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
	23.9%	#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) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
	94.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
	43.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
✓	34.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	18.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin 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)))
▶	18.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
✓	18.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))
	38.5%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky))))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
	34.3%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))))

Compiler

Compiled 3 464 to 2 466 computations (28.8% saved)

series49.0ms (0.6%)

Memory

9.9MiB live, 103.1MiB allocated; 5ms collecting garbage

Counts

46 → 196

Calls

Call 1

Inputs
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)))
#s(literal 1 binary64)
(hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(literal -1/6 binary64)
(.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))))))) #s(approx (sin th) th))
(/.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)))))))
(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))))))
#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)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
#s(approx (sin th) th)
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th))
#s(literal -1/2 binary64)
(/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(.f64 (.f64 kx kx) (sin.f64 th))
(*.f64 kx kx)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 kx))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ 1 kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)))
#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 kx #s(hole binary64 kx))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* (pow kx 2) (sin th))))
#s(approx (* kx kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (sin kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#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 (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (sqrt (/ 1 (+ (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 (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 1))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))))
#s(approx (* 2 ky) #s(hole binary64 (* 2 ky)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* 1/2 (* (pow ky 2) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))))))) (pow ky 2))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (* (pow kx 2) (sin th))) (+ (* 2/135 (* (pow kx 2) (sin th))) (* 1/3 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))) (* 1/2 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))))) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) (sin th)) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ (* 1/3 (* (pow kx 2) (* (pow ky 2) (sin th)))) (* (pow kx 2) (sin th))) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ (* (pow kx 2) (sin th)) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))) (* -1/3 (* (pow kx 2) (sin th)))))) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ (* (pow kx 2) (sin th)) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (* (pow kx 2) (sin th))) (+ (* 2/135 (* (pow kx 2) (sin th))) (* 1/3 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))) (* -1/3 (* (pow kx 2) (sin th)))))) (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 (sin ky) #s(hole binary64 (sin ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (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 (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) (sin th)) (- 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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 th))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) 1/6)))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))) 1/6)))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) 1/5040)))))) 1/6)))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) th) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow kx 2) (pow th 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* 1/120 (/ (* (pow kx 2) (pow th 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow kx 2) (pow th 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* 1/120 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))) (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* (pow kx 2) th)))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (pow kx 2) (pow th 2))) (pow kx 2)))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow kx 2)) (* 1/120 (* (pow kx 2) (pow th 2))))) (pow kx 2)))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow kx 2)) (* (pow th 2) (+ (* -1/5040 (* (pow kx 2) (pow th 2))) (* 1/120 (pow kx 2)))))) (pow kx 2)))))
#s(approx (sin th) #s(hole binary64 (sin th)))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* -1/6 (pow th 3))))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 (* -1/6 (pow th 2))))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	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)))) (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) (/ 1 (/ 1 (sin kx))) (/ 1 (sin kx)) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (* th th) -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))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (* (* kx kx) (sin th)) (* kx kx) (- 1/2 (* (cos (+ ky ky)) 1/2)) (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
6.0ms	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)))) (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) (/ 1 (/ 1 (sin kx))) (/ 1 (sin kx)) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (* th th) -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))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (* (* kx kx) (sin th)) (* kx kx) (- 1/2 (* (cos (+ ky ky)) 1/2)) (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
5.0ms	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)))) (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) (/ 1 (/ 1 (sin kx))) (/ 1 (sin kx)) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (* th th) -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))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (* (* kx kx) (sin th)) (* kx kx) (- 1/2 (* (cos (+ ky ky)) 1/2)) (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
5.0ms	th	@	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)))) (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) (/ 1 (/ 1 (sin kx))) (/ 1 (sin kx)) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (* th th) -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))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (* (* kx kx) (sin th)) (* kx kx) (- 1/2 (* (cos (+ ky ky)) 1/2)) (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))
5.0ms	th	@	-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)))) (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) (/ 1 (/ 1 (sin kx))) (/ 1 (sin kx)) (sin kx) kx (sin ky) ky (sin th) th (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (* th th) -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))) (+ (pow (sin kx) 2) (pow (sin ky) 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))) 1/2 (* 1/2 (cos (* 2 ky))) (cos (* 2 ky)) (* 2 ky) 2 (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (* (* kx kx) (sin th)) (* kx kx) (- 1/2 (* (cos (+ ky ky)) 1/2)) (* (cos (+ ky ky)) 1/2) (cos (+ ky ky)) (+ ky ky))

rewrite282.0ms (3.6%)

Memory

-13.0MiB live, 316.5MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	837	7745
0	895	6302
1	4861	6284
0	8519	5969

