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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze188.0ms (1.6%)

Memory

-20.0MiB live, 340.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample1.6s (14.1%)

Memory

70.8MiB live, 1 890.3MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 992.0ms

ival-sin: 618.0ms (62.3% of total)

ival-pow2: 150.0ms (15.1% of total)

ival-sqrt: 65.0ms (6.6% of total)

ival-div: 56.0ms (5.6% of total)

ival-mult: 53.0ms (5.3% of total)

ival-add: 39.0ms (3.9% of total)

ival-true: 7.0ms (0.7% of total)

ival-assert: 4.0ms (0.4% of total)

Bogosity

explain292.0ms (2.5%)

Memory

-50.1MiB live, 176.1MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
15	-	2	(1.6123248050070914e-158 -2.140424709825568e-264 -2.9219464755304866e-113)	`(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	13	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	67
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	48
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	13

Confusion

	Predicted +	Predicted -
+	13	2
-	0	241

Precision

1.0

Recall

0.8666666666666667

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	13	0	2
-	0	0	241

Precision?

1.0

Recall?

0.8666666666666667

Freqs

test

number	freq
0	243
1	13

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

154.0ms

512×

valid

Compiler

Compiled 218 to 56 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 121.0ms

ival-sin: 67.0ms (55.5% of total)

ival-pow2: 41.0ms (34% of total)

ival-div: 3.0ms (2.5% of total)

ival-mult: 3.0ms (2.5% of total)

ival-sqrt: 3.0ms (2.5% of total)

ival-add: 2.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

preprocess93.0ms (0.8%)

Memory

9.3MiB live, 47.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	153
1	101	147
2	211	147
3	383	147
4	845	147
5	1976	147
6	2541	147
7	2802	147
8	2914	147
9	2966	147
10	2981	147
11	2981	147
0	13	16
0	22	16
1	28	16
2	32	16
3	33	16
0	33	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

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 th)

(negabs ky)

Compiler

Compiled 16 to 13 computations (18.8% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	94.4%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify3.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 ky)
cost-diff	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)))))
cost-diff	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))
cost-diff	7424	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
0	22	66
1	28	66
2	32	66
3	33	66
0	33	51

Stop Event

1×	iter limit
1×	saturated
1×	iter 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))
(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(sin.f64 ky)
ky
(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#s(literal 2 binary64)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sin.f64 th)
th

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

localize79.0ms (0.7%)

Memory

24.5MiB live, 62.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
accuracy	0.2506637695368841	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	0.29591752930532605	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	3.384731532291253	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Samples

70.0ms

256×

valid

Compiler

Compiled 134 to 28 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 60.0ms

ival-sin: 49.0ms (81.4% of total)

ival-pow2: 5.0ms (8.3% of total)

ival-mult: 2.0ms (3.3% of total)

ival-sqrt: 2.0ms (3.3% of total)

ival-div: 1.0ms (1.7% of total)

ival-add: 1.0ms (1.7% of total)

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

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

exact: 0.0ms (0% of total)

series45.0ms (0.4%)

Memory

6.4MiB live, 44.3MiB allocated

Counts

6 → 45

Calls

Call 1

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

Outputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 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))))))
(+ 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))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(pow (sin kx) 2)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* 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))))
(* 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))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))

Calls

9 calls:

Time	Variable		Point	Expression
18.0ms	kx	@	inf	((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin ky) 2) (pow (sin kx) 2))
6.0ms	ky	@	0	((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin ky) 2) (pow (sin kx) 2))
5.0ms	th	@	-inf	((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin ky) 2) (pow (sin kx) 2))
3.0ms	kx	@	0	((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin ky) 2) (pow (sin kx) 2))
3.0ms	ky	@	inf	((sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (pow (sin ky) 2) (pow (sin kx) 2))

simplify231.0ms (2%)

Memory

-26.6MiB live, 126.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	1402
1	1011	1353
2	3865	1261
3	7812	1261
0	8115	1188

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 44

Calls

Call 1

Inputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 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))))))
(+ 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))))))
(pow kx 2)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(pow (sin kx) 2)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* 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))))
(* 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))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (sin ky) 2)
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))

Outputs
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(+ (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))))))
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 ky))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(+ (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)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (sin.f64 th))
(+ (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))))))))))))
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))))) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 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))))))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 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))))))
(fma.f64 (fma.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))) (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 binary64))
(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 kx kx))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx))
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(fma.f64 (pow.f64 kx #s(literal 4 binary64)) (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 kx kx) #s(literal 2/45 binary64)) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))
(pow (sin kx) 2)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))
(+ (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))))))
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (.f64 ky (/.f64 ky (sin.f64 kx))) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx))
(+ (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))))))
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (sin.f64 kx))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))
(/ (* ky (sin th)) (sin kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(* 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))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (.f64 (.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)))) (.f64 ky ky) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(* 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))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (sin.f64 kx) (sin.f64 th)) (fma.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1/12 binary64) (.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/5040 binary64) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 ky ky) (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (.f64 (.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th))))) (.f64 ky ky) (.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(fma.f64 (neg.f64 (pow.f64 ky #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx))) (/.f64 ky (sin.f64 kx)))
(* 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))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (+.f64 (fma.f64 (.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx))) (.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))
(* 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))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 (sin.f64 kx) (fma.f64 #s(literal -1/12 binary64) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 (+.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (-.f64 (/.f64 #s(literal -1/5040 binary64) (sin.f64 kx)) (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (+.f64 (fma.f64 (.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 #s(literal 1/120 binary64) (sin.f64 kx)))) (.f64 ky ky) (-.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (sin.f64 kx)))) (/.f64 ky (sin.f64 kx)))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 ky ky) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) #s(literal -1/3 binary64) (*.f64 ky ky))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(fma.f64 (pow.f64 ky #s(literal 4 binary64)) (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/315 binary64) #s(literal 2/45 binary64)) (.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 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)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))
(* 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))))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th th)) (.f64 (sin.f64 ky) (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) th)
(* 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))))))))))))
(.f64 (fma.f64 (pow.f64 th #s(literal 4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (fma.f64 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) (sin.f64 ky)))) th)

rewrite200.0ms (1.7%)

Memory

19.4MiB live, 171.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
0	22	49
1	62	49
2	344	49
3	2978	49
0	8260	34

Stop Event

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

Counts

6 → 299

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (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 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 2 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 ky) (sin.f64 kx)) #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 12 binary64))))) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (+.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))
(.f64 (pow.f64 (/.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 kx) #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1/2 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 ky) (sin.f64 kx)) #s(literal 2 binary64))))))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 12 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (pow.f64 (sin.f64 kx) #s(literal 8 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
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(pow.f64 (*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 ky))) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (/.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)))
(/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (neg.f64 (sin.f64 ky)) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(exp.f64 (-.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (log.f64 (sin.f64 ky)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (neg.f64 (log.f64 (sin.f64 ky)))))
(exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (neg.f64 (log.f64 (sin.f64 ky)))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))))
(exp.f64 (+.f64 (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (log.f64 (sin.f64 ky))))
(exp.f64 (fma.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (fma.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (neg.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))))
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))))
(exp.f64 (+.f64 (log.f64 (sin.f64 ky)) (*.f64 (log.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (-.f64 (log.f64 (sin.f64 ky)) (log.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky)))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (sin.f64 ky))))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sin.f64 ky)))
(sin.f64 ky)
(sqrt.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 ky)))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sin.f64 ky)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 ky) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 ky) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 ky)) (cos.f64 ky)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 kx)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 kx) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/8 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 3 binary64)))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx))))
(exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (cos.f64 kx) #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.f64 kx)) (cos.f64 kx)))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))

eval167.0ms (1.5%)

Memory: -9.9MiB live, 111.7MiB allocated
Compiler: Compiled 9 472 to 1 772 computations (81.3% saved)

prune35.0ms (0.3%)

Memory

9.7MiB live, 47.7MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	351	19	370
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	352	19	371

Accuracy

100.0%

Counts

371 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
▶	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	69.6%	(*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th))
	95.2%	(.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)))
▶	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	79.4%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))
	81.9%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	38.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	54.1%	(.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))
	29.5%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	99.6%	(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
	99.5%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	69.3%	(.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
	25.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
	25.5%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	93.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
▶	25.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
▶	45.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
▶	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))

Compiler

Compiled 792 to 600 computations (24.2% saved)

simplify74.0ms (0.6%)

Memory

-13.6MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 ky)
cost-diff	0	(*.f64 (sin.f64 ky) th)
cost-diff	0	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
cost-diff	0	(sin.f64 ky)
cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff	0	(sin.f64 th)
cost-diff	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff	0	(sin.f64 th)
cost-diff	0	(*.f64 (sin.f64 th) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
cost-diff	6400	(fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
cost-diff	0	(sin.f64 th)
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff	0	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
cost-diff	0	(sin.f64 th)
cost-diff	0	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	266
0	59	251
1	85	251
2	126	251
3	231	251
4	387	251
5	494	251
6	509	251
7	629	251
8	755	251
9	1095	251
10	1190	251
11	1198	251
12	1213	251
13	1222	251
14	1254	251
15	1269	251
16	1273	251
17	1274	251
0	1274	249

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize135.0ms (1.2%)

Memory

41.9MiB live, 153.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.29591752930532605	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	2.893212359407662	(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
accuracy	3.6348541549050744	(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
accuracy	31.319888231968083	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
accuracy	0.0078125	(sin.f64 ky)
accuracy	0.078125	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy	0.24609375	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy	0.3359375	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
accuracy	1.5203169586858192	(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy	3.817210673492571	(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
accuracy	4.830986651037531	(fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
accuracy	46.59103330069831	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
accuracy	0.0	(sin.f64 th)
accuracy	44.24692519517099	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
accuracy	0.0078125	(sin.f64 ky)
accuracy	0.078125	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy	0.139003759768442	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
accuracy	0.15625	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))