Stop Event

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

Counts

242 → 469

Calls

Call 1

Inputs
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)))
#s(literal 1 binary64)
(hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(sin.f64 kx)
kx
(sin.f64 ky)
ky
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)
(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
(*.f64 th th)
#s(literal -1/6 binary64)
(.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))))))) #s(approx (sin th) th))
(/.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)))))))
(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))))))
#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)))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
#s(literal 1/2 binary64)
(.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
#s(approx (sin th) th)
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))
(/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th))
#s(literal -1/2 binary64)
(/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(.f64 (.f64 kx kx) (sin.f64 th))
(*.f64 kx kx)
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 1))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 kx))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (* kx (+ 1 (* -1/6 (pow kx 2))))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ 1 kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ (+ 1 (* 1/6 (pow kx 2))) kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ (+ 1 (* (pow kx 2) (+ 1/6 (* 7/360 (pow kx 2))))) kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ (+ 1 (* (pow kx 2) (+ 1/6 (* (pow kx 2) (+ 7/360 (* 31/15120 (pow kx 2))))))) kx)))
#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 kx #s(hole binary64 kx))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin ky) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow kx 2) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 1))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin ky))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* 1/2 (* (pow kx 2) (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8)))))))) (* 1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))) (* 1/2 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin ky)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (sin th)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* (pow kx 2) (sin th))))
#s(approx (* kx kx) #s(hole binary64 (pow kx 2)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
#s(approx (/ 1 (/ 1 (sin kx))) #s(hole binary64 (sin kx)))
#s(approx (/ 1 (sin kx)) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (sin kx) #s(hole binary64 (sin kx)))
#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 (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (sqrt (/ 1 (+ (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 (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (/ (* ky (sin th)) (sin kx))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (/ ky (sin kx))))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#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 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (/ 1 (/ 1 (sin kx))) (/ 1 (/ 1 (sin kx)))) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#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 ky #s(hole binary64 ky))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (pow (sin kx) 2)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (pow ky 2) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(hole binary64 (+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (pow ky 2)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky))) #s(hole binary64 1/2))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* -1 (pow ky 2)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* 1/3 (pow ky 2)) 1)))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (+ 1/2 (* (pow ky 2) (- (* (pow ky 2) (+ 1/3 (* -2/45 (pow ky 2)))) 1)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 1))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* -2 (pow ky 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* 2/3 (pow ky 2)) 2)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/3 (* -4/45 (pow ky 2)))) 2)))))
#s(approx (* 2 ky) #s(hole binary64 (* 2 ky)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (/ ky (sin kx))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 1/12 (/ 1 (pow (sin kx) 3)))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) #s(hole binary64 (* ky (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* 1/120 (/ 1 (sin kx))) (+ (* 1/12 (/ 1 (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* (pow ky 2) (- (+ (* -1/2 (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))) (* -1/12 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* 1/5040 (/ 1 (sin kx))) (* 1/240 (/ 1 (pow (sin kx) 3)))))))))) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (/ 1 (sin kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* 1/2 (* (pow ky 2) (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) #s(hole binary64 (+ (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (* 1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))) (* 1/2 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (sin kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) #s(hole binary64 (+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* 1/2 (* (pow ky 2) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))))))) (pow ky 2))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (+ (* -1/6 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (+ (* -1/315 (* (pow kx 2) (sin th))) (+ (* 2/135 (* (pow kx 2) (sin th))) (* 1/3 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))) (* 1/2 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))))) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) (sin th)) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ (* 1/3 (* (pow kx 2) (* (pow ky 2) (sin th)))) (* (pow kx 2) (sin th))) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ (* (pow kx 2) (sin th)) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))) (* -1/3 (* (pow kx 2) (sin th)))))) (pow ky 2))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (+ (* (pow kx 2) (sin th)) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (* (pow kx 2) (sin th))) (+ (* 2/135 (* (pow kx 2) (sin th))) (* 1/3 (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th))))))))) (+ (* -1/9 (* (pow kx 2) (sin th))) (* 2/45 (* (pow kx 2) (sin th)))))) (* -1/3 (* (pow kx 2) (sin th)))))) (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 (sin ky) #s(hole binary64 (sin ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) #s(hole binary64 (- 1/2 (* 1/2 (cos (* 2 ky))))))
#s(approx (* 1/2 (cos (* 2 ky))) #s(hole binary64 (* 1/2 (cos (* 2 ky)))))
#s(approx (cos (* 2 ky)) #s(hole binary64 (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 (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (neg (* -2 ky))))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) (sin th)) (- 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 (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(hole binary64 (* (* th (sin ky)) (sqrt (/ 1 (+ (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 (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (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 (+ (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (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 th #s(hole binary64 th))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 th))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* th (+ 1 (* -1/6 (pow th 2))))))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 1))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 (+ 1 (* -1/6 (pow th 2)))))
#s(approx (* th th) #s(hole binary64 (pow th 2)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) 1/6)))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))) 1/6)))))))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) #s(hole binary64 (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) 1/5040)))))) 1/6)))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (/ (* (pow kx 2) th) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (* th (+ (* -1/6 (/ (* (pow kx 2) (pow th 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* 1/120 (/ (* (pow kx 2) (pow th 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))) (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow kx 2) (pow th 2)) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (* 1/120 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))) (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky)))))))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* (pow kx 2) th)))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* th (+ (* -1/6 (* (pow kx 2) (pow th 2))) (pow kx 2)))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow kx 2)) (* 1/120 (* (pow kx 2) (pow th 2))))) (pow kx 2)))))
#s(approx (* (* kx kx) (sin th)) #s(hole binary64 (* th (+ (* (pow th 2) (+ (* -1/6 (pow kx 2)) (* (pow th 2) (+ (* -1/5040 (* (pow kx 2) (pow th 2))) (* 1/120 (pow kx 2)))))) (pow kx 2)))))
#s(approx (sin th) #s(hole binary64 (sin th)))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* -1/6 (pow th 3))))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 (* -1/6 (pow th 2))))
#s(approx (+ (* (* th th) -1/6) 1) #s(hole binary64 (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))))
#s(approx (* (+ (* (* th th) -1/6) 1) th) #s(hole binary64 (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))))

Outputs
(.f64 (sin.f64 th) #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal -1 binary64))
(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 #s(literal -1 binary64)) (sqrt.f64 (neg.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))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(pow.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (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 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 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))) (fabs.f64 (fabs.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))) (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))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (fabs.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (neg.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (neg.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (exp.f64 (log.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)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (neg.f64 (sin.f64 ky)) (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)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (neg.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (neg.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (neg.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)) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (neg.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (fabs.f64 (sin.f64 kx)))
(hypot.f64 (fabs.f64 (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (fabs.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (neg.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (fabs.f64 (sin.f64 kx)) (sin.f64 ky))
(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) (neg.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (fabs.f64 (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 ky) (fabs.f64 (fabs.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 ky) (neg.f64 (sin.f64 kx)))
(hypot.f64 (sin.f64 ky) (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)))
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(literal -1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 kx)))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (sin.f64 kx))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) #s(literal -1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(sin.f64 kx)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 1 binary64)))
kx
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(sin.f64 ky)
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
ky
(sin.f64 th)
th
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)
(.f64 th (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)))
(fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 (*.f64 th th) #s(literal -1/6 binary64))))
(fma.f64 #s(literal 1 binary64) th (.f64 (.f64 (*.f64 th th) #s(literal -1/6 binary64)) th))
(+.f64 (.f64 #s(literal 1 binary64) th) (.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) th))
(+.f64 (.f64 th #s(literal 1 binary64)) (.f64 th (.f64 (.f64 th th) #s(literal -1/6 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) (.f64 (.f64 th th) #s(literal -1/6 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 (*.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) (.f64 (.f64 th th) #s(literal -1/6 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 th th) #s(literal -1/6 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 th th) #s(literal 3 binary64)) #s(literal -1/216 binary64) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) (.f64 (.f64 th th) #s(literal -1/6 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) (.f64 (.f64 th th) #s(literal -1/6 binary64))) (.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/6 binary64))))))
(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64))
(fma.f64 th (*.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 th th)))
(+.f64 (.f64 (.f64 th th) #s(literal -1/6 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 th th) #s(literal -1/6 binary64)))
(*.f64 (fabs.f64 (fabs.f64 th)) (fabs.f64 (fabs.f64 th)))
(*.f64 (exp.f64 (log.f64 th)) (exp.f64 (log.f64 th)))
(*.f64 (neg.f64 th) (neg.f64 th))
(*.f64 (fabs.f64 th) (fabs.f64 th))
(*.f64 th th)
(pow.f64 (exp.f64 (log.f64 th)) #s(literal 2 binary64))
(pow.f64 (neg.f64 th) #s(literal 2 binary64))
(pow.f64 (fabs.f64 th) #s(literal 2 binary64))
(pow.f64 (*.f64 th th) #s(literal 1 binary64))
(pow.f64 th #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 th th)))
(fabs.f64 (*.f64 th th))
(exp.f64 (*.f64 (log.f64 th) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 th) #s(literal 2 binary64))))
#s(literal -1/6 binary64)
(.f64 #s(approx (sin th) th) (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) #s(approx (sin th) th))
(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))))
(/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(pow.f64 (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1/2 binary64)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
(*.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 (neg.f64 (sin.f64 ky)) (neg.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 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (fabs.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 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (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 (-.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 (-.f64 (cos.f64 (-.f64 ky ky)) (cos.f64 (+.f64 ky ky))) #s(literal 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)))
(fabs.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 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 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (+.f64 ky ky))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (neg.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))
(*.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)))
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#s(approx (* kx kx) (*.f64 kx kx))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (sin.f64 th) (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) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (sin.f64 kx)) #s(literal 1/2 binary64) (.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64)))))) #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))) (sin.f64 th)) (fma.f64 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))) (.f64 ky ky) (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (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 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (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 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 ky (sin.f64 kx)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 ky ky) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 kx)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky 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 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 kx))) #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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (sin ky) ky)
#s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky))
#s(approx (sin ky) (.f64 (fma.f64 (-.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 ky ky)
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky 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 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 kx))) #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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx)))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 ky ky (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (.f64 ky ky) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))
#s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.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 kx kx))))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (*.f64 ky ky))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 ky))) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky)) #s(literal 1 binary64))
#s(approx (cos (* 2 ky)) (fma.f64 #s(literal -2 binary64) (*.f64 ky ky) #s(literal 1 binary64)))
#s(approx (cos (* 2 ky)) (fma.f64 (-.f64 (.f64 (.f64 ky ky) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)))