Samples

91.0ms

256×

valid

Compiler

Compiled 544 to 70 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-sin: 29.0ms (40.4% of total)

ival-pow2: 12.0ms (16.7% of total)

ival-mult: 11.0ms (15.3% of total)

ival-div: 8.0ms (11.1% of total)

ival-hypot: 4.0ms (5.6% of total)

ival-add: 3.0ms (4.2% of total)

ival-sqrt: 3.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series96.0ms (0.8%)

Memory

-26.6MiB live, 96.4MiB allocated

Counts

18 → 103

Calls

Call 1

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

Outputs
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (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 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(/ kx (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (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)))
(+ (* (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)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -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 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))
(/ (+ (* -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))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(/ kx (pow ky 2))
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (pow kx 2) (pow ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/ 1 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (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)))
(+ (* (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)))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(* th (sin ky))
(pow (sin ky) 2)
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* -1/2 (sin th))

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	th	@	inf	((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (/ kx (pow (sin ky) 2)) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (pow (sin ky) 2))
13.0ms	ky	@	0	((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (/ kx (pow (sin ky) 2)) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (pow (sin ky) 2))
11.0ms	th	@	0	((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (/ kx (pow (sin ky) 2)) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (pow (sin ky) 2))
6.0ms	kx	@	0	((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (/ kx (pow (sin ky) 2)) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (pow (sin ky) 2))
6.0ms	ky	@	inf	((/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (sin ky) th) (/ kx (pow (sin ky) 2)) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin th) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin ky)) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (pow (sin ky) 2))

simplify202.0ms (1.8%)

Memory

25.8MiB live, 299.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	637	3194
1	2058	3064
0	8011	2851

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 101

Calls

Call 1

Inputs
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (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 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(/ kx (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ 1 (sin ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(+ (* (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)))
(+ (* (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)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -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 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))
(/ (+ (* -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))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(/ kx (pow ky 2))
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (pow kx 2) (pow ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/ 1 (sin kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(+ (* (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)))
(+ (* (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)))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(* th (sin ky))
(pow (sin ky) 2)
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* -1/2 (sin th))

Outputs
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (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)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (sin.f64 th))
(+ (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))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)))) (.f64 kx kx) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (sin.f64 th))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 binary64))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(/ (sin th) (sin ky))
(/.f64 (sin.f64 th) (sin.f64 ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sin.f64 ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (sin.f64 ky)) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (.f64 kx kx) (/.f64 (sin.f64 th) (sin.f64 ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (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 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
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th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) th) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 kx kx) th)
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) th) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 kx kx) th)
(/ kx (pow (sin ky) 2))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/ (pow kx 2) (pow (sin ky) 2))
(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/ 1 (sin ky))
(/.f64 #s(literal 1 binary64) (sin.f64 ky))
(+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(+ (* (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)))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 ky)) (/.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)))
(+ (* (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)))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(.f64 (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 th) kx) kx)) (.f64 kx kx))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/ (* ky (sin th)) (sin kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 (fma.f64 (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx))) ky)
(* 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))))
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(* 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))))
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(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (.f64 ky ky) (sin.f64 kx)) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 (+.f64 (fma.f64 #s(literal 31/15120 binary64) (sin.f64 kx) (/.f64 #s(literal 7/720 binary64) (sin.f64 kx))) (fma.f64 (-.f64 (/.f64 #s(literal 2/45 binary64) (sin.f64 kx)) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/12 binary64) #s(literal -1/36 binary64)) (sin.f64 kx)))) (.f64 ky ky) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx))))) (.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 kx)) ky)
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))
(+ (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))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx)) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (-.f64 (/.f64 #s(literal 2/45 binary64) (sin.f64 kx)) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))
(/ (+ (* -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))
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(/ (+ (* -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))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/45 binary64) (.f64 (sin.f64 th) (.f64 (.f64 kx kx) #s(literal 11/945 binary64)))) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/30 binary64))) (.f64 ky ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th))) (.f64 ky ky))) (.f64 ky ky))
(/ (sin th) (sin kx))
(/.f64 (sin.f64 th) (sin.f64 kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(fma.f64 (.f64 (.f64 ky ky) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(fma.f64 (fma.f64 (.f64 (.f64 ky ky) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (sin.f64 kx)) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 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))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 ky ky) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)))) (.f64 ky ky) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 ky ky) (/.f64 (sin.f64 th) (sin.f64 kx)))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 ky ky) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)
(/ (* ky th) (sin kx))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(.f64 (fma.f64 (.f64 (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (*.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64))) ky) ky (/.f64 th (sin.f64 kx))) ky)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
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(* ky th)
(*.f64 ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) th) ky)
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(.f64 (fma.f64 (.f64 th (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 ky ky) th) ky)
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 th (fma.f64 #s(literal -1/5040 binary64) (.f64 ky ky) #s(literal 1/120 binary64))) ky) ky (.f64 #s(literal -1/6 binary64) th)) (.f64 ky ky) th) ky)
(/ kx (pow ky 2))
(/.f64 kx (*.f64 ky ky))
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2))
(/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky)
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky))
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) ky) ky (.f64 kx #s(literal -1/15 binary64)))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky))
(/ (pow kx 2) (pow ky 2))
(.f64 kx (/.f64 kx (.f64 ky ky)))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 ky ky) kx) kx) #s(literal 1/3 binary64) (.f64 kx kx)) ky) ky)
(/ (+ (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
(/ (+ (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* -1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (neg.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) ky) ky (.f64 (.f64 kx kx) #s(literal -1/15 binary64)))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
(/ 1 (sin kx))
(/.f64 #s(literal 1 binary64) (sin.f64 kx))
(+ (* -1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(fma.f64 (*.f64 ky (/.f64 ky (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))
(+ (* (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)))
(fma.f64 (fma.f64 (.f64 (.f64 ky ky) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 kx)) (/.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)))
(+ (* (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)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 (.f64 #s(literal -1/2 binary64) (.f64 ky ky)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 kx)))) (.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)))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky) ky)
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 ky ky) #s(literal 2/45 binary64)) (.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) ky)
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 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)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky))) th)
(* 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))))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (.f64 th th) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) th)
(* 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))))))))))))
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(* th (+ 1 (* -1/6 (pow th 2))))
(.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/6 binary64)) (.f64 th th) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/120 binary64)) (.f64 th th) (fma.f64 #s(literal 1/12 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/5040 binary64)) (.f64 th th) (fma.f64 #s(literal -1/240 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 #s(literal 1/12 binary64) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) th)
(* -1/2 th)
(*.f64 #s(literal -1/2 binary64) th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(.f64 (fma.f64 (.f64 th th) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) th)
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th)
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 th th) #s(literal -1/240 binary64)) (.f64 th th) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th)
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th)
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64))) (.f64 th th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) th)
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64))))) th)
(* -1/2 (sin th))
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))

rewrite68.0ms (0.6%)

Memory

4.4MiB live, 43.0MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	202
0	59	172
1	205	168
0	1246	168

Stop Event

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

Counts

18 → 213

Calls

Call 1

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

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

eval168.0ms (1.5%)

Memory: -10.1MiB live, 116.3MiB allocated
Compiler: Compiled 14 059 to 1 658 computations (88.2% saved)

prune59.0ms (0.5%)

Memory

-1.4MiB live, 117.3MiB allocated

Pruning

53 alts after pruning (50 fresh and 3 done)

	Pruned	Kept	Total
New	354	39	393
Fresh	3	11	14
Picked	2	3	5
Done	0	0	0
Total	359	53	412

Accuracy

100.0%

Counts

412 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	42.4%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))
	29.5%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
	33.8%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
	26.8%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
	25.5%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
	99.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
	51.1%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
▶	51.0%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	69.6%	(*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	42.4%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
	43.9%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
	30.8%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
	29.5%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
	79.4%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))
	81.9%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	38.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	54.1%	(.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))
	29.5%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	51.0%	(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	50.9%	(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
▶	99.5%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	25.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
	25.5%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	93.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
▶	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
	27.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
	26.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
	12.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
	13.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th)))
	21.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
	46.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	50.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
	50.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
	46.8%	#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)))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64)))))))
	43.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
	18.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
	23.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
	16.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
✓	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	13.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
▶	14.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
	3.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
	3.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
	16.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
	16.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
	17.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
▶	16.8%	#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)))

Compiler

Compiled 3 171 to 2 129 computations (32.9% saved)

simplify153.0ms (1.3%)

Memory

-9.1MiB live, 104.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 th th)
cost-diff	0	(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
cost-diff	384	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
cost-diff	0	(*.f64 (sin.f64 th) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))
cost-diff	6912	(fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
cost-diff	0	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))
cost-diff	0	#s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky)))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
cost-diff	7040	(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky)))
cost-diff	0	(*.f64 th th)
cost-diff	0	(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
cost-diff	0	#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)))
cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
cost-diff	0	(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
cost-diff	0	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
cost-diff	448	(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	483
0	97	468
1	164	466
2	316	450
3	703	442
4	2151	436
5	3573	434
6	6051	434
0	8020	413

Stop Event

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

Calls

Call 1

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

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

localize255.0ms (2.2%)

Memory

13.5MiB live, 380.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.13596623016428752	(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	0.139003759768442	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
accuracy	0.15625	(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
accuracy	31.27391694725741	#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
accuracy	3.817210673492571	(/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))
accuracy	4.830986651037531	(fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
accuracy	12.97825191200341	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))
accuracy	46.59103330069831	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
accuracy	7.45716499196448	(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))
accuracy	9.399564283892696	#s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky)))
accuracy	28.955431742355998	(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))
accuracy	46.59103330069831	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
accuracy	0.05078125	(.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)
accuracy	0.13596623016428752	(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	31.27391694725741	#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
accuracy	44.24692519517099	#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)))
accuracy	0.078125	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
accuracy	0.14453125	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
accuracy	0.21484375	(/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
accuracy	0.34375	(*.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky)))