#s(approx (cos (* 2 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 (* 2 ky) (+.f64 ky ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (/.f64 ky (sin.f64 kx)))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (-.f64 (.f64 (+.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (* (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky)) (.f64 (fma.f64 (-.f64 (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/12 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (fma.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx))))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))))))) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -3 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) ky))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (/.f64 (*.f64 ky ky) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 (.f64 (.f64 ky ky) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (/ 1 (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #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) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 2/45 binary64) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal -8 binary64))))) (sin.f64 kx)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (fma.f64 (pow.f64 (sin.f64 kx) #s(literal -6 binary64)) #s(literal 3/4 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal -4 binary64)) #s(literal 1/3 binary64))))) (.f64 ky ky) (.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal -3 binary64)))) (*.f64 ky ky) (/.f64 #s(literal 1 binary64) (sin.f64 kx))))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 kx)) #s(literal 1/2 binary64) (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 ky ky) (/.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 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx)))
#s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky 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 kx kx))))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))) #s(literal -1/2 binary64))) (sin.f64 kx))) #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)) (sin.f64 kx)) #s(literal -1/2 binary64))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (*.f64 ky ky) (sin.f64 kx)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (sin.f64 th) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 ky ky) (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (.f64 (.f64 (.f64 kx kx) (sin.f64 th)) #s(literal -1/15 binary64)) (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (sin.f64 th))) (sin.f64 th)))) (*.f64 ky ky)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (/.f64 (fma.f64 (+.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 (.f64 kx kx) (sin.f64 th)) (fma.f64 #s(literal 2/135 binary64) (.f64 (.f64 kx kx) (sin.f64 th)) (.f64 (.f64 (.f64 (.f64 kx kx) (sin.f64 th)) #s(literal -1/15 binary64)) #s(literal 1/3 binary64)))) (.f64 ky ky) (.f64 (.f64 (.f64 kx kx) (sin.f64 th)) #s(literal -1/15 binary64)))) (.f64 ky ky) (.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (sin.f64 th))) (sin.f64 th)) (.f64 ky ky) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th))) (.f64 ky ky)))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (*.f64 ky ky)))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) (.f64 kx kx)) (.f64 (.f64 ky ky) (sin.f64 th)) (.f64 (.f64 kx kx) (sin.f64 th))) (*.f64 ky ky)))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (fma.f64 (fma.f64 (neg.f64 (.f64 ky ky)) (.f64 (.f64 (.f64 kx kx) (sin.f64 th)) #s(literal -1/15 binary64)) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) (sin.f64 th)))) (.f64 ky ky) (.f64 (.f64 kx kx) (sin.f64 th))) (*.f64 ky ky)))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (fma.f64 (fma.f64 (-.f64 (.f64 (neg.f64 (.f64 ky ky)) (fma.f64 #s(literal -1/315 binary64) (.f64 (.f64 kx kx) (sin.f64 th)) (fma.f64 #s(literal 2/135 binary64) (.f64 (.f64 kx kx) (sin.f64 th)) (.f64 (.f64 (.f64 (.f64 kx kx) (sin.f64 th)) #s(literal -1/15 binary64)) #s(literal 1/3 binary64))))) (.f64 (.f64 (.f64 kx kx) (sin.f64 th)) #s(literal -1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) (.f64 (.f64 kx kx) (sin.f64 th)))) (.f64 ky ky) (.f64 (.f64 kx kx) (sin.f64 th))) (*.f64 ky ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (*.f64 ky ky))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/3 binary64) #s(literal 1 binary64)) (*.f64 ky ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky))) #s(literal 1/2 binary64))
#s(approx (* 1/2 (cos (* 2 ky))) (+.f64 (neg.f64 (*.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (* 1/2 (cos (* 2 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 (* 2 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 (* 2 ky)) #s(literal 1 binary64))
#s(approx (cos (* 2 ky)) (fma.f64 #s(literal -2 binary64) (*.f64 ky ky) #s(literal 1 binary64)))
#s(approx (cos (* 2 ky)) (fma.f64 (-.f64 (.f64 (.f64 ky ky) #s(literal 2/3 binary64)) #s(literal 2 binary64)) (*.f64 ky ky) #s(literal 1 binary64)))
#s(approx (cos (* 2 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 (* 2 ky) (+.f64 ky ky))
#s(approx (sin ky) (sin.f64 ky))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 ky))) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 ky)) (cos.f64 (+.f64 ky ky)))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 ky))) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 ky)) (cos.f64 (+.f64 ky ky)))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (- 1/2 (* 1/2 (cos (* 2 ky)))) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))
#s(approx (* 1/2 (cos (* 2 ky))) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))
#s(approx (cos (* 2 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) (/.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (.f64 #s(literal 1 binary64) (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 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/120 binary64))) (.f64 th th) (.f64 (/.f64 (.f64 #s(literal 1 binary64) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (*.f64 #s(literal 1 binary64) (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 th th)
#s(approx (* (+ (* (* th th) -1/6) 1) th) th)
#s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
#s(approx (+ (* (* th th) -1/6) 1) (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)))
#s(approx (* th th) (*.f64 th th))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) th))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/6 binary64)) (.f64 th th))) th))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (.f64 (+.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/240 binary64) #s(literal 1/120 binary64)) (.f64 th th) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1/6 binary64)) (*.f64 th th))) #s(literal 1 binary64)) th))
#s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/240 binary64) #s(literal 1/120 binary64)) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1/10080 binary64) (.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/5040 binary64)) (.f64 th th))) (.f64 th th) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1/6 binary64)) (.f64 th th) (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) #s(literal 1 binary64)) th))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (/.f64 (.f64 (.f64 kx kx) th) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 kx th) (.f64 kx th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/6 binary64) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) th))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 (.f64 kx th) (.f64 kx th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal 1/120 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/6 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 th th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) th))
#s(approx (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2))) (.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/6 binary64) (.f64 (fma.f64 (/.f64 (.f64 (.f64 kx th) (.f64 kx th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/5040 binary64) (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 kx kx)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) (.f64 th th))) (.f64 th th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))) th))
#s(approx (* (* kx kx) (sin th)) (.f64 (.f64 kx kx) th))
#s(approx (* (* kx kx) (sin th)) (.f64 (fma.f64 (.f64 (.f64 kx th) (.f64 kx th)) #s(literal -1/6 binary64) (*.f64 kx kx)) th))
#s(approx (* (* kx kx) (sin th)) (.f64 (fma.f64 (.f64 th th) (fma.f64 (.f64 (.f64 kx th) (.f64 kx th)) #s(literal 1/120 binary64) (.f64 (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 kx kx)) th))
#s(approx (* (* kx kx) (sin th)) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx th) (.f64 kx th)) #s(literal -1/5040 binary64) (.f64 #s(literal 1/120 binary64) (.f64 kx kx))) (.f64 th th) (.f64 (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (*.f64 kx kx)) th))
#s(approx (sin th) (sin.f64 th))
#s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (*.f64 th th) th) #s(literal -1/6 binary64)))
#s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)) (.f64 (.f64 th th) th)))
#s(approx (+ (* (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64)))
#s(approx (+ (* (* th th) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th)))
#s(approx (* (+ (* (* th th) -1/6) 1) th) (neg.f64 (.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))) (.f64 (.f64 th th) th))))

eval58.0ms (0.7%)

Memory: 16.2MiB live, 107.8MiB allocated; 8ms collecting garbage
Compiler: Compiled 17 237 to 2 178 computations (87.4% saved)

prune183.0ms (2.3%)

Memory

-56.7MiB live, 118.9MiB allocated; 110ms collecting garbage

Pruning

72 alts after pruning (66 fresh and 6 done)

	Pruned	Kept	Total
New	404	28	432
Fresh	8	38	46
Picked	4	1	5
Done	0	5	5
Total	416	72	488

Accuracy

100.0%

Counts

488 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	34.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
	10.4%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))))
	16.9%	(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
	34.9%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	17.0%	(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))) #s(approx (sin th) th))
	63.5%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
✓	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	48.0%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
	63.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #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)))) (sin.f64 th))
✓	63.6%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
	63.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) #s(approx ( (+ (* -1/6 (* kx kx)) 1) kx) kx)))) (sin.f64 th))
	50.9%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
	35.9%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
	34.9%	(.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (sin.f64 th))
	17.0%	(.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) #s(approx (sin th) th))
	73.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (+.f64 (-.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 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	73.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (/.f64 (-.f64 #s(literal 1/4 binary64) (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))))))) (sin.f64 th))
	73.9%	(.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 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.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))))))))) (sin.f64 th))
	20.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky)))))) (sin.f64 th))
	28.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th))
	21.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
	17.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (/.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)))))))) #s(approx (sin th) th))
	13.1%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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)))))) (sin.f64 th))
	13.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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)))))) (sin.f64 th))
✓	35.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	27.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
	7.6%	(.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) (sin.f64 (fma.f64 #s(literal 2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th))
	7.5%	(.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) (sin.f64 (fma.f64 #s(literal -2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th))
	13.4%	(.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 kx kx))))))) #s(approx (sin th) th))
	4.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 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 (sin th) th))
	12.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( (cos (+ ky ky)) 1/2)) (*.f64 ky ky))))) (sin.f64 th))
	7.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 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 (sin th) th))
	7.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky))))) #s(approx (sin th) th))
	7.4%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	20.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 #s(approx ( (+ (* (* kx kx) -1/3) 1) kx) kx) kx))))) (sin.f64 th))
	11.7%	(.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
	33.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	2.8%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) th))
	11.4%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	11.5%	(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	31.2%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	73.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (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)) (sin.f64 ky))) (sin.f64 th))
	47.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (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)))
	64.0%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin kx)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
	50.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 ky))) (sin.f64 th))
	34.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
✓	33.7%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
	31.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) #s(approx (sin ky) ky))) (sin.f64 th))
	73.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 ky))) (sin.f64 th))
	11.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) #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(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
	13.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (* (* kx kx) (sin th)) (.f64 (fma.f64 (.f64 (.f64 kx th) (.f64 kx th)) #s(literal -1/6 binary64) (.f64 kx kx)) th)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
	16.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (* (* kx kx) (sin th)) (.f64 (.f64 kx kx) th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
	23.9%	#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) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
	94.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
	43.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
✓	34.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	3.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))))
	10.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) th)))
	18.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 (*.f64 th th) #s(literal -1/6 binary64))))))
	18.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin 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)))
	18.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	18.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 th (.f64 th #s(literal -1/6 binary64)) #s(literal 1 binary64)) th)))
	8.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th))) th)))
	10.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th)))
	7.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)) (.f64 (.f64 th th) th)))))
	10.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (*.f64 th th) th) #s(literal -1/6 binary64)))))
✓	18.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))
	38.5%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky))))
	28.5%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
	34.3%	#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))))

Compiler

Compiled 6 056 to 2 328 computations (61.6% saved)

regimes277.0ms (3.5%)

Memory

8.7MiB live, 578.6MiB allocated; 54ms collecting garbage

Counts

113 → 1

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (*.f64 th th) th) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 th (.f64 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)) #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 (*.f64 th th) #s(literal -1/6 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)) (.f64 (.f64 th th) th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)) (*.f64 th th))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (exp.f64 (.f64 (log.f64 th) #s(literal 2 binary64))) #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)) #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 ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky))))) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th)) (.f64 ky ky))))
(.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* -1/2 (/ (* (* kx kx) (sin th)) (- 1/2 (* (cos (+ ky ky)) 1/2)))) (sin th)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #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)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 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 (sin th) 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)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 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 (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky)) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) #s(approx (sin 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) #s(approx ( 1/2 (cos (* 2 ky))) #s(literal 1/2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( (cos (+ ky ky)) 1/2) #s(literal 1/2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 #s(approx ( (+ (* (* kx kx) -1/3) 1) kx) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( (cos (+ ky ky)) 1/2)) (*.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 kx kx))))))) #s(approx (sin th) th))
(/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(.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))))))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))))
(.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) (sin.f64 (fma.f64 #s(literal -2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) 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) (sin.f64 (fma.f64 #s(literal 2 binary64) ky (/.f64 (PI.f64) #s(literal 2 binary64))))))))) #s(approx (sin th) th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (* (* kx kx) (sin th)) (.f64 (.f64 kx kx) th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (/.f64 (.f64 kx 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) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (/.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)))))))) #s(approx (sin th) th))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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))))))) #s(approx (sin th) th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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) #s(approx (- 1/2 ( 1/2 (cos (* 2 ky)))) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ ( (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 #s(approx ( (+ (* (* kx kx) -1/3) 1) kx) (.f64 (.f64 (.f64 kx kx) kx) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 kx kx)) #s(literal 1/3 binary64)))) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( 1/2 (cos (* 2 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)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (- 1/2 ( (cos (+ ky ky)) 1/2)) (.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)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) #s(approx ( 1/2 (cos (* 2 ky))) (fma.f64 (-.f64 (.f64 (fma.f64 (.f64 ky ky) #s(literal -2/45 binary64) #s(literal 1/3 binary64)) (.f64 ky ky)) #s(literal 1 binary64)) (.f64 ky ky) #s(literal 1/2 binary64))))))) (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) #s(approx ( (cos (+ ky ky)) 1/2) (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))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 #s(approx (* (* kx kx) (sin th)) (.f64 (fma.f64 (.f64 (.f64 kx th) (.f64 kx th)) #s(literal -1/6 binary64) (.f64 kx kx)) th)) (-.f64 #s(literal 1/2 binary64) (.f64 (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))) (sin.f64 kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (exp.f64 (.f64 (log.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx)))) #s(literal 1/2 binary64)))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 ky))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) #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(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))))))
(.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) kx))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) #s(approx ( (+ (* -1/6 (* kx kx)) 1) kx) kx)))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 kx kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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))))))))) (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 (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 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.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)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) ky))) (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (.f64 kx kx) (sin.f64 th)) (-.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (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) (sin.f64 (+.f64 (neg.f64 (+.f64 ky ky)) (/.f64 (PI.f64) #s(literal 2 binary64))))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky)))))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #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)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin kx)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #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)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (fma.f64 (fma.f64 (-.f64 (.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)))))))) (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 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (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 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (+.f64 (-.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 kx kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sqrt.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))) (sin.f64 ky))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 kx kx))))))) (sin.f64 ky))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (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)) (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (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 (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 (-.f64 #s(literal 1/4 binary64) (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))))))) (sin.f64 th))
#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) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))) (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 (-.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 (cos.f64 (+.f64 kx kx)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.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))))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64))))))) (sin.f64 th))