Samples

98.0ms	85×	1	valid
78.0ms	157×	0	valid
27.0ms	14×	2	valid

Compiler

Compiled 901 to 113 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 164.0ms

ival-mult: 52.0ms (31.8% of total)

ival-sin: 32.0ms (19.6% of total)

ival-cos: 20.0ms (12.2% of total)

ival-div: 14.0ms (8.6% of total)

adjust: 10.0ms (6.1% of total)

ival-add: 9.0ms (5.5% of total)

ival-pow2: 9.0ms (5.5% of total)

ival-hypot: 5.0ms (3.1% of total)

const: 5.0ms (3.1% of total)

ival-sub: 2.0ms (1.2% of total)

ival-sqrt: 2.0ms (1.2% of total)

ival-neg: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series116.0ms (1%)

Memory

-3.3MiB live, 111.6MiB allocated

Counts

21 → 120

Calls

Call 1

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

Outputs
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 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))))))
(+ 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))))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
(/ -1 (sin ky))
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(- (* (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)))
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 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 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(* (pow ky 2) (sin th))
(+ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (* (pow ky 2) (sin th)))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (* -1/6 (sin th)))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
(+ (* -1/6 (* (pow kx 2) (* (pow ky 2) (sin th)))) (* (pow ky 2) (sin th)))
(/ kx (- 1/2 (* 1/2 (cos (* 2 ky)))))
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th)))))
(* (pow kx 2) (+ (* -1/2 (sin th)) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2)))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(/ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (pow ky 2))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (+ (* -1/6 (sin th)) (/ (sin th) (pow kx 2)))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))
(* -1/6 (* (pow kx 2) (* (pow ky 2) (sin th))))
(* (pow kx 2) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* 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))))
(* 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))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
(/ -1 (sin kx))
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(- (* (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)))
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 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 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(* -1/2 (* (pow kx 2) (sin th)))
(+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -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 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))
(/ (+ (* -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))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(/ kx (pow ky 2))
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (pow ky 2) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(+ 1 (* -1/6 (pow th 2)))
(pow th 2)
(* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (pow kx 2)))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (+ (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/10080 (pow kx 2)))))))))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(/ (* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (* 1/12 (/ (pow kx 2) (pow ky 2))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (* 1/120 (+ 1 (* -1/6 (pow kx 2))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (+ (* 1/120 (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/5040 (+ 1 (* -1/6 (pow kx 2)))) (* 1/10080 (/ (pow kx 2) (pow ky 2))))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(* 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)))))
(* 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)))))
(* 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)))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* (pow ky 2) (* th (+ 1 (* -1/6 (pow kx 2)))))
(* th (+ (* -1/6 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2))))))))))
(* th (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2)))))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/2 (sin th))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
51.0ms	kx	@	0	((* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (+ (* (* th th) -1/6) 1) th) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky)) (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
14.0ms	th	@	inf	((* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (+ (* (* th th) -1/6) 1) th) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky)) (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
12.0ms	ky	@	0	((* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (+ (* (* th th) -1/6) 1) th) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky)) (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
7.0ms	kx	@	inf	((* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (+ (* (* th th) -1/6) 1) th) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky)) (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))
6.0ms	ky	@	inf	((* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (* (sin th) -1/2) (/ (sin th) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky))) (* (+ (* (* th th) -1/6) 1) th) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky)) (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))) (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)))

simplify244.0ms (2.1%)

Memory

-0.9MiB live, 268.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	675	3677
1	2237	3528
0	8400	3255

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 119

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 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))))))
(+ 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))))))
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
(/ -1 (sin ky))
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(- (* (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)))
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 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 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(* (pow ky 2) (sin th))
(+ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (* (pow ky 2) (sin th)))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (* -1/6 (sin th)))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
(+ (* -1/6 (* (pow kx 2) (* (pow ky 2) (sin th)))) (* (pow ky 2) (sin th)))
(/ kx (- 1/2 (* 1/2 (cos (* 2 ky)))))
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th)))))
(* (pow kx 2) (+ (* -1/2 (sin th)) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2)))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(/ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (pow ky 2))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (+ (* -1/6 (sin th)) (/ (sin th) (pow kx 2)))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))
(* -1/6 (* (pow kx 2) (* (pow ky 2) (sin th))))
(* (pow kx 2) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ ky (sin kx))
(* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))
(* 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))))
(* 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))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
(/ -1 (sin kx))
(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
(- (* (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)))
(- (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))) (* 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 (/ 1 (pow (sin kx) 3))))) (/ 1 (sin kx)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(* -1/2 (* (pow kx 2) (sin th)))
(+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -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 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))
(/ (+ (* -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))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(/ kx (pow ky 2))
(/ (+ kx (* 1/3 (* kx (pow ky 2)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (+ kx (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/315 kx) (+ (* 2/135 kx) (* 1/3 (+ (* -1/9 kx) (* 2/45 kx))))))) (+ (* -1/9 kx) (* 2/45 kx)))) (* -1/3 kx)))) (pow ky 2))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (pow ky 2) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(+ 1 (* -1/6 (pow th 2)))
(pow th 2)
(* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (pow kx 2)))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (+ (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/10080 (pow kx 2)))))))))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(/ (* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (* 1/12 (/ (pow kx 2) (pow ky 2))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (* 1/120 (+ 1 (* -1/6 (pow kx 2))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (+ (* 1/120 (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/5040 (+ 1 (* -1/6 (pow kx 2)))) (* 1/10080 (/ (pow kx 2) (pow ky 2))))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(* 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)))))
(* 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)))))
(* 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)))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* (pow ky 2) (* th (+ 1 (* -1/6 (pow kx 2)))))
(* th (+ (* -1/6 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2))))))))))
(* th (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2)))))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/2 (sin th))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal 1 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))))))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (*.f64 kx kx) #s(literal 1 binary64))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (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)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) (sin.f64 th))
(+ (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))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) (sin.f64 th))
(/ -1 (sin ky))
(/.f64 #s(literal -1 binary64) (sin.f64 ky))
(- (* 1/2 (/ (pow kx 2) (pow (sin ky) 3))) (/ 1 (sin ky)))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) kx) kx (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(- (* (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)))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 ky)) (/.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)))
(- (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (* (sin ky) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))) (* 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 (/ 1 (pow (sin ky) 3))))) (/ 1 (sin ky)))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 ky)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 ky)))) (.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)))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 ky)) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(* (pow ky 2) (sin th))
(.f64 (.f64 (sin.f64 th) ky) ky)
(+ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (* (pow ky 2) (sin th)))
(fma.f64 (.f64 (sin.f64 th) ky) ky (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (*.f64 kx kx)))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (* -1/6 (sin th)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (sin.f64 th) ky) (.f64 #s(literal -1/6 binary64) (sin.f64 th))) (.f64 kx kx) (sin.f64 th))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
(fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) (sin.f64 th))
(+ (* -1/6 (* (pow kx 2) (* (pow ky 2) (sin th)))) (* (pow ky 2) (sin th)))
(.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))
(/ kx (- 1/2 (* 1/2 (cos (* 2 ky)))))
(/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 binary64))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) #s(literal 1 binary64))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th)))))
(.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))
(* (pow kx 2) (+ (* -1/2 (sin th)) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2)))))
(.f64 (fma.f64 (/.f64 (.f64 ky ky) kx) (/.f64 (sin.f64 th) kx) (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64)))) (*.f64 kx kx))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(.f64 (fma.f64 (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 (sin.f64 th) (.f64 kx kx))) (*.f64 kx kx))
(/ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (pow ky 2))
(/.f64 (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx)) (*.f64 ky ky))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (+ (* -1/6 (sin th)) (/ (sin th) (pow kx 2)))))
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(* 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))))
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(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (.f64 ky ky) (sin.f64 kx)) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (sin.f64 kx)) #s(literal -1/12 binary64) (fma.f64 #s(literal 31/15120 binary64) (sin.f64 kx) (fma.f64 (/.f64 (-.f64 #s(literal 2/45 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 kx)) #s(literal 1/2 binary64) (/.f64 #s(literal 7/720 binary64) (sin.f64 kx))))) (.f64 ky ky) (fma.f64 #s(literal 7/360 binary64) (sin.f64 kx) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx))))) (.f64 ky ky) (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)))) (*.f64 ky ky) (sin.f64 kx)) ky)
(* (pow ky 2) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (sin.f64 th) ky) (.f64 #s(literal -1/6 binary64) (sin.f64 th))) (.f64 kx kx) (sin.f64 th)) (.f64 ky ky))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(fma.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) ky) (/.f64 (sin.f64 th) ky) (.f64 #s(literal -1/6 binary64) (sin.f64 th))) (.f64 kx kx) (sin.f64 th))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 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)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky))) th)
(* 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))))))))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 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))))))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky)) (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 (sin.f64 ky) th) th)))))) th)
th
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th)
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) th)
(+ 1 (* -1/6 (pow th 2)))
(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
(pow th 2)
(*.f64 th th)
(* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (*.f64 kx kx) #s(literal -1/2 binary64))) th)
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (pow kx 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 (.f64 #s(literal -1/240 binary64) kx) kx (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 ky ky))) (.f64 th th)))) (*.f64 th th)))) th)
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (+ (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/10080 (pow kx 2)))))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 (.f64 #s(literal -1/240 binary64) kx) kx (fma.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 ky ky) (.f64 (fma.f64 (.f64 #s(literal 1/10080 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/30240 binary64) (.f64 kx kx) #s(literal -1/5040 binary64)) (.f64 ky ky))) (.f64 th th)))) (.f64 th th)))) (.f64 th th)))) th)
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (.f64 th th) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (.f64 th th) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) (.f64 th th) (fma.f64 #s(literal -1/240 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 #s(literal 1/12 binary64) (/.f64 (.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th th)
(/ (* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky)))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (* 1/12 (/ (pow kx 2) (pow ky 2))))) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) th)
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (* 1/120 (+ 1 (* -1/6 (pow kx 2))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/240 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64)))) th)
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (+ (* 1/120 (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/5040 (+ 1 (* -1/6 (pow kx 2)))) (* 1/10080 (/ (pow kx 2) (pow ky 2))))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/240 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/10080 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/30240 binary64) (.f64 kx kx) #s(literal -1/5040 binary64))) (.f64 th th) (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)))) (.f64 th th) (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) th)
(* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)
(* 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)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/12 binary64) #s(literal -1/6 binary64)) (.f64 th th) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) th th)
(* 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)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal -1/240 binary64) #s(literal 1/120 binary64)) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) th)
(* 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)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/10080 binary64) #s(literal -1/5040 binary64)) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal -1/240 binary64) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) th)
(* -1/2 th)
(*.f64 #s(literal -1/2 binary64) th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(.f64 (fma.f64 (.f64 th th) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) th)
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th)
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 th th) #s(literal -1/240 binary64)) (.f64 th th) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)
(* (pow ky 2) (* th (+ 1 (* -1/6 (pow kx 2)))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) th) ky) ky)
(* th (+ (* -1/6 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2)))))) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) th) th) (.f64 ky ky))) th)
(* th (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 ky ky)) (.f64 th th) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th))) th)
(* th (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (* (pow th 2) (+ 1 (* -1/6 (pow kx 2)))))) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))
(.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 #s(literal 1/30240 binary64) (.f64 kx kx) #s(literal -1/5040 binary64)) (.f64 ky ky)) (.f64 th th) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 ky ky))) (.f64 th th) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th))) th)
(* -1/6 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/6 binary64))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) th) th)
(* -1/2 (sin th))
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
(* -1/6 (pow th 3))
(*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64)))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))) (pow.f64 th #s(literal 3 binary64)))