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

Calls

9 calls:

35.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
33.0ms	ky
31.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
31.0ms	th
30.0ms	(sin.f64 ky)

Results

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

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes283.0ms (3.6%)

Memory

3.2MiB live, 478.1MiB allocated; 69ms collecting garbage

Counts

96 → 5

Calls

Call 1

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

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

Calls

9 calls:

35.0ms	kx
31.0ms	ky
28.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
28.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
27.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
78.4%	3	`(sin.f64 th)`
81.5%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
81.8%	3	`(sin.f64 ky)`
87.7%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
83.6%	3	`kx`
81.8%	2	`ky`
81.5%	3	`(sin.f64 kx)`
74.1%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
78.4%	2	`th`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes31.0ms (0.4%)

Memory

-4.7MiB live, 43.5MiB allocated; 1ms collecting garbage

Counts

92 → 5

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

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

Results

Accuracy	Segments	Branch
87.6%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes26.0ms (0.3%)

Memory

38.6MiB live, 38.6MiB allocated; 0ms collecting garbage

Counts

90 → 5

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

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

Results

Accuracy	Segments	Branch
87.6%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes65.0ms (0.8%)

Memory

-3.2MiB live, 42.7MiB allocated; 3ms collecting garbage

Counts

87 → 5

Calls

Call 1

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

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

Calls

1 calls:

60.0ms

(/.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
87.5%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes26.0ms (0.3%)

Memory

-9.3MiB live, 36.9MiB allocated; 2ms collecting garbage

Counts

84 → 5

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

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

Results

Accuracy	Segments	Branch
87.5%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes27.0ms (0.3%)

Memory

-14.4MiB live, 34.8MiB allocated; 4ms collecting garbage

Counts

77 → 5

Calls

Call 1

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

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

Calls

1 calls:

22.0ms

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

Results

Accuracy	Segments	Branch
87.5%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes70.0ms (0.9%)

Memory

38.7MiB live, 85.1MiB allocated; 2ms collecting garbage

Counts

72 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

30.0ms	kx
18.0ms	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)))))

Results

Accuracy	Segments	Branch
81.2%	2	`ky`
81.6%	2	`kx`
81.5%	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 17 computations (-13.3% saved)

regimes83.0ms (1.1%)

Memory

-5.5MiB live, 87.6MiB allocated; 4ms collecting garbage

Counts

70 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

24.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
18.0ms	kx
18.0ms	ky

Results

Accuracy	Segments	Branch
81.2%	2	`ky`
61.3%	4	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
59.7%	3	`kx`

Compiler

Compiled 6 to 12 computations (-100% saved)

regimes236.0ms (3%)

Memory

-5.1MiB live, 313.5MiB allocated; 91ms collecting garbage

Counts

69 → 4

Calls

Call 1

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

Calls

7 calls:

58.0ms	ky
42.0ms	(/.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)))))
38.0ms	(sin.f64 ky)
28.0ms	(sin.f64 kx)
26.0ms	th

Results

Accuracy	Segments	Branch
61.9%	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))`
53.8%	3	`(sin.f64 th)`
75.3%	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)))))`
52.8%	2	`th`
61.3%	4	`(sin.f64 kx)`
71.8%	5	`(sin.f64 ky)`
72.9%	5	`ky`

Compiler

Compiled 37 to 42 computations (-13.5% saved)

regimes63.0ms (0.8%)

Memory

-13.2MiB live, 129.6MiB allocated; 16ms collecting garbage

Counts

65 → 4

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	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 ky)

Results

Accuracy	Segments	Branch
63.8%	5	`(sin.f64 ky)`
58.3%	4	`ky`
67.7%	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 16 to 18 computations (-12.5% saved)

regimes17.0ms (0.2%)

Memory

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

Counts

56 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
67.2%	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 13 to 11 computations (15.4% saved)

regimes16.0ms (0.2%)

Memory

-17.2MiB live, 29.3MiB allocated; 2ms collecting garbage

Counts

49 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

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

Results

Accuracy	Segments	Branch
64.2%	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 13 to 11 computations (15.4% saved)

regimes14.0ms (0.2%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

44 → 3

Calls

Call 1

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

Outputs

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

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

#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (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
64.1%	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 13 to 11 computations (15.4% saved)

regimes14.0ms (0.2%)

Memory

-20.4MiB live, 26.1MiB allocated; 2ms collecting garbage

Counts

42 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

12.0ms

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

Results

Accuracy	Segments	Branch
64.1%	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 13 to 11 computations (15.4% saved)

regimes21.0ms (0.3%)

Memory

-14.2MiB live, 35.2MiB allocated; 5ms collecting garbage

Counts

31 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

11.0ms	(sin.f64 ky)
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
53.1%	2	`(sin.f64 ky)`
58.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes26.0ms (0.3%)

Memory

1.4MiB live, 48.2MiB allocated; 2ms collecting garbage

Counts

21 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

7.0ms	kx
6.0ms	(sin.f64 kx)
6.0ms	(/.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)))))
6.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
48.5%	2	`kx`
48.5%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
48.7%	3	`(sin.f64 kx)`
56.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 20 to 24 computations (-20% saved)

regimes54.0ms (0.7%)

Memory

8.8MiB live, 102.6MiB allocated; 3ms collecting garbage

Counts

20 → 3

Calls

Call 1

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

Outputs

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

(*.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (*.f64 (*.f64 (fma.f64 (*.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))

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

Calls

9 calls:

7.0ms	(sin.f64 ky)
6.0ms	th
6.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
6.0ms	kx
6.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
40.1%	4	`(sin.f64 kx)`
39.9%	3	`kx`
39.9%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
34.5%	1	`(sin.f64 th)`
34.5%	1	`th`
41.1%	3	`(sin.f64 ky)`
39.7%	2	`ky`
40.7%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
44.5%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

13 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 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
40.5%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes56.0ms (0.7%)

Memory

19.3MiB live, 66.9MiB allocated; 39ms collecting garbage

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

29.0ms	(*.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
3.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
3.0ms	(sin.f64 ky)
3.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
20.4%	2	`(sin.f64 th)`
18.8%	1	`th`
23.4%	3	`(sin.f64 kx)`
23.3%	2	`kx`
23.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
25.8%	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))`
21.8%	2	`(sin.f64 ky)`
21.7%	2	`ky`
25.0%	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 42 to 51 computations (-21.4% saved)

regimes12.0ms (0.2%)

Memory

-24.4MiB live, 24.5MiB allocated; 5ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

8 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)))))
1.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
1.0ms	(sin.f64 th)
1.0ms	(sin.f64 ky)
1.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
18.8%	1	`(sin.f64 th)`
18.8%	1	`ky`
18.8%	1	`(sin.f64 kx)`
18.8%	1	`(sin.f64 ky)`
18.8%	1	`kx`
18.8%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
18.8%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
18.8%	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))`

Compiler

Compiled 41 to 48 computations (-17.1% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9986431092023943	0.999999999907807
0.0ms	0.33642455172527347	0.4589022532789057
0.0ms	-0.08463261995504416	4.4997923334547055e-301
0.0ms	-0.9916184225301578	-0.9846797143422269

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9986431092023943	0.999999999907807
0.0ms	0.33642455172527347	0.4589022532789057
0.0ms	-0.08463261995504416	4.4997923334547055e-301
0.0ms	-0.9916184225301578	-0.9846797143422269

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9986431092023943	0.999999999907807
0.0ms	0.33642455172527347	0.4589022532789057
0.0ms	-0.08463261995504416	4.4997923334547055e-301
0.0ms	-0.9916184225301578	-0.9846797143422269

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9986431092023943	0.999999999907807
0.0ms	0.33642455172527347	0.4589022532789057
0.0ms	-0.08463261995504416	4.4997923334547055e-301
0.0ms	-0.9916184225301578	-0.9846797143422269

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.2MiB live, 2.3MiB allocated; 0ms collecting garbage

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9986431092023943	0.999999999907807
0.0ms	0.33642455172527347	0.4589022532789057
0.0ms	-0.08463261995504416	4.4997923334547055e-301
0.0ms	-0.9916184225301578	-0.9846797143422269

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9986431092023943	0.999999999907807
0.0ms	0.33642455172527347	0.4589022532789057
0.0ms	-0.08463261995504416	4.4997923334547055e-301
0.0ms	-0.9916184225301578	-0.9846797143422269

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch26.0ms (0.3%)

Memory

-5.3MiB live, 41.1MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	0.01926573003409046	6.755911767204622

Samples

18.0ms

128×

valid

Compiler

Compiled 323 to 274 computations (15.2% saved)

Precisions

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

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

ival-pow2: 2.0ms (14.1% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

bsearch25.0ms (0.3%)

Memory

-7.6MiB live, 38.5MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.3487880939104175e-6	0.060755970165695845

Samples

17.0ms

128×

valid

Compiler

Compiled 323 to 282 computations (12.7% saved)

Precisions

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

ival-sin: 6.0ms (49.6% of total)

ival-pow2: 2.0ms (16.5% of total)

ival-div: 1.0ms (8.3% of total)

ival-add: 1.0ms (8.3% of total)

ival-mult: 1.0ms (8.3% of total)

ival-sqrt: 1.0ms (8.3% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	-0.3821699272312597	-0.37687677433263206

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	-0.6205988693223973	-0.5938440587196803

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	1.0	+inf
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	-0.08463261995504416	4.4997923334547055e-301

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	-0.08463261995504416	4.4997923334547055e-301

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	-0.08463261995504416	4.4997923334547055e-301

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	-0.08463261995504416	4.4997923334547055e-301