rewrite231.0ms (2%)

Memory

-18.1MiB live, 323.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	358
0	97	325
1	350	319
2	2235	311
0	9045	311

Stop Event

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

Counts

21 → 392

Calls

Call 1

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

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

eval128.0ms (1.1%)

Memory: 11.3MiB live, 205.5MiB allocated
Compiler: Compiled 25 397 to 2 612 computations (89.7% saved)

prune89.0ms (0.8%)

Memory

8.0MiB live, 207.9MiB allocated

Pruning

76 alts after pruning (71 fresh and 5 done)

	Pruned	Kept	Total
New	574	33	607
Fresh	7	38	45
Picked	3	2	5
Done	0	3	3
Total	584	76	660

Accuracy

100.0%

Counts

660 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
	47.0%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	42.4%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))
	29.5%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
	33.8%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
	26.8%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
	25.5%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
▶	99.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
	51.1%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓	51.0%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	40.8%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
	18.4%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
	21.4%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
	17.1%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
	16.4%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
	69.6%	(*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	42.4%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
	43.9%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
	30.8%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
	29.5%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
	79.4%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))
	81.9%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	38.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	54.1%	(.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))
	29.5%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	51.0%	(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	79.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	30.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	29.5%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	25.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
	25.5%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	93.8%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
	27.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
	26.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
	12.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
	13.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th)))
▶	12.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
	15.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
▶	46.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	50.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
	46.8%	#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)))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64)))))))
	43.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
	18.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
	23.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
	16.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
✓	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	6.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
	5.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
▶	3.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
	1.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
	18.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
	3.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
	13.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) th))))
	27.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
	7.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
	10.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
	2.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
	16.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
	17.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th)))
	16.8%	#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 #s(literal -1/6 binary64) (*.f64 th th))))))
	16.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
	17.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
✓	16.8%	#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)))
	16.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) th) th #s(literal 1 binary64)) th)))
	16.8%	#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)))
	16.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (+.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) th)))
	8.5%	#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 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) th) th)) th)))
▶	10.5%	#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)))
	5.4%	#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 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 th th)) #s(literal 1/6 binary64))))))
	10.5%	#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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
	23.0%	#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))

Compiler

Compiled 5 423 to 3 546 computations (34.6% saved)

simplify153.0ms (1.3%)

Memory

2.0MiB live, 205.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 ky)
cost-diff	0	(*.f64 (sin.f64 ky) th)
cost-diff	0	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
cost-diff	0	#s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th))
cost-diff	0	(fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
cost-diff	128	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))
cost-diff	0	#s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx))
cost-diff	0	(/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))
cost-diff	0	#s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky)))
cost-diff	0	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
cost-diff	0	#s(approx (+ (* (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64)))
cost-diff	0	(.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th)
cost-diff	0	#s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th))
cost-diff	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)))
cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
cost-diff	0	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
cost-diff	0	(sin.f64 ky)
cost-diff	384	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	582
0	108	562
1	183	562
2	314	548
3	620	548
4	1341	540
5	1778	540
6	2430	540
7	3152	540
8	3322	540
9	3733	540
10	4126	540
11	4602	540
12	6976	540
0	8401	521

Stop Event

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

Calls

Call 1

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

Outputs
(/.f64 (sin.f64 ky) (/.f64 (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))))
(sin.f64 ky)
ky
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx
(sin.f64 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 th th) #s(literal -1/6 binary64))) th)))
#s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th))
(.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th)
#s(approx (+ (* (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64)))
(.f64 (.f64 th th) #s(literal -1/6 binary64))
(*.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/2 binary64))) (.f64 ky ky))))
#s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky)))
#s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/2 binary64))) (.f64 ky ky)))
(/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))
(/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/2 binary64))) (.f64 ky ky))
#s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx))
#s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (*.f64 (sin.f64 th) kx) kx) #s(literal -1/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)
(.f64 (.f64 (*.f64 (sin.f64 th) kx) kx) #s(literal -1/2 binary64))
(.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx)
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
#s(literal -1/2 binary64)
(sin.f64 th)
th
kx
(*.f64 ky ky)
ky
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (/.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 th th) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 kx kx) (sin.f64 th)))
(fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
(fma.f64 (/.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 th th) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 kx kx) (sin.f64 th))
#s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th))
#s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 th th) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th))
(.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th)
(.f64 (fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 th th) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th)
(fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64))
(fma.f64 (fma.f64 #s(literal -1/240 binary64) (.f64 th th) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64))
(fma.f64 (*.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64))
(fma.f64 #s(literal -1/240 binary64) (*.f64 th th) #s(literal 1/12 binary64))
(*.f64 th th)
th
#s(literal -1/240 binary64)
#s(literal 1/12 binary64)
#s(literal -1/2 binary64)
(.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))))
(/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
kx
(/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))
(/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
ky
(sin.f64 th)
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(*.f64 (sin.f64 ky) th)
(*.f64 th (sin.f64 ky))
(sin.f64 ky)
ky
th
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin.f64 kx)
kx

localize278.0ms (2.4%)

Memory

7.7MiB live, 399.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.078125	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
accuracy	0.140625	(*.f64 (sin.f64 ky) th)
accuracy	2.8268061094076624	(/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
accuracy	31.319888231968083	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
accuracy	4.830986651037531	(fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th))
accuracy	12.97825191200341	(-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))
accuracy	31.29182047798421	#s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th))
accuracy	46.59103330069831	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
accuracy	9.399564283892696	#s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky)))
accuracy	28.955431742355998	(/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))
accuracy	33.57752345397953	#s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx))
accuracy	46.59103330069831	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
accuracy	0.21875	(.f64 (.f64 th th) #s(literal -1/6 binary64))
accuracy	31.27391694725741	#s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th))
accuracy	32.02112088164308	#s(approx (+ (* (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64)))
accuracy	44.24692519517099	#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)))
accuracy	0.0078125	(sin.f64 ky)
accuracy	0.078125	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
accuracy	0.22332001953688402	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
accuracy	0.27962875976844204	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))

Samples

88.0ms	85×	1	valid
83.0ms	157×	0	valid
38.0ms	14×	2	valid

Compiler

Compiled 978 to 135 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 50.0ms (28.3% of total)

ival-sin: 31.0ms (17.6% of total)

ival-add: 25.0ms (14.2% of total)

ival-cos: 19.0ms (10.8% of total)

ival-div: 15.0ms (8.5% of total)

const: 12.0ms (6.8% of total)

adjust: 8.0ms (4.5% of total)

ival-pow2: 6.0ms (3.4% of total)

ival-hypot: 5.0ms (2.8% of total)

ival-sub: 2.0ms (1.1% of total)

ival-sqrt: 2.0ms (1.1% of total)

exact: 1.0ms (0.6% of total)

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

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

series90.0ms (0.8%)

Memory

2.8MiB live, 81.1MiB allocated

Counts

20 → 111

Calls

Call 1

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

Outputs
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
(/ (sin ky) (sin th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (* -1/6 (sin th)))))
(* (pow ky 2) (sin th))
(+ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (* (pow ky 2) (sin th)))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(/ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (pow ky 2))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (+ (* -1/6 (sin th)) (/ (sin th) (pow kx 2)))))
(* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th)))))
(* (pow kx 2) (+ (* -1/2 (sin th)) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2)))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(/ (sin kx) (sin th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -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 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))
(/ (+ (* -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))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* -1/2 (* (pow kx 2) (sin th)))
(+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* (pow ky 2) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(* th (sin ky))
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow th 2)))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(/ (* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (* 1/12 (/ (pow kx 2) (pow ky 2))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (* 1/120 (+ 1 (* -1/6 (pow kx 2))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (+ (* 1/120 (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/5040 (+ 1 (* -1/6 (pow kx 2)))) (* 1/10080 (/ (pow kx 2) (pow ky 2))))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (pow kx 2)))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (+ (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/10080 (pow kx 2)))))))))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(* 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)))))
(* 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)))))
(* 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)))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/2 (sin th))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	ky	@	-inf	((/ (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))) (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (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) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (* (sin th) -1/2) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin ky) th) (* (* th th) -1/6))
23.0ms	kx	@	0	((/ (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))) (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (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) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (* (sin th) -1/2) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin ky) th) (* (* th th) -1/6))
6.0ms	th	@	-inf	((/ (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))) (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (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) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (* (sin th) -1/2) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin ky) th) (* (* th th) -1/6))
6.0ms	th	@	inf	((/ (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))) (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (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) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (* (sin th) -1/2) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin ky) th) (* (* th th) -1/6))
5.0ms	kx	@	inf	((/ (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))) (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th)) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (* (/ (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) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (- 1/2 (* (cos (* 2 ky)) 1/2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (* (sin th) -1/2) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (* (sin ky) th) (* (* th th) -1/6))

simplify293.0ms (2.5%)