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005263678519252262	0.1425998063178164

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005263678519252262	0.1425998063178164

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.005263678519252262	0.1425998063178164
0.0ms	5.072842523409738e-171	2.6234178984647398e-166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.879959506785043e-25	4.33958493990518e-19

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.385399863160407e-300	2.1278347487274945e-299

Compiler

Compiled 19 to 19 computations (0% saved)

simplify65.0ms (0.8%)

Memory

5.1MiB live, 53.8MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2149
1	282	2149
2	503	2149
3	1215	2141
4	4488	2141

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #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)))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (if (<=.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(literal 3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))))))
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (sin kx)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx))) (sin.f64 ky))) (sin.f64 ky))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (if (<=.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(literal 3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))))))
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (if (<=.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(literal 3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))))))
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (if (<=.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(literal 3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (+.f64 (cos.f64 (+.f64 kx kx)) (cos.f64 (+.f64 ky ky))))))))) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))))))
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (if (<=.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(literal 3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 8998192055486251/9007199254740992 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))))))
(if (<=.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(literal -4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th)) (if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (if (<=.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(literal 3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 8998192055486251/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin th) th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (sin.f64 th))))))
(if (<=.f64 kx #s(literal 1224979098644775/18014398509481984 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) #s(approx (sin kx) kx))) (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 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)))
(if (<=.f64 ky #s(literal 3458764513820541/1152921504606846976 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) (sin.f64 kx))) (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 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)))
(if (<=.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(literal -3422735716801577/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (sin.f64 th)) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 2 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)))))
(if (<=.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(literal -5404319552844595/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)))))
(if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) (if (<=.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(literal 2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 #s(approx (sin ky) ky) #s(approx (sin kx) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx)))) (sin.f64 th)))))
(if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) th)) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))))
(if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (/.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)))))))) #s(approx (sin th) th)) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))))
(if (<=.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(literal -3602879701896397/72057594037927936 binary64)) (/.f64 (.f64 (sin.f64 ky) #s(approx (sin th) th)) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 ky ky)) #s(literal 1/2 binary64)))))) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))))
(if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))
(if (<=.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(literal 5764607523034235/576460752303423488 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 th) ky) (sin.f64 kx))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))
(if (<=.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(literal 5438853046443695/543885304644369509058138323509727874385503352552480689356230797517213245297512696564902402319594788524942673393916417039714897241756372213155348458256985448390483221335442656288489603072 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (.f64 th th) th) #s(literal -1/6 binary64))))) (if (<=.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(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) #s(approx (+ (* (+ (* -1/3 (* kx kx)) 1) (* kx kx)) (- 1/2 (* 1/2 (cos (* 2 ky))))) (.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/3 binary64) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))))
(if (<=.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(literal 5444517870735015/5444517870735015415413993718908291383296 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (.f64 th th) th) #s(literal -1/6 binary64))))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))
(if (<=.f64 (.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)) #s(literal 6032057205060441/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (.f64 th th) th) #s(literal -1/6 binary64))))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
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(if (<=.f64 (.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)) #s(literal 6032057205060441/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (.f64 th th) th) #s(literal -1/6 binary64))))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th)))
(if (<=.f64 (.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)) #s(literal 6032057205060441/1508014301265110212210531135789433919262563062937126445449153766240405586123431823342743394534566435927056356253600209291203385124994765794776479899441737755548338772926974008712671009764769795099197087276523896072521861519103442867235119310387667688286379400732806098106007386857498456032472308789536403591243235328 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(approx (sin th) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (.f64 (.f64 th th) th) #s(literal -1/6 binary64))))) #s(approx ( (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(approx (sin th) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th)) #s(approx (sin th) th))

derivations1.2s (15.6%)

Memory

-118.8MiB live, 692.9MiB allocated; 1.1s collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 191 to 214 computations (90.2% saved)

preprocess357.0ms (4.6%)

Memory

16.5MiB live, 437.8MiB allocated; 51ms collecting garbage

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 4 546 to 562 computations (87.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze199.0ms (2.5%)

sample2.0s (25.3%)

explain197.0ms (2.5%)

preprocess265.0ms (3.4%)

eval0.0ms (0%)

prune1.0ms (0%)

series45.0ms (0.6%)

rewrite314.0ms (4%)

eval26.0ms (0.3%)

prune73.0ms (0.9%)

series121.0ms (1.5%)

rewrite229.0ms (2.9%)

eval122.0ms (1.6%)

prune73.0ms (0.9%)

series50.0ms (0.6%)

rewrite258.0ms (3.3%)

eval113.0ms (1.4%)

prune68.0ms (0.9%)

series49.0ms (0.6%)

rewrite282.0ms (3.6%)

eval58.0ms (0.7%)

prune183.0ms (2.3%)

regimes277.0ms (3.5%)

regimes283.0ms (3.6%)

regimes31.0ms (0.4%)

regimes26.0ms (0.3%)

regimes65.0ms (0.8%)

regimes26.0ms (0.3%)

regimes27.0ms (0.3%)

regimes70.0ms (0.9%)

regimes83.0ms (1.1%)

regimes236.0ms (3%)

regimes63.0ms (0.8%)

regimes17.0ms (0.2%)

regimes16.0ms (0.2%)

regimes14.0ms (0.2%)

regimes14.0ms (0.2%)

regimes21.0ms (0.3%)

regimes26.0ms (0.3%)

regimes54.0ms (0.7%)

regimes5.0ms (0.1%)

regimes56.0ms (0.7%)

regimes12.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch26.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify65.0ms (0.8%)

derivations1.2s (15.6%)

preprocess357.0ms (4.6%)

end0.0ms (0%)

Profiling