Memory

0.6MiB live, 241.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	641	3338
1	2113	3177
2	7892	3171
0	8891	2873

Stop Event

1×	iter limit
1×	node limit

Counts

111 → 109

Calls

Call 1

Inputs
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (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)))))))))))
(+ (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))))))))))))
(/ (sin ky) (sin th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (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))))))
(+ (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))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (* -1/6 (sin th)))))
(* (pow ky 2) (sin th))
(+ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (* (pow ky 2) (sin th)))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(/ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (pow ky 2))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (+ (* -1/6 (sin th)) (/ (sin th) (pow kx 2)))))
(* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th)))))
(* (pow kx 2) (+ (* -1/2 (sin th)) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2)))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* 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))))
(* 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))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(/ (sin kx) (sin th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (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))))))
(+ (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))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -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 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))
(/ (+ (* -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))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* -1/2 (* (pow kx 2) (sin th)))
(+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* ky th)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(* (pow ky 2) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(* th (sin ky))
(* 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)))))))
(* 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))))))))))
(* 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))))))))))))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
1
(+ 1 (* -1/6 (pow th 2)))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(/ (* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (* 1/12 (/ (pow kx 2) (pow ky 2))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (* 1/120 (+ 1 (* -1/6 (pow kx 2))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (+ (* 1/120 (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/5040 (+ 1 (* -1/6 (pow kx 2)))) (* 1/10080 (/ (pow kx 2) (pow ky 2))))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (pow kx 2)))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))))
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (+ (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/10080 (pow kx 2)))))))))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(* 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)))))
(* 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)))))
(* 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)))))
(* -1/2 th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* -1/2 (sin th))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))

Outputs
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th))
(+ (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)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (.f64 (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (sin.f64 th))
(+ (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))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sin.f64 th)) (.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (sin.f64 th))
(/ (sin ky) (sin th))
(/.f64 (sin.f64 ky) (sin.f64 th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(fma.f64 (/.f64 (*.f64 kx kx) (sin.f64 th)) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 th)) (.f64 kx (/.f64 kx (sin.f64 ky))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 ky))) (.f64 kx kx) (/.f64 (sin.f64 ky) (sin.f64 th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (.f64 (/.f64 kx (sin.f64 th)) (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky)))) (.f64 kx kx) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 ky))) (*.f64 kx kx) (/.f64 (sin.f64 ky) (sin.f64 th)))
(sin ky)
(sin.f64 ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky)) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (.f64 kx (/.f64 kx (sin.f64 ky)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 ky))) (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 ky))) (.f64 kx kx) (sin.f64 ky))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (* -1/6 (sin th)))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 th) ky) (/.f64 #s(literal -1/2 binary64) ky) (.f64 #s(literal -1/6 binary64) (sin.f64 th))) (.f64 kx kx) (sin.f64 th))
(* (pow ky 2) (sin th))
(.f64 (.f64 (sin.f64 th) ky) ky)
(+ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (* (pow ky 2) (sin th)))
(fma.f64 (.f64 (sin.f64 th) ky) ky (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 kx kx)))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky)))))))
(fma.f64 (/.f64 (.f64 (.f64 (sin.f64 th) kx) kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (sin.f64 th))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) th) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 kx kx) th)
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (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 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 (.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) th) (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 kx kx) (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64))) (.f64 kx kx) th)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 th) (sin.f64 ky)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(.f64 (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (/.f64 (sin.f64 th) kx) kx)) (.f64 kx kx))
(/ (* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th))))) (pow ky 2))
(/.f64 (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx)) (*.f64 ky ky))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow ky 2))) (+ (* -1/6 (sin th)) (/ (sin th) (pow kx 2)))))
(.f64 (fma.f64 (/.f64 (sin.f64 th) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 #s(literal -1/6 binary64) (sin.f64 th) (/.f64 (/.f64 (sin.f64 th) kx) kx))) (.f64 kx kx))
(* (pow kx 2) (+ (* -1/2 (sin th)) (* -1/6 (* (pow ky 2) (sin th)))))
(.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))
(* (pow kx 2) (+ (* -1/2 (sin th)) (+ (* -1/6 (* (pow ky 2) (sin th))) (/ (* (pow ky 2) (sin th)) (pow kx 2)))))
(.f64 (fma.f64 (/.f64 (.f64 (sin.f64 th) ky) kx) (/.f64 ky kx) (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64)))) (*.f64 kx kx))
(* -1/2 (/ (* (pow kx 2) (sin th)) (- 1/2 (* 1/2 (cos (* 2 ky))))))
(/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (- 1/2 (* 1/2 (cos (* 2 ky)))))) (/ (sin th) (pow kx 2))))
(.f64 (fma.f64 (/.f64 (sin.f64 th) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) (/.f64 (/.f64 (sin.f64 th) kx) kx)) (*.f64 kx kx))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (* ky (sin th)) (sin kx))
(*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(* 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))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/12 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (/.f64 (.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)))) (.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(* 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))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/120 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))) (sin.f64 th) (fma.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (sin.f64 th) (fma.f64 #s(literal -1/5040 binary64) (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 (sin.f64 th) #s(literal -1/240 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sin.f64 th)) (/.f64 (.f64 (sin.f64 th) #s(literal 1/12 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (.f64 ky ky) (fma.f64 (sin.f64 th) (/.f64 #s(literal -1/6 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 ky ky) #s(literal -1/6 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (.f64 ky ky) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) ky)
(/ (sin kx) (sin th))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(fma.f64 (/.f64 (*.f64 ky ky) (sin.f64 th)) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 th)) (.f64 ky (/.f64 ky (sin.f64 kx))) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 kx))) (.f64 ky ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (.f64 (/.f64 ky (sin.f64 th)) (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 kx)))) (.f64 ky ky) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (sin.f64 kx))) (*.f64 ky ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx))
(+ (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))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx)) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx))
(+ (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))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 2/45 binary64)) (.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sin.f64 kx))) (.f64 ky ky) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) (.f64 ky ky) (sin.f64 kx))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (sin th) (* -1/6 (* (pow kx 2) (sin th)))))) (pow ky 2))
(/.f64 (fma.f64 (.f64 (sin.f64 th) ky) ky (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (.f64 ky ky))
(/ (+ (* -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))
(/.f64 (fma.f64 (fma.f64 (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/30 binary64)) (.f64 ky ky) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th))) (.f64 ky ky) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (*.f64 ky ky))
(/ (+ (* -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))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (fma.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal 11/945 binary64) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/45 binary64))) (.f64 (.f64 (.f64 (sin.f64 th) kx) kx) #s(literal -1/30 binary64))) (.f64 ky ky) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th))) (.f64 ky ky))) (.f64 ky ky))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/.f64 (fma.f64 (.f64 (sin.f64 th) ky) ky (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (.f64 ky ky))
(* -1/2 (* (pow kx 2) (sin th)))
(.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)
(+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(fma.f64 (.f64 (sin.f64 th) ky) ky (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (*.f64 kx kx)))
(pow ky 2)
(*.f64 ky ky)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky) ky)
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 ky ky) #s(literal 2/45 binary64)) (.f64 ky ky) #s(literal -1/3 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky) ky)
(/ (* ky th) (sin kx))
(*.f64 (/.f64 th (sin.f64 kx)) ky)
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64))) (.f64 (/.f64 th (sin.f64 kx)) ky))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal 1/120 binary64) (.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64)))) (.f64 ky ky) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) (.f64 (/.f64 th (sin.f64 kx)) ky))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (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 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (sin.f64 kx))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (fma.f64 (.f64 #s(literal -1/12 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/5040 binary64) (.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/240 binary64))))) (.f64 ky ky) (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal 1/12 binary64))))) (.f64 ky ky) (fma.f64 (/.f64 th (sin.f64 kx)) #s(literal -1/6 binary64) (.f64 (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) #s(literal -1/2 binary64)))) (.f64 (/.f64 th (sin.f64 kx)) ky))
(* ky th)
(*.f64 th ky)
(* ky (+ th (* -1/6 (* (pow ky 2) th))))
(.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* 1/120 (* (pow ky 2) th))))))
(.f64 (fma.f64 (.f64 th (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 ky ky) th) ky)
(* ky (+ th (* (pow ky 2) (+ (* -1/6 th) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) th)) (* 1/120 th)))))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (.f64 (.f64 th (fma.f64 #s(literal -1/5040 binary64) (.f64 ky ky) #s(literal 1/120 binary64))) ky) ky (.f64 #s(literal -1/6 binary64) th)) (*.f64 th ky))
(* (sin th) (+ 1 (* -1/6 (pow kx 2))))
(.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(fma.f64 (fma.f64 (/.f64 (sin.f64 th) ky) (/.f64 #s(literal -1/2 binary64) ky) (.f64 #s(literal -1/6 binary64) (sin.f64 th))) (.f64 kx kx) (sin.f64 th))
(* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))
(.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))
(* (pow ky 2) (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (fma.f64 (/.f64 (sin.f64 th) ky) (/.f64 #s(literal -1/2 binary64) ky) (.f64 #s(literal -1/6 binary64) (sin.f64 th))) (.f64 kx kx) (sin.f64 th)) (.f64 ky ky))
(- 1/2 (* 1/2 (cos (* 2 ky))))
(fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* th (sin ky))
(*.f64 (sin.f64 ky) th)
(* 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)))))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky))) th)
(* 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))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) th) (sin.f64 ky) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (.f64 #s(literal -1/6 binary64) (sin.f64 ky)))) (pow.f64 th #s(literal 3 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))))))))))))
(.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal -1/6 binary64) (.f64 (.f64 (sin.f64 ky) th) th) (sin.f64 ky)) (.f64 (.f64 (.f64 th th) (.f64 th th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/120 binary64) (sin.f64 ky) (.f64 #s(literal -1/5040 binary64) (.f64 (*.f64 (sin.f64 ky) th) th)))))) th)
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/.f64 (.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/.f64 (fma.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 #s(literal 7/360 binary64) (.f64 th th) #s(literal 1/6 binary64))) (*.f64 th th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (.f64 (.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (fma.f64 #s(literal 31/15120 binary64) (.f64 th th) #s(literal 7/360 binary64))) (.f64 th th)) (*.f64 th th))) th)
(* th (+ 1 (* -1/6 (pow th 2))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64) th)
(* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) th)
(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
(fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) th)
1
#s(literal 1 binary64)
(+ 1 (* -1/6 (pow th 2)))
(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64)) (.f64 th th) (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (* -1/240 (/ (pow kx 2) (pow (sin ky) 2)))))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/120 binary64)) (.f64 th th) (fma.f64 (.f64 kx kx) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) th)
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (+ (* 1/12 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ 1/120 (+ (* -1/240 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (- (* 1/10080 (/ (pow kx 2) (pow (sin ky) 2))) 1/5040)))))) 1/6)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 kx kx) (/.f64 #s(literal 1/10080 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/5040 binary64)) (.f64 th th) (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/240 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 (.f64 kx kx) (/.f64 #s(literal 1/12 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) th)
(/ (* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (/.f64 th (.f64 ky ky)))
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (* 1/12 (/ (pow kx 2) (pow ky 2))))) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/12 binary64) kx) ky) (/.f64 kx ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)))) th)
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (* 1/120 (+ 1 (* -1/6 (pow kx 2))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/240 binary64) kx) ky) (/.f64 kx ky) (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 (/.f64 (.f64 #s(literal 1/12 binary64) kx) ky) (/.f64 kx ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)))) (.f64 th th) (fma.f64 (*.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)))) th)
(* th (+ (* -1/2 (/ (pow kx 2) (pow ky 2))) (+ (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/6 (pow kx 2)))) (+ (* 1/12 (/ (pow kx 2) (pow ky 2))) (* (pow th 2) (+ (* -1/240 (/ (pow kx 2) (pow ky 2))) (+ (* 1/120 (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/5040 (+ 1 (* -1/6 (pow kx 2)))) (* 1/10080 (/ (pow kx 2) (pow ky 2))))))))))) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky) (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/240 binary64) kx) ky) (/.f64 kx ky) (fma.f64 (fma.f64 (/.f64 (.f64 #s(literal 1/10080 binary64) kx) ky) (/.f64 kx ky) (fma.f64 #s(literal 1/30240 binary64) (.f64 kx kx) #s(literal -1/5040 binary64))) (.f64 th th) (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)))) (.f64 th th) (fma.f64 (/.f64 (.f64 #s(literal 1/12 binary64) kx) ky) (/.f64 kx ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)))) (.f64 th th) (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)))) th)
(* th (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))))
(.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (*.f64 kx kx) #s(literal -1/2 binary64))) th)
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/12 (pow kx 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/240 binary64) kx) kx (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 ky ky))) (.f64 th th) (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky)))) (*.f64 th th)))) th)
(* th (+ (* -1/2 (pow kx 2)) (+ (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (+ (* 1/12 (pow kx 2)) (* (pow th 2) (+ (* -1/240 (pow kx 2)) (+ (* 1/120 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (* 1/10080 (pow kx 2)))))))))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/240 binary64) kx) kx (fma.f64 (fma.f64 (.f64 #s(literal 1/10080 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/30240 binary64) (.f64 kx kx) #s(literal -1/5040 binary64)) (.f64 ky ky))) (.f64 th th) (.f64 (fma.f64 #s(literal -1/720 binary64) (.f64 kx kx) #s(literal 1/120 binary64)) (.f64 ky ky)))) (.f64 th th) (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky)))) (.f64 th th)))) th)
(* th (+ 1 (* -1/2 (/ (pow kx 2) (- 1/2 (* 1/2 (cos (* 2 ky))))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)
(* 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)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) #s(literal -1/6 binary64)) (.f64 th th) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) th th)
(* 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)))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/240 binary64) #s(literal 1/120 binary64)) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) (.f64 th th) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) th th)
(* 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)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/10080 binary64) #s(literal -1/5040 binary64)) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/240 binary64) #s(literal 1/120 binary64))) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1/12 binary64) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal -1/2 binary64) #s(literal 1 binary64))) th)
(* -1/2 th)
(*.f64 #s(literal -1/2 binary64) th)
(* th (- (* 1/12 (pow th 2)) 1/2))
(.f64 (fma.f64 (.f64 th th) #s(literal 1/12 binary64) #s(literal -1/2 binary64)) th)
(* th (- (* (pow th 2) (+ 1/12 (* -1/240 (pow th 2)))) 1/2))
(.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (*.f64 th th) #s(literal -1/2 binary64)) th)
(* th (- (* (pow th 2) (+ 1/12 (* (pow th 2) (- (* 1/10080 (pow th 2)) 1/240)))) 1/2))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/10080 binary64) (.f64 th th) #s(literal -1/240 binary64)) (.f64 th th) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)
(* -1/6 (pow th 2))
(.f64 (.f64 th th) #s(literal -1/6 binary64))
(* -1/6 (pow th 3))
(*.f64 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64)))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(.f64 (.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)
(* -1/2 (sin th))
(*.f64 #s(literal -1/2 binary64) (sin.f64 th))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(*.f64 (neg.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) th) th))) (pow.f64 th #s(literal 3 binary64)))

rewrite295.0ms (2.6%)

Memory

-8.1MiB live, 269.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	453
0	108	421
1	389	421
2	2478	413
0	8357	399

Stop Event

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

Counts

20 → 218

Calls

Call 1

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

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

eval61.0ms (0.5%)

Memory: -7.9MiB live, 149.1MiB allocated
Compiler: Compiled 18 172 to 1 785 computations (90.2% saved)

prune141.0ms (1.2%)

Memory

14.3MiB live, 260.2MiB allocated

Pruning

81 alts after pruning (74 fresh and 7 done)

	Pruned	Kept	Total
New	362	29	391
Fresh	21	45	66
Picked	2	3	5
Done	1	4	5
Total	386	81	467

Accuracy

100.0%

Counts

467 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	47.0%	(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	99.7%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	42.4%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))
	33.8%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
	25.5%	(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
	79.4%	(/.f64 (sin.f64 ky) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 th)))
	29.5%	(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
	99.4%	(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
	99.4%	(/.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	51.1%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
✓	51.0%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
	40.8%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
	18.4%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
	21.4%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
	16.4%	(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	42.4%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
	43.9%	(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
	30.8%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
	29.5%	(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
	79.4%	(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))
	38.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	54.1%	(.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))
	29.5%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	51.0%	(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
	79.3%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	30.8%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	29.5%	(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
	25.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
	25.5%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
	27.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
	26.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
	12.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
	13.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th)))
	12.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
	15.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
	15.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
✓	46.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	19.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) ky)))))
	19.4%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
	40.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
	22.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
	15.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
	23.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
	16.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx))))
	17.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	18.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	46.8%	#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)))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64)))))))
	43.5%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
	18.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
	23.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
	16.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
✓	30.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	16.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
	5.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
	6.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
	15.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
	5.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
✓	3.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
	1.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
	18.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
	4.3%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
	13.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) th))))
	27.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
	10.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
	2.7%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
	16.9%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
	17.0%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
	16.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (.f64 #s(literal -1/6 binary64) th) th #s(literal 1 binary64)) th)))
	16.8%	#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)))
	8.5%	#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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
	8.5%	#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 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) th) th)) th)))
✓	10.5%	#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)))
	10.5%	#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 #s(literal -1/6 binary64) th) th)) th)))
	17.3%	#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) #s(literal 1 binary64)) th)))
	10.5%	#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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
	5.4%	#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
	23.0%	#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (sin th)) (/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx)))

Compiler

Compiled 7 636 to 2 624 computations (65.6% saved)

regimes354.0ms (3.1%)

Memory

-0.4MiB live, 552.1MiB allocated

Counts

121 → 1

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) 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 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 ky) (*.f64 (pow.f64 (sin.f64 th) #s(literal -1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (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) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sqrt.f64 (sin.f64 ky)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (sin.f64 th))
(*.f64 (pow.f64 (pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (sin.f64 th))
(.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1 binary64)))) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))

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

Calls

9 calls:

55.0ms	ky
41.0ms	kx
39.0ms	th
37.0ms	(/.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)))))
36.0ms	(sin.f64 kx)

Results

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

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes359.0ms (3.1%)

Memory

-13.4MiB live, 459.8MiB allocated

Counts

109 → 1

Calls

Call 1

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

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

Calls

9 calls:

66.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
58.0ms	kx
37.0ms	(sin.f64 ky)
36.0ms	(sin.f64 th)
33.0ms	th

Results

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

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes318.0ms (2.8%)

Memory

2.4MiB live, 442.5MiB allocated

Counts

106 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
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(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) 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 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64)))))))
(.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 th)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))) (neg.f64 (sin.f64 ky))) (sin.f64 th))

Outputs

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

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

Calls

9 calls:

47.0ms	th
44.0ms	kx
35.0ms	(sin.f64 kx)
33.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
33.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
93.8%	2	`kx`
98.9%	2	`ky`
89.7%	2	`th`
87.7%	4	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
99.1%	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)))))`
98.9%	3	`(sin.f64 ky)`
93.8%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
93.8%	3	`(sin.f64 kx)`
89.4%	3	`(sin.f64 th)`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes273.0ms (2.4%)

Memory

6.0MiB live, 359.0MiB allocated

Counts

103 → 6

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) 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 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) (pow.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) #s(literal 2 binary64)))))))

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

Calls

9 calls:

34.0ms	(sin.f64 th)
31.0ms	(*.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))
30.0ms	ky
30.0ms	(/.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)))))
29.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
73.6%	4	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
75.9%	3	`(sin.f64 th)`
77.6%	3	`th`
73.4%	4	`(sin.f64 kx)`
71.4%	2	`kx`
73.1%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
87.3%	6	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
76.3%	4	`(sin.f64 ky)`
74.9%	3	`ky`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes35.0ms (0.3%)

Memory

14.6MiB live, 51.4MiB allocated

Counts

100 → 6

Calls

Call 1

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

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

Calls

1 calls:

29.0ms

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

Results

Accuracy	Segments	Branch
87.3%	6	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes33.0ms (0.3%)

Memory

7.0MiB live, 50.1MiB allocated

Counts

98 → 6

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
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(.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 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky))))

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

Calls

1 calls:

27.0ms

(/.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
87.3%	6	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes34.0ms (0.3%)

Memory

-23.8MiB live, 51.5MiB allocated

Counts

97 → 6

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) 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 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))

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

Calls

1 calls:

27.0ms

(/.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
87.2%	6	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes32.0ms (0.3%)

Memory

11.9MiB live, 49.0MiB allocated

Counts

96 → 6

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
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#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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) 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) (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 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))

Calls

1 calls:

26.0ms

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

Results

Accuracy	Segments	Branch
87.2%	6	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes126.0ms (1.1%)

Memory

21.5MiB live, 101.6MiB allocated

Counts

94 → 5

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)))
(/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 th th) #s(literal 1 binary64)) 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 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (.f64 ky ky) #s(literal -1/6 binary64)) ky)))))

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

Calls

3 calls:

52.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
42.0ms	(sin.f64 th)
26.0ms	th

Results

Accuracy	Segments	Branch
73.2%	4	`(sin.f64 th)`
71.9%	2	`th`
78.0%	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 16 to 18 computations (-12.5% saved)

regimes65.0ms (0.6%)

Memory

-21.3MiB live, 94.4MiB allocated

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

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

Calls

2 calls:

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)))))

Results

Accuracy	Segments	Branch
71.5%	2	`ky`
78.0%	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 14 to 14 computations (0% saved)

regimes281.0ms (2.4%)

Memory

11.6MiB live, 324.3MiB allocated

Counts

90 → 4

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (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 (*.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) #s(approx (sin ky) (fma.f64 (pow.f64 ky #s(literal 3 binary64)) #s(literal -1/6 binary64) ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))

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

Calls

9 calls:

53.0ms	ky
40.0ms	kx
29.0ms	(sin.f64 th)
28.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
27.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
64.8%	3	`(sin.f64 th)`
56.8%	3	`(sin.f64 kx)`
63.0%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
56.8%	2	`kx`
58.1%	3	`ky`
55.3%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
64.8%	2	`th`
57.0%	3	`(sin.f64 ky)`
68.3%	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)))))`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes30.0ms (0.3%)

Memory

10.9MiB live, 48.6MiB allocated

Counts

89 → 4

Calls

Call 1

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

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

Calls

1 calls:

24.0ms

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

Results

Accuracy	Segments	Branch
68.1%	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)

regimes30.0ms (0.3%)

Memory

17.4MiB live, 53.7MiB allocated

Counts

85 → 4

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))

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

Calls

1 calls:

24.0ms

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

Results

Accuracy	Segments	Branch
68.0%	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)

regimes36.0ms (0.3%)

Memory

-33.7MiB live, 48.4MiB allocated

Counts

84 → 4

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)))

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

Calls

1 calls:

24.0ms

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

Results

Accuracy	Segments	Branch
68.0%	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)

regimes54.0ms (0.5%)

Memory

12.1MiB live, 86.4MiB allocated

Counts

83 → 4

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky)))

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

Calls

2 calls:

25.0ms	th
24.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
54.7%	2	`th`
67.8%	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 14 to 14 computations (0% saved)

regimes30.0ms (0.3%)

Memory

23.1MiB live, 58.2MiB allocated

Counts

82 → 4

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (neg.f64 (sin.f64 ky))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (fma.f64 (.f64 #s(literal -1/2 binary64) kx) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (.f64 (.f64 (fma.f64 (*.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) ky) ky (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.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 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) (sin.f64 kx) (/.f64 #s(literal 1/2 binary64) (sin.f64 kx))) ky) ky (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))))))

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

Calls

1 calls:

25.0ms

(/.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
67.8%	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)

regimes228.0ms (2%)

Memory

2.7MiB live, 324.5MiB allocated

Counts

79 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

43.0ms	ky
25.0ms	(/.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)))))
23.0ms	(sin.f64 th)
23.0ms	kx
23.0ms	th

Results

Accuracy	Segments	Branch
36.7%	2	`th`
50.4%	5	`(sin.f64 kx)`
43.9%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
47.2%	2	`(sin.f64 ky)`
44.9%	2	`ky`
48.0%	4	`kx`
42.9%	3	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
33.8%	1	`(sin.f64 th)`
51.7%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes23.0ms (0.2%)

Memory

-5.1MiB live, 37.4MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 kx)) (sin.f64 th)))

Outputs

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

19.0ms

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

Results

Accuracy	Segments	Branch
51.6%	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)

regimes23.0ms (0.2%)

Memory

-0.5MiB live, 37.4MiB allocated

Counts

65 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (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 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx))) (sin.f64 ky))
(.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 ky))) (sin.f64 ky))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (* (sin ky) th) (*.f64 th ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))

Outputs

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

18.0ms

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

Results

Accuracy	Segments	Branch
51.6%	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)

regimes21.0ms (0.2%)

Memory

-3.6MiB live, 34.7MiB allocated

Counts

61 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (/.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (.f64 kx kx) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (/.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 #s(literal -1/2 binary64) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64))))) (sin.f64 th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (*.f64 kx kx) #s(literal 1 binary64))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (/.f64 (fma.f64 (.f64 (.f64 ky ky) kx) #s(literal 1/3 binary64) kx) ky) ky))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (sin.f64 th) (.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)) (.f64 ky ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (.f64 (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/45 binary64) #s(literal -1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) 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 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (.f64 kx #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 (.f64 kx kx) #s(literal 1/15 binary64)) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (sin.f64 th)))

Outputs

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

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

Calls

1 calls:

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
49.1%	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)

regimes16.0ms (0.1%)

Memory

-16.1MiB live, 22.3MiB allocated

Counts

46 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))
(*.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)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 kx)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))

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

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
49.1%	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)

regimes15.0ms (0.1%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))
#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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)) #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)) (/.f64 (.f64 (sin.f64 ky) th) #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)) (/.f64 (.f64 (sin.f64 ky) th) #s(approx (sqrt (+ ( (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin.f64 ky))))

Outputs

#s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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

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
47.3%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes110.0ms (1%)

Memory

4.7MiB live, 119.2MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (sin.f64 th)))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (/ (* (sin ky) th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (*.f64 (/.f64 th (sin.f64 kx)) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 (pow.f64 th #s(literal 3 binary64)) (fma.f64 (*.f64 th th) #s(literal 1/120 binary64) #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) #s(approx (* (+ (* (* th th) -1/6) 1) th) (.f64 (pow.f64 th #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (.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) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) ky) ky)) (*.f64 ky ky))))
#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 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) (pow.f64 th #s(literal 3 binary64))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) kx)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) kx) ky) (/.f64 kx ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) ky) (/.f64 (sin.f64 th) ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 kx (*.f64 (sin.f64 th) kx)) #s(literal -1/2 binary64))) ky) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (fma.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) th)))
(/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (- 1/2 (* (cos (* 2 ky)) 1/2))))) (sin th)) (fma.f64 (.f64 #s(literal -1/2 binary64) th) (/.f64 (.f64 kx kx) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1/2 binary64)))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (.f64 (sin.f64 th) (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (.f64 kx kx))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 th) ky) ky))) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 #s(approx (* (sin th) -1/2) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) (.f64 th th) #s(literal -1/2 binary64)) th)) (.f64 kx (/.f64 kx #s(approx (- 1/2 (* (cos (* 2 ky)) 1/2)) (*.f64 ky ky)))) (sin.f64 th)))

Outputs

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

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

Calls

6 calls:

43.0ms	kx
16.0ms	(sin.f64 kx)
15.0ms	(/.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)))))
11.0ms	(sin.f64 ky)
11.0ms	ky

Results

Accuracy	Segments	Branch
35.9%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
35.7%	2	`kx`
37.8%	2	`ky`
36.0%	3	`(sin.f64 kx)`
37.7%	2	`(sin.f64 ky)`
42.3%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 23 to 31 computations (-34.8% saved)

regimes57.0ms (0.5%)

Memory

-3.0MiB live, 35.0MiB allocated

Counts

19 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#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)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 (/.f64 (.f64 kx kx) ky) (/.f64 #s(literal -1/2 binary64) ky) (fma.f64 (fma.f64 (/.f64 #s(literal 1/12 binary64) ky) (/.f64 (.f64 kx kx) ky) (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64))) (.f64 th th) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)))) 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 (pow.f64 th #s(literal 3 binary64)) #s(literal -1/6 binary64)))))

Outputs

#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 #s(literal -1/6 binary64) th) th)) th)))

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

Calls

4 calls:

37.0ms	(/.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	(*.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	(sin.f64 ky)
6.0ms	ky

Results

Accuracy	Segments	Branch
34.0%	2	`(sin.f64 ky)`
33.6%	2	`ky`
37.1%	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))`
37.1%	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 32 to 31 computations (3.1% saved)

regimes368.0ms (3.2%)

Memory

-170.2MiB live, 67.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#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) #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 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 #s(literal -1/6 binary64) 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 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 (.f64 #s(literal -1/6 binary64) th) th #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) (.f64 (+.f64 (.f64 #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)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.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 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) 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 (fma.f64 (fma.f64 (.f64 th th) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin 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 (/.f64 (/.f64 #s(literal 1 binary64) th) th) #s(literal 1/6 binary64)) th) th)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 th (/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) (.f64 ky ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (.f64 kx kx) #s(literal -1/2 binary64))) th)) (.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) (/.f64 #s(approx (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (fma.f64 (.f64 (fma.f64 (.f64 kx kx) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky) ky (.f64 (fma.f64 (.f64 #s(literal 1/12 binary64) kx) kx (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 kx kx) #s(literal -1/6 binary64)) (.f64 ky ky))) (.f64 th th)))) th)) (*.f64 ky ky))))

Outputs

#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 #s(literal -1/6 binary64) 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) #s(literal 1 binary64)) th)))

Calls

9 calls:

313.0ms	th
18.0ms	(sin.f64 ky)
5.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
5.0ms	kx
5.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
20.5%	2	`ky`
20.6%	2	`(sin.f64 ky)`
19.6%	2	`(sin.f64 kx)`
19.4%	2	`(sin.f64 th)`
24.3%	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))`
20.7%	2	`kx`
20.7%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
19.5%	2	`th`
23.5%	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 42 to 51 computations (-21.4% saved)

regimes11.0ms (0.1%)

Memory

24.0MiB live, 24.0MiB allocated

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) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #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) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)))

Calls

9 calls:

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

Results

Accuracy	Segments	Branch
17.3%	1	`(sin.f64 th)`
17.3%	1	`th`
17.3%	1	`(sin.f64 kx)`
17.3%	1	`ky`
17.3%	1	`(sin.f64 ky)`
17.3%	1	`kx`
17.3%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
17.3%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
17.3%	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 42 to 51 computations (-21.4% saved)

bsearch48.0ms (0.4%)

Memory

-11.1MiB live, 27.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
45.0ms	6.308054972260424e-5	0.7963696430129814

Samples

40.0ms

128×

valid

Compiler

Compiled 379 to 314 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-sin: 31.0ms (85.6% of total)

ival-pow2: 2.0ms (5.5% of total)

ival-div: 1.0ms (2.8% of total)

ival-add: 1.0ms (2.8% of total)

ival-mult: 1.0ms (2.8% of total)

ival-sqrt: 1.0ms (2.8% of total)

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

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

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4424933047277975	-0.4055373724054084
0.0ms	-0.9999999999998572	-0.9999846708835508

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4424933047277975	-0.4055373724054084
0.0ms	-0.9999999999998572	-0.9999846708835508

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4424933047277975	-0.4055373724054084
0.0ms	-0.9999999999998572	-0.9999846708835508

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4450649356091166	-0.4424933047277975
0.0ms	-0.9999999999998572	-0.9999846708835508

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch2.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

5×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4450649356091166	-0.4424933047277975
0.0ms	-0.9999999999998572	-0.9999846708835508

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4450649356091166	-0.4424933047277975

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch6.0ms (0.1%)

Memory

-37.4MiB live, 1.9MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.0000056165380304
0.0ms	0.9947818255290916	0.9999999996094946
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.4450649356091166	-0.4424933047277975

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996094946	0.9999999999995571
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.5629929680722473	-0.4450649356091166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996094946	0.9999999999995571
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.5629929680722473	-0.4450649356091166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996094946	0.9999999999995571
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.5629929680722473	-0.4450649356091166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996094946	0.9999999999995571
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.5629929680722473	-0.4450649356091166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996094946	0.9999999999995571
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.5629929680722473	-0.4450649356091166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999996094946	0.9999999999995571
0.0ms	0.017560687712785333	0.02040622816525496
0.0ms	-0.5629929680722473	-0.4450649356091166

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06617082064637783	0.08135170823240392

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06617082064637783	0.08135170823240392

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06617082064637783	0.08135170823240392

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.017560687712785333	0.02040622816525496

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.017560687712785333	0.02040622816525496

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.017560687712785333	0.02040622816525496

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.102477698214602e-17	5.943392260076405e-13

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.4034376290496256e-36	3.3529978876715754e-26

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.394007e-318	1.9789997331250437e-307

Compiler

Compiled 19 to 19 computations (0% saved)

simplify68.0ms (0.6%)

Memory

1.9MiB live, 46.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	252	3271
1	316	3270
2	442	3244
3	751	3244
4	2092	3232
5	4896	3232

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(if (<=.f64 ky #s(literal 7378697629483821/4611686018427387904 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))) (.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 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 -9007109182748445/9007199254740992 binary64)) (.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)) (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 -7566047373982433/18014398509481984 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))) (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 8962163258467287/9007199254740992 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (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 1 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))))))))
(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 -9007109182748445/9007199254740992 binary64)) (.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)) (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 -7566047373982433/18014398509481984 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))) (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 8962163258467287/9007199254740992 binary64)) (.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (fma.f64 (.f64 th th) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (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 1 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))))))))
(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 -9007109182748445/9007199254740992 binary64)) (.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)) (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 -7566047373982433/18014398509481984 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))) (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 8962163258467287/9007199254740992 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (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 1 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)))))))))
(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 -9007109182748445/9007199254740992 binary64)) (.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)) (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 -8016407336719483/18014398509481984 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (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 8962163258467287/9007199254740992 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))) (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 1 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)))))))
(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 -9007109182748445/9007199254740992 binary64)) (.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)) (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 -8016407336719483/18014398509481984 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (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 8962163258467287/9007199254740992 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 1 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)))))))
(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 -8016407336719483/18014398509481984 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (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 8962163258467287/9007199254740992 binary64)) (/.f64 (.f64 #s(approx (sin th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (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 1 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))))))
(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 -8016407336719483/18014398509481984 binary64)) (.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (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 5764607523034235/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky)) (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 8962163258467287/9007199254740992 binary64)) (.f64 (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky)) (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 1 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (fma.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 th) (hypot.f64 #s(approx (sin ky) (.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 ky ky) #s(literal 1 binary64)) ky)) (sin.f64 kx))) (sin.f64 ky))))))
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(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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 5764607523034235/72057594037927936 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) #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 5764607523034235/72057594037927936 binary64)) (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin 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 5764607523034235/72057594037927936 binary64)) (.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)))
(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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) #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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 binary64)) #s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (.f64 (/.f64 th (sin.f64 kx)) ky))) #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 2993155353253689/1496577676626844588240573268701473812127674924007424 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 #s(literal -1/6 binary64) th) th)) th))) #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 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #s(literal -1/6 binary64) 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) #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 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)))

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
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(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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)) (sin.f64 ky))) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 -1/2 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) (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 281474976654361/281474976710656 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/.f64 (.f64 (sin.f64 ky) th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx)))))) #s(literal 2 binary64)))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (+ (* (* (sin th) -1/2) (* kx (/ kx (pow (sin ky) 2)))) (sin th)) #s(approx (/ (+ (* (* -1/2 (* kx kx)) (sin th)) (* (* (+ (* -1/6 (* kx kx)) 1) (sin th)) (* ky ky))) (* ky ky)) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 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 5764607523034235/72057594037927936 binary64)) (/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin.f64 kx)) (sin.f64 ky))) #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 5764607523034235/72057594037927936 binary64)) (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin 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 5764607523034235/72057594037927936 binary64)) (/.f64 (sin.f64 ky) (/.f64 #s(approx (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 5764607523034235/72057594037927936 binary64)) (.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)))
(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 5764607523034235/72057594037927936 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (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 5764607523034235/288230376151711744 binary64)) (/.f64 (sin.f64 th) #s(approx (/ (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))) (sin ky)) (/.f64 (sin.f64 kx) ky))) #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 5764607523034235/288230376151711744 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 5764607523034235/288230376151711744 binary64)) #s(approx (* (* (/ -1 (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (neg (sin ky))) (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 5764607523034235/288230376151711744 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 6490371073168535/324518553658426726783156020576256 binary64)) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (* (* (sin ky) th) (sqrt (/ 1 (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (.f64 (/.f64 th (sin.f64 kx)) ky))) #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 2993155353253689/1496577676626844588240573268701473812127674924007424 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 #s(literal -1/6 binary64) th) th)) th))) #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 2024023/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #s(literal -1/6 binary64) 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) #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 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)))

soundness2.0s (17.2%)

Memory

16.3MiB live, 1 435.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	453
0	108	421
1	389	421
2	2478	413
0	8357	399
0	675	3677
1	2237	3528
0	8400	3255
0	317	1402
1	1011	1353
2	3865	1261
3	7812	1261
0	8115	1188
0	641	3338
1	2113	3177
2	7892	3171
0	8891	2873
0	36	202
0	59	172
1	205	168
0	1246	168
0	637	3194
1	2058	3064
0	8011	2851
0	13	49
0	22	49
1	62	49
2	344	49
3	2978	49
0	8260	34
0	57	358
0	97	325
1	350	319
2	2235	311
0	9045	311

Stop Event

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

Compiler

Compiled 6 159 to 1 986 computations (67.8% saved)

preprocess145.0ms (1.3%)

Memory

29.4MiB live, 300.1MiB allocated

Remove

(negabs ky)

(negabs th)

(abs kx)

Compiler

Compiled 6 676 to 574 computations (91.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated