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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze217.0ms (1.8%)

Memory

20.2MiB live, 292.5MiB 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)

sample1.7s (14%)

Memory

47.8MiB live, 2 965.4MiB allocated

Samples

1.3s

8 256×

valid

Precisions

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

ival-sin: 668.0ms (62% of total)

ival-pow2: 164.0ms (15.2% of total)

ival-sqrt: 68.0ms (6.3% of total)

ival-mult: 59.0ms (5.5% of total)

ival-add: 58.0ms (5.4% of total)

ival-div: 50.0ms (4.6% of total)

ival-true: 7.0ms (0.6% of total)

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

Bogosity

explain186.0ms (1.6%)

Memory

-23.9MiB live, 288.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
19	-	2	(7.5372914289113205e-208 1.7041785309938144e-159 -3.476414642957858e-209)	`(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	17	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	58
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	69
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	17

Confusion

	Predicted +	Predicted -
+	17	2
-	0	237

Precision

1.0

Recall

0.8947368421052632

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	17	0	2
-	0	0	237

Precision?

1.0

Recall?

0.8947368421052632

Freqs

test

number	freq
0	239
1	17

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

86.0ms

512×

valid

Compiler

Compiled 152 to 43 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-sin: 39.0ms (59.7% of total)

ival-pow2: 12.0ms (18.4% of total)

ival-div: 4.0ms (6.1% of total)

ival-mult: 3.0ms (4.6% of total)

ival-sqrt: 3.0ms (4.6% of total)

ival-add: 2.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

preprocess76.0ms (0.6%)

Memory

19.3MiB live, 56.3MiB allocated

Algorithm

1×	egg-herbie

Rules

390×	`unsub-neg`
362×	`times-frac`
340×	`associate-l`
334×	`associate-r`
280×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	153
1	101	147
2	211	147
3	383	147
4	831	147
5	1949	147
6	2504	147
7	2781	147
8	2893	147
9	2943	147
10	2958	147
11	2958	147
0	13	16
0	22	16
1	28	16
2	32	16
3	33	16
0	33	12

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 (*.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.9%	(*.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)

simplify4.0ms (0%)

Memory

5.6MiB live, 5.6MiB 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	6656	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))

Rules

16×	`lower-*.f32`
14×	`lower-*.f64`
6×	`lift-sin.f64`
6×	`*-commutative`
6×	`lower-sin.f32`

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	50

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

localize55.0ms (0.5%)

Memory

-5.0MiB live, 74.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(*.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))
accuracy	0.23046875	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	4.311620054390197	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Samples

45.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-sin: 19.0ms (60.5% of total)

ival-pow2: 4.0ms (12.7% of total)

ival-sqrt: 3.0ms (9.6% of total)

ival-div: 2.0ms (6.4% of total)

ival-mult: 2.0ms (6.4% of total)

ival-add: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.3%)

Memory

-13.4MiB live, 62.4MiB allocated

Counts

7 → 144

Calls

Call 1

Inputs
#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())
#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())

Outputs
#s(alt (pow (sin ky) 2) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (pow kx 2) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky)))) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
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#s(alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor inf ky) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
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#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (+ (pow (sin kx) 2) (pow (sin ky) 2)) (taylor -inf ky) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (pow (sin kx) 2) (pow (sin ky) 2)) (taylor -inf ky) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (pow (sin kx) 2) (pow (sin ky) 2)) (taylor -inf ky) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (pow (sin kx) 2) (pow (sin ky) 2)) (taylor -inf ky) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor -inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor -inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor -inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor -inf ky) (#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())

Calls

9 calls:

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

simplify241.0ms (2%)

Memory

24.0MiB live, 313.5MiB allocated

Algorithm

1×	egg-herbie

Rules

14 494×	`lower-fma.f64`
14 494×	`lower-fma.f32`
6 260×	`lower-*.f64`
6 260×	`lower-*.f32`
5 424×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	323	2507
1	1023	2458
2	3888	2358
3	7852	2358
0	8155	1948

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 143

Calls

Call 1

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

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

rewrite183.0ms (1.5%)

Memory

5.4MiB live, 240.8MiB allocated

Rules

4 346×	`lower-fma.f64`
4 346×	`lower-fma.f32`
3 626×	`lower-*.f32`
3 624×	`lower-*.f64`
2 248×	`lower-pow.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
0	22	58
1	62	58
2	338	58
3	2902	58
0	8284	42

Stop Event

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

Counts

7 → 416

Calls

Call 1

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

Outputs
(*.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (exp.f64 (log.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (exp.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))))
(*.f64 (pow.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 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.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 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (hypot.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 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 9 binary64)) (pow.f64 (sin.f64 ky) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (sin.f64 ky) (sin.f64 kx)) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.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)))) #s(literal -1 binary64)))
(*.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)))) (fma.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))
(.f64 (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 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)))) (-.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 (/.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) (hypot.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 3/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))) (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 (/.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 (+.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (sin.f64 kx) (sin.f64 ky)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (+.f64 (sin.f64 ky) (sin.f64 kx))) (+.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (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 (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)) (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 binary64)) #s(literal -1 binary64)))
(*.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 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))
(.f64 (pow.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal -1 binary64)) (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (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 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 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)))
(*.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))
(.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) (.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (pow.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 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 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.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)))))
(.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 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))))
(pow.f64 (*.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))) #s(literal 1/4 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (+.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (+.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (-.f64 (neg.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))) (exp.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (exp.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64)))))))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (exp.f64 (log.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64))))) (exp.f64 (log.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 2 binary64))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 (sin.f64 kx) (sin.f64 ky)))
(/.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))))
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(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 1/2 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))))
(.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 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.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 (neg.f64 (sin.f64 ky)) (neg.f64 (sin.f64 ky)))
(*.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 1/4 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 1/8 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 1/2 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 1/2 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))))

eval93.0ms (0.8%)

Memory: 1.8MiB live, 156.2MiB allocated
Compiler: Compiled 14 201 to 2 326 computations (83.6% saved)

prune77.0ms (0.6%)

Memory

-19.6MiB live, 113.8MiB allocated

Pruning

33 alts after pruning (32 fresh and 1 done)

	Pruned	Kept	Total
New	562	32	594
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	562	33	595

Accuracy

100.0%

Counts

595 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	67.6%	(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	64.9%	(*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	36.7%	(.f64 (/.f64 (.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))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	39.1%	(.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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)))))
	74.8%	(.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))
	46.0%	(*.f64 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
	85.9%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (+.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 kx) (-.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (sin.f64 th))
	84.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	82.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	74.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
	74.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
	73.0%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	92.8%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
	84.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (.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))) #s(literal 2 binary64))))) (sin.f64 th))
✓	92.9%	(*.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))
	67.3%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
▶	45.6%	(.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))
▶	92.2%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	82.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	92.3%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	55.0%	(.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))
	40.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	41.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	37.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
	36.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
	65.2%	(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	40.0%	(.f64 (.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
	23.4%	(.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))
	33.6%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	20.8%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.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))
	17.6%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
	18.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
▶	30.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))

Compiler

Compiled 1 500 to 1 091 computations (27.3% saved)

simplify132.0ms (1.1%)

Memory

13.8MiB live, 52.3MiB 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) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.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 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
cost-diff	6400	(exp.f64 #s(literal 1 binary64))
cost-diff	0	(sin.f64 ky)
cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
cost-diff	0	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
cost-diff	1216	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
cost-diff	0	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
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)) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
cost-diff	0	(.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))
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	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #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 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
cost-diff	6656	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))

Rules

1 552×	`lower-fma.f64`
1 552×	`lower-fma.f32`
1 182×	`lower-*.f32`
1 170×	`lower-*.f64`
836×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	423
0	85	411
1	114	383
2	147	383
3	210	383
4	327	383
5	517	383
6	613	383
7	720	383
8	824	383
9	932	383
10	1494	383
11	3498	383
12	4432	383
13	4589	383
14	4744	383
15	4832	383
16	4857	383
17	4865	383
18	4865	383
0	4865	358

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

localize233.0ms (2%)

Memory

6.1MiB live, 315.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	1.9949060553370834	(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
accuracy	4.311620054390197	(sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy	14.544630096116173	(log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
accuracy	0.23046875	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	0.3592536307231924	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))))
accuracy	4.311620054390197	(sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy	17.442502413989544	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx)))
accuracy	0.16015625	(.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))
accuracy	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	4.311620054390197	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
accuracy	30.973855850720785	#s(approx (pow (sin ky) 2) (*.f64 ky ky))
accuracy	0	(sin.f64 th)
accuracy	44.691370435376406	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
accuracy	0.23046875	(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))
accuracy	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
accuracy	4.311620054390197	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))

Samples

97.0ms	109×	1	valid
53.0ms	127×	0	valid
37.0ms	20×	2	valid

Compiler

Compiled 402 to 41 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 151.0ms

ival-cos: 24.0ms (15.9% of total)

ival-sin: 23.0ms (15.2% of total)

ival-pow: 22.0ms (14.6% of total)

adjust: 14.0ms (9.3% of total)

ival-div: 14.0ms (9.3% of total)

ival-mult: 12.0ms (8% of total)

ival-pow2: 11.0ms (7.3% of total)

ival-sqrt: 10.0ms (6.6% of total)

ival-add: 8.0ms (5.3% of total)

ival-exp: 6.0ms (4% of total)

ival-log: 5.0ms (3.3% of total)

ival-sub: 2.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series281.0ms (2.4%)

Memory

8.2MiB live, 356.5MiB allocated

Counts

26 → 528

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) #<representation:binary64>) () ())
#s(alt #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (patch #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (sin.f64 th) (patch (sin.f64 th) #<representation:binary64>) () ())
#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())
#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())
#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())
#s(alt (exp.f64 #s(literal 1 binary64)) (patch (exp.f64 #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (patch (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (patch (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #<representation:binary64>) () ())

Outputs
#s(alt (pow (sin ky) 2) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (pow kx 2) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (patch #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (patch #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (patch #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) (patch #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt (.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)) (patch (.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)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 kx) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ())
#s(alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor 0 kx) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ())
#s(alt (+ 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)))))) (taylor 0 kx) (#s(alt (/.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))))) (patch (/.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))))) #<representation:binary64>) () ())) ())
#s(alt (sin ky) (taylor 0 kx) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #<representation:binary64>) () ())) ())
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#s(alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (taylor -inf ky) (#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
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#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (pow (sin ky) 2) (taylor -inf ky) (#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())
#s(alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (taylor -inf ky) (#s(alt (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
85.0ms	kx	@	inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (exp 1) (* (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2) (pow (sin ky) 2) (- 1 (cos (* 2 kx))) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2))) (pow (sin ky) 2) (log (pow (sin kx) 2)) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2))) (pow (exp 1) (log (pow (sin kx) 2))))
62.0ms	th	@	inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (exp 1) (* (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2) (pow (sin ky) 2) (- 1 (cos (* 2 kx))) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2))) (pow (sin ky) 2) (log (pow (sin kx) 2)) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2))) (pow (exp 1) (log (pow (sin kx) 2))))
25.0ms	kx	@	-inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (exp 1) (* (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2) (pow (sin ky) 2) (- 1 (cos (* 2 kx))) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2))) (pow (sin ky) 2) (log (pow (sin kx) 2)) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2))) (pow (exp 1) (log (pow (sin kx) 2))))
21.0ms	ky	@	inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (exp 1) (* (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2) (pow (sin ky) 2) (- 1 (cos (* 2 kx))) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2))) (pow (sin ky) 2) (log (pow (sin kx) 2)) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2))) (pow (exp 1) (log (pow (sin kx) 2))))
19.0ms	ky	@	-inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (exp 1) (* (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2)))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2) (pow (sin ky) 2) (- 1 (cos (* 2 kx))) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2))) (pow (sin ky) 2) (log (pow (sin kx) 2)) (sqrt (+ (pow (exp 1) (log (pow (sin kx) 2))) (pow (sin ky) 2))) (pow (exp 1) (log (pow (sin kx) 2))))

simplify263.0ms (2.2%)

Memory

16.6MiB live, 274.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 924×	`lower-fma.f64`
12 924×	`lower-fma.f32`
9 448×	`lower-*.f64`
9 448×	`lower-*.f32`
4 266×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	683	12155
1	2221	11620
0	8207	10032

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 525

Calls

Call 1

Inputs
(pow (sin ky) 2)
(+ (pow kx 2) (pow (sin ky) 2))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (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
(+ 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))))))))))))
(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))))))
(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 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))))
(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))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(+ (* 1/6 (* (* (pow kx 4) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (+ (* 1/36 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2)))))))) (sqrt (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))))))
(+ (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow kx 2) (+ (* 1/6 (* (* (pow kx 2) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (* (sin th) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (+ (* 1/36 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2))))))) (sqrt (+ (pow kx 2) (pow (sin ky) 2))))) (* -1/2 (* (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/6 (/ (* (pow kx 2) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (+ (* 1/36 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2)))))) (+ (pow kx 2) (pow (sin ky) 2)))) (+ (* -1/315 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2))) (+ (* 2/135 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 1/3 (/ (* (pow kx 2) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2))))) (+ (pow kx 2) (pow (sin ky) 2)))))))))) (sqrt (+ (pow kx 2) (pow (sin ky) 2))))))))))
(* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(+ (* 1/6 (* (* (pow kx 4) (sin ky)) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))) (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
(+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow kx 2) (+ (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (+ (* 1/36 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2))))))) (sqrt (+ (pow kx 2) (pow (sin ky) 2))))) (* 1/6 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))))))
(+ (* (sin ky) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))) (* (pow kx 2) (+ (* 1/6 (* (* (pow kx 2) (sin ky)) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))) (* (pow kx 2) (+ (* -1/2 (* (* (sin ky) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (+ (* 1/36 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2)))))) (sqrt (+ (pow kx 2) (pow (sin ky) 2))))) (* -1/2 (* (* (pow kx 2) (* (sin ky) (+ (* -1/6 (/ (* (pow kx 2) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (+ (* 1/36 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2)))))) (+ (pow kx 2) (pow (sin ky) 2)))) (+ (* -1/315 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2))) (+ (* 2/135 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 1/3 (/ (* (pow kx 2) (+ (* -1/9 (/ (pow kx 4) (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))) (* 2/45 (/ (pow kx 2) (pow (+ (pow kx 2) (pow (sin ky) 2)) 2))))) (+ (pow kx 2) (pow (sin ky) 2))))))))) (sqrt (+ (pow kx 2) (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))))))
(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))))
(* 2 (pow kx 2))
(* (pow kx 2) (+ 2 (* -2/3 (pow kx 2))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* 4/45 (pow kx 2)) 2/3))))
(* (pow kx 2) (+ 2 (* (pow kx 2) (- (* (pow kx 2) (+ 4/45 (* -2/315 (pow kx 2)))) 2/3))))
(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))))))
(* 2 (log kx))
(+ (* -1/3 (pow kx 2)) (* 2 (log kx)))
(+ (* 2 (log kx)) (* (pow kx 2) (- (* -1/90 (pow kx 2)) 1/3)))
(+ (* 2 (log kx)) (* (pow kx 2) (- (* (pow kx 2) (- (* -2/2835 (pow kx 2)) 1/90)) 1/3)))
(sqrt (+ (pow kx 2) (pow (sin ky) 2)))
(+ (sqrt (+ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow kx 4) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))
(+ (sqrt (+ (pow kx 2) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/6 (* (pow kx 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* 1/2 (* (* (pow kx 2) (- (* 2/45 (pow kx 2)) (* 1/36 (/ (pow kx 4) (+ (pow kx 2) (pow (sin ky) 2)))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))
(+ (sqrt (+ (pow kx 2) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/6 (* (pow kx 2) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))) (* (pow kx 2) (+ (* 1/2 (* (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))) (- (* 2/45 (pow kx 2)) (* 1/36 (/ (pow kx 4) (+ (pow kx 2) (pow (sin ky) 2))))))) (* 1/2 (* (* (pow kx 2) (- (* -1/315 (pow kx 2)) (* -1/6 (/ (* (pow kx 2) (- (* 2/45 (pow kx 2)) (* 1/36 (/ (pow kx 4) (+ (pow kx 2) (pow (sin ky) 2)))))) (+ (pow kx 2) (pow (sin ky) 2)))))) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))))))))
(pow kx 2)
(+ (* -1/3 (pow kx 4)) (pow kx 2))
(+ (* (pow kx 2) (+ (* -1/3 (pow kx 2)) (* 2/45 (pow kx 4)))) (pow kx 2))
(+ (* (pow kx 2) (+ (* -1/3 (pow kx 2)) (* (pow kx 2) (+ (* -1/315 (pow kx 4)) (* 2/45 (pow kx 2)))))) (pow kx 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* 1/2 (- 1 (cos (* 2 kx))))
(* 1/2 (- 1 (cos (* 2 kx))))
(* 1/2 (- 1 (cos (* 2 kx))))
(* 1/2 (- 1 (cos (* 2 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(log (pow (sin kx) 2))
(log (pow (sin kx) 2))
(log (pow (sin kx) 2))
(log (pow (sin kx) 2))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* 1/2 (- 1 (cos (* 2 kx))))
(* 1/2 (- 1 (cos (* 2 kx))))
(* 1/2 (- 1 (cos (* 2 kx))))
(* 1/2 (- 1 (cos (* 2 kx))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(- 1 (cos (* 2 kx)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(log (pow (sin kx) 2))
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(log (pow (sin kx) 2))
(log (pow (sin kx) 2))
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(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 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))))))))))))
(* (* 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))))
(* (* 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 (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (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))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(sin th)
(sin th)
(sin th)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(sin th)
(sin th)
(sin th)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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 (sin kx) 2)
(+ (pow ky 2) (pow (sin kx) 2))
(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 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 (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))))
(/ (* 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))))
(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) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 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))))
(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))))))
(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)
(* (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))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
(+ (* 1/2 (* (/ (pow ky 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 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))))
(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))))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))

Outputs
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(+ (pow kx 2) (pow (sin ky) 2))
(hypot.f64 kx (sin.f64 ky))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))
(fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 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 (sin.f64 th) #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 #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 kx kx) (/.f64 (.f64 (sin.f64 th) #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 kx (/.f64 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))))))
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(+ 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))))))
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(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
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(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)))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx (/.f64 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))))))
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(+ 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))))))
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(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))))))
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(+ (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))))))
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(pow kx 2)
(*.f64 kx kx)
(* (pow kx 2) (+ 1 (* -1/3 (pow kx 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx)
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)
(* (pow kx 2) (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 2/45 (* -1/315 (pow kx 2)))) 1/3))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/315 binary64) (.f64 kx kx) #s(literal 2/45 binary64)) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx)
(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 (sin.f64 th) #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))))))))))))
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1
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx (/.f64 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))))))
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(+ 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))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 kx (sin.f64 ky)))) (sin.f64 th)) (sin.f64 ky))
(+ (* 1/6 (* (* (pow kx 4) (* (sin ky) (sin th))) (sqrt (/ 1 (pow (+ (pow kx 2) (pow (sin ky) 2)) 3))))) (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow kx 2) (pow (sin ky) 2))))))
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th
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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))))))))))
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(* 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 (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))
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(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2))))))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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)))))))
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(* 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))))))))))
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(* 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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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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 (.f64 ky (.f64 ky ky)) (-.f64 (.f64 (+.f64 (fma.f64 (-.f64 (fma.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)))) (.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))))))) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (.f64 ky ky) (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 #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 (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (+ (* (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))))
(.f64 (fma.f64 (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (+ (* (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (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 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.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 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))))) (.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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (+ (* (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))))
(.f64 (fma.f64 (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (+ (* (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (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 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.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 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))))) (.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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (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 (.f64 ky (neg.f64 (.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))) (+ (* 1/2 (* (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 (.f64 ky (.f64 ky ky)) (-.f64 (.f64 (+.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 #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 (.f64 ky (.f64 ky ky)) (-.f64 (.f64 (+.f64 (fma.f64 (-.f64 (fma.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)))) (.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))))))) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (.f64 ky ky) (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 #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))))
(.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (*.f64 ky ky) #s(literal 1 binary64)) ky)
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky)
(sin 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))
(* (* ky (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th)))
(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
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(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
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(* ky (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
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(* (* ky (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx))))))))))))))
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(* ky (+ (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -2 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* -1/6 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* (pow ky 2) (+ (* 1/120 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (+ (* 1/3 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (+ (* 1/2 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (* (pow ky 2) (+ (* -1/2 (* (/ (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 kx)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (- 1 (cos (* 2 kx))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/12 (* (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 kx))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 kx))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 kx))) 3))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 kx)))))) (+ (* -1/60 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 kx))) 3))))) (* -1/5040 (* (sqrt 2) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))))))))))))
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(/ (* 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))))
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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))))))))))))) (/ (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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(* 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))))
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(sin kx)
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx)))))
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(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 kx))))) (* (pow ky 2) (+ (* -1/2 (* (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 kx)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 kx))))))))))
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(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 kx)))) (pow (sin ky) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))

rewrite244.0ms (2.1%)

Memory

-12.5MiB live, 349.0MiB allocated

Rules

6 106×	`lower-fma.f64`
6 106×	`lower-fma.f32`
3 016×	`lower-/.f32`
3 006×	`lower-/.f64`
2 994×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	307
0	85	258
1	275	254
2	1529	242
0	8760	197

Stop Event

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

Counts

26 → 1 157

Calls

Call 1

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

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

eval630.0ms (5.3%)

Memory: -81.7MiB live, 708.1MiB allocated
Compiler: Compiled 58 648 to 7 421 computations (87.3% saved)

prune144.0ms (1.2%)

Memory

-30.4MiB live, 211.9MiB allocated

Pruning

43 alts after pruning (41 fresh and 2 done)

	Pruned	Kept	Total
New	2 198	35	2 233
Fresh	21	6	27
Picked	4	1	5
Done	0	1	1
Total	2 223	43	2 266

Accuracy

100.0%

Counts

2 266 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	43.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
	45.6%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
	57.7%	(.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
▶	92.8%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
	82.7%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	39.1%	(.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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)))))
	45.4%	(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal 1/4 binary64))))
	45.6%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
	74.8%	(.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))
	85.9%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (+.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 kx) (-.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))) (sin.f64 th))
▶	84.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	82.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	74.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	92.9%	(*.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))
	82.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(literal 2 binary64))))) (sin.f64 th))
	40.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	74.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	35.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	35.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	29.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	20.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	55.0%	(.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))
	29.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	55.2%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
	45.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
	40.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	41.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
▶	37.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
	36.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
	30.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
	43.6%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	45.5%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
▶	23.4%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	33.6%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	26.0%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
	82.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (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 (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
✓	30.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	14.1%	#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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
	14.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
▶	14.1%	#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)))
	40.3%	#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))

Compiler

Compiled 1 669 to 1 308 computations (21.6% saved)

simplify232.0ms (2%)

Memory

22.4MiB live, 100.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
cost-diff	0	(sin.f64 ky)
cost-diff	0	(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
cost-diff	0	#s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))
cost-diff	0	(sin.f64 ky)
cost-diff	0	(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))))
cost-diff	0	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
cost-diff	0	(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
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	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
cost-diff	6656	(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))
cost-diff	7168	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))

Rules

2 368×	`lower-fma.f32`
2 360×	`lower-fma.f64`
1 854×	`lower-*.f32`
1 838×	`lower-*.f64`
1 092×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	476
0	104	480
1	150	420
2	233	420
3	473	417
4	1234	417
5	2988	417
6	4089	417
7	5091	417
8	5484	417
9	5687	417
10	5783	417
11	5798	417
12	5919	417
13	6176	417
14	6295	417
15	6295	417
16	6295	417
17	6307	417
18	6323	417
19	6323	417
20	6323	417
0	6323	374

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize446.0ms (3.8%)

Memory

-26.1MiB live, 296.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16015625	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
accuracy	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	4.311620054390197	(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
accuracy	13.643302450117915	(-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky)))
accuracy	0.16015625	(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))))
accuracy	0.16015625	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
accuracy	0.24609375	(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx)
accuracy	46.38054745663727	#s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))
accuracy	0.23046875	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
accuracy	3.0339338549297135	(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
accuracy	3.188797958843061	(*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
accuracy	47.22739845832251	#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (*.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0703125	(.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)
accuracy	0.0859375	(fma.f64 (*.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64))
accuracy	32.41093807351718	#s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))
accuracy	44.691370435376406	#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	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	0.28125	(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
accuracy	0.28125	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
accuracy	4.311620054390197	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))

Samples

172.0ms	131×	0	valid
148.0ms	73×	1	valid
56.0ms	52×	2	valid

Compiler

Compiled 408 to 51 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 298.0ms

ival-mult: 114.0ms (38.2% of total)

ival-cos: 62.0ms (20.8% of total)

ival-pow2: 39.0ms (13.1% of total)

ival-div: 20.0ms (6.7% of total)

ival-sin: 20.0ms (6.7% of total)

adjust: 13.0ms (4.4% of total)

ival-add: 10.0ms (3.4% of total)

ival-sqrt: 8.0ms (2.7% of total)

const: 5.0ms (1.7% of total)

ival-pow: 4.0ms (1.3% of total)

ival-sub: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series120.0ms (1%)

Memory

3.6MiB live, 77.3MiB allocated

Counts

26 → 564

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) (patch (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #<representation:binary64>) () ())
#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt #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))) (patch #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))) #<representation:binary64>) () ())
#s(alt #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (patch #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 th th) (patch (.f64 th th) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) (patch (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) (patch (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (patch (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (patch (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) #<representation:binary64>) () ())
#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))) (patch #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky))) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) (patch (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) (patch (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th) #<representation:binary64>) () ())
#s(alt (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (patch (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #<representation:binary64>) () ())

Outputs
#s(alt (pow (sin ky) 2) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (pow kx 2) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2)) (taylor 0 kx) (#s(alt (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) (patch (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) (patch (.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt #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))) (patch #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))) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt #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))) (patch #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))) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt #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))) (patch #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))) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt #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))) (patch #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))) #<representation:binary64>) () ())) ())
#s(alt (sin th) (taylor 0 kx) (#s(alt (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) (patch (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))) (taylor 0 kx) (#s(alt (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) (patch (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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))))))))))) (taylor 0 kx) (#s(alt (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) (patch (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt (+ (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)))))))))))) (taylor 0 kx) (#s(alt (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) (patch (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) #<representation:binary64>) () ())) ())
#s(alt 1 (taylor 0 kx) (#s(alt #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())) ())
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#s(alt (* 1/2 (/ kx (sin ky))) (taylor -inf ky) (#s(alt (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) (patch (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) #<representation:binary64>) () ())) ())
#s(alt (- 1 (cos (neg (* -2 ky)))) (taylor -inf ky) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #<representation:binary64>) () ())) ())
#s(alt (- 1 (cos (neg (* -2 ky)))) (taylor -inf ky) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #<representation:binary64>) () ())) ())
#s(alt (- 1 (cos (neg (* -2 ky)))) (taylor -inf ky) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #<representation:binary64>) () ())) ())
#s(alt (- 1 (cos (neg (* -2 ky)))) (taylor -inf ky) (#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #<representation:binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
46.0ms	ky	@	inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (/ -1 (/ -1 (sin ky))) (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (* (+ (* (* th th) -1/6) 1) th) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (* (/ 1/2 (sin ky)) kx) (- 1 (cos (+ ky ky))))
7.0ms	kx	@	0	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (/ -1 (/ -1 (sin ky))) (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (* (+ (* (* th th) -1/6) 1) th) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (* (/ 1/2 (sin ky)) kx) (- 1 (cos (+ ky ky))))
6.0ms	kx	@	inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (/ -1 (/ -1 (sin ky))) (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (* (+ (* (* th th) -1/6) 1) th) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (* (/ 1/2 (sin ky)) kx) (- 1 (cos (+ ky ky))))
6.0ms	ky	@	-inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (/ -1 (/ -1 (sin ky))) (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (* (+ (* (* th th) -1/6) 1) th) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (* (/ 1/2 (sin ky)) kx) (- 1 (cos (+ ky ky))))
6.0ms	kx	@	-inf	((/ 1 (pow (sin ky) -1)) (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (/ -1 (/ -1 (sin ky))) (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (+ (* (* th th) -1/6) 1) (* th th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (+ (* (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (* kx (/ kx (pow (sin ky) 2))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (pow (sin kx) 2) (* (+ (* (* th th) -1/6) 1) th) (/ kx (pow (sin ky) 2)) (pow (sin ky) 2) (* (/ 1/2 (sin ky)) kx) (- 1 (cos (+ ky ky))))

simplify324.0ms (2.7%)

Memory

31.8MiB live, 263.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 988×	`lower-fma.f64`
10 988×	`lower-fma.f32`
8 940×	`lower-*.f64`
8 940×	`lower-*.f32`
3 764×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	653	11133
1	2057	10728
2	7647	10696
0	8013	9481

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 559

Calls

Call 1

Inputs
(pow (sin ky) 2)
(+ (pow kx 2) (pow (sin ky) 2))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (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))))))))))))
(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 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))))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (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
(+ 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 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 ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 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 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))))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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 (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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))))
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(* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))
1
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(* 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 (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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 (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
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ky
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(+ (* (pow ky 2) (+ 1 (* -1/3 (pow ky 2)))) (pow (sin kx) 2))
(+ (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))) (pow (sin kx) 2))
ky
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(/ (* 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 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 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))))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (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)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (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))
(/ (* 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))))
(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))))
(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))))))
(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))))))
(/ 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 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))))
(* 1/2 (/ kx ky))
(/ (+ (* 1/12 (* kx (pow ky 2))) (* 1/2 kx)) ky)
(/ (+ (* 1/2 kx) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* -1/36 kx) (* 1/120 kx)))) (* 1/12 kx)))) ky)
(/ (+ (* 1/2 kx) (* (pow ky 2) (+ (* 1/12 kx) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (+ (* -1/5040 kx) (+ (* 1/720 kx) (* 1/6 (+ (* -1/36 kx) (* 1/120 kx))))))) (* -1/2 (+ (* -1/36 kx) (* 1/120 kx)))))))) ky)
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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)))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(/ kx (pow (sin ky) 2))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(* 1/2 (/ kx (sin ky)))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))
(- 1 (cos (neg (* -2 ky))))

Outputs
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(+ (pow kx 2) (pow (sin ky) 2))
(hypot.f64 kx (sin.f64 ky))
(+ (* (pow kx 2) (+ 1 (* -1/3 (pow kx 2)))) (pow (sin ky) 2))
(fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+ (* (pow kx 2) (+ 1 (* (pow kx 2) (- (* 2/45 (pow kx 2)) 1/3)))) (pow (sin ky) 2))
(fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (/.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 (sin.f64 th) #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 #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 kx kx) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) (sin.f64 th))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (/.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 (sin.f64 th) #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 #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 kx kx) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (.f64 kx kx) (sin.f64 th))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (/.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 (sin.f64 th) #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 #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 kx kx) (/.f64 (.f64 (sin.f64 th) #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 kx kx) (/.f64 #s(literal -1/2 binary64) (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 (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 #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))))) (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
#s(literal 1 binary64)
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(/ (pow kx 2) (pow (sin ky) 2))
(*.f64 kx (/.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))))
(/ (pow kx 2) (pow (sin ky) 2))
(*.f64 kx (/.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))))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (/.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 (sin.f64 th) #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 #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 kx kx) (/.f64 (.f64 (sin.f64 th) #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 kx kx) (/.f64 #s(literal -1/2 binary64) (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))))))
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(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 ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky)))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(fma.f64 (.f64 (.f64 kx kx) (.f64 (.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (.f64 (sin.f64 ky) kx) kx) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (.f64 (.f64 #s(literal -2 binary64) (sin.f64 ky)) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))))) (.f64 kx kx)))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (sin.f64 th) (sin.f64 ky))) (sqrt.f64 #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))))) (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) (sin.f64 th)) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (/.f64 (sin.f64 th) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 kx kx))) (*.f64 kx kx)))
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 ky) (.f64 (.f64 (.f64 kx kx) (/.f64 (.f64 #s(literal -2 binary64) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 ky) (.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (sin.f64 ky)) (/.f64 (.f64 kx kx) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (/.f64 (.f64 #s(literal -2 binary64) (sin.f64 ky)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))))) (*.f64 kx kx)))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (sqrt.f64 #s(literal 2 binary64))) (sin.f64 ky) (.f64 (fma.f64 (.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64))) (.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64) (+.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64) (/.f64 #s(literal 8/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (/.f64 #s(literal 8/45 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))))) (/.f64 (sin.f64 ky) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 kx kx))) (*.f64 kx kx)))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(fma.f64 (.f64 (.f64 kx kx) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (fma.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 kx kx) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
(fma.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) kx) kx) (/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/3 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2/45 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal -1/2 binary64) #s(literal -1/6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 kx kx) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (.f64 kx kx) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) 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))))))
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th
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1
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ky
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ky
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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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(/ (* 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))))
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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))))))))))))) (/ (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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(/ (* 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))))
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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))))))))))))) (/ (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))))
(fma.f64 (pow.f64 ky #s(literal 3 binary64)) (fma.f64 (fma.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (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 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.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 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))))) (.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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(/ 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 (.f64 ky (.f64 (neg.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))) (+ (* 1/2 (* (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)) (-.f64 (.f64 (+.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 #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)) (-.f64 (.f64 (+.f64 (fma.f64 (-.f64 (fma.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))))) (.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)))))) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (.f64 ky ky) (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 #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)))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))
(/.f64 (fma.f64 (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64)) ky) ky (.f64 #s(literal -1/2 binary64) (.f64 kx kx))) (*.f64 ky ky))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))) (pow ky 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (.f64 (fma.f64 (.f64 (.f64 (.f64 kx kx) #s(literal -1/30 binary64)) ky) ky (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64))) (.f64 ky ky))) (.f64 ky ky))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (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)))))))) (* 1/2 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))) (pow ky 2))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) kx) kx (.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64)))) (.f64 ky ky) (.f64 (.f64 kx kx) #s(literal -1/30 binary64))) (.f64 ky ky) (fma.f64 #s(literal -1/6 binary64) (.f64 kx kx) #s(literal 1 binary64))) (.f64 ky ky))) (*.f64 ky ky))
(/ (pow kx 2) (pow ky 2))
(*.f64 (/.f64 kx ky) (/.f64 kx ky))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 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 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
(/ (* 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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (+ (* (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (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 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.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 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))))) (.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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(/ 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 (.f64 ky (.f64 (neg.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))) (+ (* 1/2 (* (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)) (-.f64 (.f64 (+.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 #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)) (-.f64 (.f64 (+.f64 (fma.f64 (-.f64 (fma.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))))) (.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)))))) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (.f64 ky ky) (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 #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 (*.f64 ky ky) #s(literal 1/120 binary64) #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 (.f64 ky ky) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) (.f64 ky ky) #s(literal -1/6 binary64)) 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 (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))
(/ (* 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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (+ (* (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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal 1/120 binary64) (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (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 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.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 #s(literal -1/240 binary64) (/.f64 (sin.f64 th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (.f64 (sin.f64 th) #s(literal -1/5040 binary64)) (sin.f64 kx))))) (.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 (/.f64 (sin.f64 th) (sin.f64 kx)) #s(literal -1/6 binary64) (/.f64 (.f64 (sin.f64 th) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))) (.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))))
(/ 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 (.f64 ky (.f64 (neg.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))) (+ (* 1/2 (* (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)) (-.f64 (.f64 (+.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 #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)) (-.f64 (.f64 (+.f64 (fma.f64 (-.f64 (fma.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))))) (.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)))))) (+.f64 (/.f64 #s(literal 1/240 binary64) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 #s(literal 1/5040 binary64) (sin.f64 kx)))) (.f64 ky ky) (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 #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)))
(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))))))
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(*.f64 (/.f64 kx (sin.f64 ky)) #s(literal 1/2 binary64))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(- 1 (cos (* 2 ky)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(+ (pow (sin kx) 2) (pow (sin ky) 2))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(fma.f64 (*.f64 kx kx) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) #s(literal 1 binary64))
(/ (pow kx 2) (pow (sin ky) 2))
(*.f64 kx (/.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))))
(/ (pow kx 2) (pow (sin ky) 2))
(*.f64 kx (/.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))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.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) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (sin.f64 ky))
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (*.f64 (sin.f64 th) (sin.f64 ky)))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/ kx (pow (sin ky) 2))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/ kx (pow (sin ky) 2))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/ kx (pow (sin ky) 2))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/ kx (pow (sin ky) 2))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(* 1/2 (/ kx (sin ky)))
(*.f64 (/.f64 kx (sin.f64 ky)) #s(literal 1/2 binary64))
(* 1/2 (/ kx (sin ky)))
(*.f64 (/.f64 kx (sin.f64 ky)) #s(literal 1/2 binary64))
(* 1/2 (/ kx (sin ky)))
(*.f64 (/.f64 kx (sin.f64 ky)) #s(literal 1/2 binary64))
(* 1/2 (/ kx (sin ky)))
(*.f64 (/.f64 kx (sin.f64 ky)) #s(literal 1/2 binary64))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(- 1 (cos (neg (* -2 ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))

rewrite103.0ms (0.9%)

Memory

-29.7MiB live, 94.8MiB allocated

Rules

938×	`lower-*.f32`
922×	`lower-*.f64`
818×	`lower-fma.f32`
810×	`lower-fma.f64`
728×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	359
0	104	323
1	327	315
0	1804	279

Stop Event

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

Counts

26 → 310

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (sin.f64 ky)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sin.f64 ky)))
(sin.f64 ky)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(pow.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (pow.f64 (sin.f64 ky) #s(literal 3 binary64)))) (sqrt.f64 (-.f64 (hypot.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (pow.f64 (*.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 2 binary64)))))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 kx))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(pow.f64 (exp.f64 (log.f64 (sin.f64 kx))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 kx kx)) (cos.f64 (+.f64 kx kx))) #s(literal 2 binary64))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))
(exp.f64 (*.f64 (log.f64 (sin.f64 kx)) #s(literal 2 binary64)))
(.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) th)
(.f64 th (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 2 binary64)) #s(literal 1 binary64)) th) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 th th) #s(literal 3 binary64)) #s(literal 1 binary64)) th) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th th))))
(/.f64 (.f64 th (-.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal -1 binary64)))
(/.f64 (.f64 th (fma.f64 #s(literal -1/216 binary64) (pow.f64 (.f64 th th) #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 #s(literal -1/6 binary64) (.f64 th th))))
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) th (*.f64 #s(literal 1 binary64) th))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) (*.f64 th #s(literal 1 binary64)))
(fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(fma.f64 #s(literal 1 binary64) th (.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) th))
(+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) th) (.f64 #s(literal 1 binary64) th))
(+.f64 (.f64 #s(literal 1 binary64) th) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) th))
(+.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th #s(literal 1 binary64)))
(+.f64 (.f64 th #s(literal 1 binary64)) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal -2 binary64)) kx)
(*.f64 (neg.f64 kx) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 kx (pow.f64 (sin.f64 ky) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) #s(literal -1 binary64))
(/.f64 (*.f64 kx #s(literal 1 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (/.f64 kx (sin.f64 ky)) (sin.f64 ky))
(/.f64 (neg.f64 (neg.f64 kx)) (neg.f64 (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(/.f64 (neg.f64 kx) (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) kx))
(neg.f64 (/.f64 (neg.f64 kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(neg.f64 (/.f64 kx (neg.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(*.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(pow.f64 (exp.f64 (log.f64 (sin.f64 ky))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (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 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -2 binary64))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) kx) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) kx))
(*.f64 #s(literal 1/2 binary64) (/.f64 kx (sin.f64 ky)))
(*.f64 kx (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)))
(/.f64 (.f64 #s(literal 1 binary64) kx) (.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (.f64 kx #s(literal 1 binary64)) (.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 (*.f64 kx #s(literal -1/2 binary64)) (neg.f64 (sin.f64 ky)))
(/.f64 (*.f64 #s(literal -1/2 binary64) kx) (neg.f64 (sin.f64 ky)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) kx)) (neg.f64 (sin.f64 ky)))
(/.f64 (*.f64 #s(literal 1/2 binary64) kx) (sin.f64 ky))
(/.f64 kx (*.f64 (sin.f64 ky) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (*.f64 #s(literal 1/2 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky))) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (-.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky))) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64))) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)))))
(fma.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 ky) #s(literal 2 binary64))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(+.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky))))

eval225.0ms (1.9%)

Memory: 45.6MiB live, 227.9MiB allocated
Compiler: Compiled 24 211 to 2 806 computations (88.4% saved)

prune225.0ms (1.9%)

Memory

-12.6MiB live, 227.3MiB allocated

Pruning

62 alts after pruning (58 fresh and 4 done)

	Pruned	Kept	Total
New	1 032	31	1 063
Fresh	9	27	36
Picked	3	2	5
Done	0	2	2
Total	1 044	62	1 106

Accuracy

100.0%

Counts

1 106 → 62

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
	43.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
	84.7%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
	45.6%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
	84.5%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	40.5%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	30.1%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
	36.7%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
	39.1%	(.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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)))))
	45.4%	(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal 1/4 binary64))))
	45.6%	(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
✓	84.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	74.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	47.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	37.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	46.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
	74.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	92.9%	(*.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))
	82.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(literal 2 binary64))))) (sin.f64 th))
	40.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	74.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
	35.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	35.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	29.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	20.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	29.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	40.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	41.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	37.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
	36.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
	30.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
▶	31.9%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	43.6%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	84.6%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 th))
▶	45.5%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
▶	84.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	15.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	24.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	11.5%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	13.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	14.3%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
▶	13.5%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	21.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	27.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	33.6%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	3.3%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
	26.0%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
	82.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
	31.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	18.1%	#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
✓	30.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	14.1%	#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))))))
	14.1%	#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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
	14.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
✓	14.1%	#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)))
	7.3%	#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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) th) th)) th)))
	11.9%	#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)))
▶	14.4%	#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)))
	11.9%	#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)))))
	40.3%	#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
	31.7%	#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))

Compiler

Compiled 2 334 to 1 865 computations (20.1% saved)

simplify208.0ms (1.8%)

Memory

-2.4MiB live, 208.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f64 ky)
cost-diff	0	(neg.f64 (sin.f64 ky))
cost-diff	0	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
cost-diff	448	(.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))
cost-diff	0	#s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
cost-diff	0	(sin.f64 ky)
cost-diff	0	(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
cost-diff	0	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
cost-diff	0	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
cost-diff	640	(fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky)))
cost-diff	704	(fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (*.f64 kx kx) #s(literal -1/45 binary64)))
cost-diff	768	(fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64)))
cost-diff	0	#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
cost-diff	0	(.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)
cost-diff	0	#s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #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 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)))
cost-diff	0	(sin.f64 th)
cost-diff	0	(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
cost-diff	0	(sin.f64 ky)
cost-diff	0	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))

Rules

12 698×	`lower-fma.f32`
12 684×	`lower-fma.f64`
4 274×	`lower-*.f32`
4 244×	`lower-*.f64`
2 964×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	830
0	134	777
1	221	767
2	417	727
3	1212	727
4	3163	706
5	6912	706
0	8105	674

Stop Event

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

Calls

Call 1

Inputs
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sin.f64 th)
th
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#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 th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th))
(.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)
#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
th
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (*.f64 kx kx))
(fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky)))
(*.f64 #s(literal 1/3 binary64) kx)
#s(literal 1/3 binary64)
kx
(.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))
(fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64)))
(*.f64 (neg.f64 ky) ky)
(neg.f64 ky)
ky
(fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (*.f64 kx kx) #s(literal -1/45 binary64)))
(*.f64 kx kx)
#s(literal 11/945 binary64)
(.f64 (.f64 kx kx) #s(literal -1/45 binary64))
#s(literal -1/45 binary64)
(.f64 (.f64 kx kx) #s(literal 1/15 binary64))
#s(literal 1/15 binary64)
(*.f64 ky ky)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(sin.f64 ky)
ky
#s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
(sin.f64 th)
th
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))
(neg.f64 (sin.f64 ky))
(sin.f64 ky)
ky
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
#s(literal -1 binary64)
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))
(sin.f64 kx)
kx
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(*.f64 ky ky)
(sin.f64 th)
th

Outputs
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)))))
(sin.f64 ky)
ky
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)))))
(sin.f64 th)
th
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)) (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
#s(literal 1/2 binary64)
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(sin.f64 kx)
kx
#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 th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th))
(.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)
#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
th
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(literal -1/2 binary64) #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal 1 binary64))) (sin.f64 th))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(literal -1/2 binary64) #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal 1 binary64)))
(fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal 1 binary64))
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)))
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky)))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
(/.f64 (fma.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))
(fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (*.f64 kx kx))
(fma.f64 (.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64))) (.f64 ky ky) (.f64 kx kx))
(fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky)))
(.f64 (.f64 kx kx) (fma.f64 (.f64 ky ky) (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) kx)
#s(literal 1/3 binary64)
kx
(.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))
(.f64 (.f64 ky ky) (.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) (*.f64 kx kx)))
(fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64)))
(.f64 (fma.f64 #s(literal 2/189 binary64) (.f64 ky ky) #s(literal 1/15 binary64)) (*.f64 kx kx))
(*.f64 (neg.f64 ky) ky)
(neg.f64 ky)
ky
(fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (*.f64 kx kx) #s(literal -1/45 binary64)))
(.f64 #s(literal -2/189 binary64) (.f64 kx kx))
(*.f64 kx kx)
#s(literal 11/945 binary64)
(.f64 (.f64 kx kx) #s(literal -1/45 binary64))
(.f64 #s(literal -1/45 binary64) (.f64 kx kx))
#s(literal -1/45 binary64)
(.f64 (.f64 kx kx) #s(literal 1/15 binary64))
(.f64 #s(literal 1/15 binary64) (.f64 kx kx))
#s(literal 1/15 binary64)
(*.f64 ky ky)
#s(literal -1/2 binary64)
#s(literal 1 binary64)
(sin.f64 th)
th
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))))
(sin.f64 ky)
ky
#s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
#s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
#s(literal 1 binary64)
(cos.f64 (*.f64 #s(literal 2 binary64) ky))
(*.f64 #s(literal 2 binary64) ky)
#s(literal 2 binary64)
(sin.f64 th)
th
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))
(/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
(neg.f64 (sin.f64 ky))
(sin.f64 ky)
ky
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
#s(literal -1 binary64)
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))
(sin.f64 kx)
kx
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(*.f64 ky ky)
(sin.f64 th)
th

localize437.0ms (3.7%)

Memory

-33.4MiB live, 621.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
accuracy	0.34375	(.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))
accuracy	4.311620054390197	(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
accuracy	30.973855850720785	#s(approx (pow (sin ky) 2) (*.f64 ky ky))
accuracy	0.4785538086106521	(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
accuracy	13.643302450117915	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
accuracy	16.281688573111403	(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
accuracy	35.47542819680434	#s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
accuracy	14.096955318345762	(fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (*.f64 kx kx) #s(literal -1/45 binary64)))
accuracy	23.32221180208032	#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)))
accuracy	24.09803243488368	(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
accuracy	47.22739845832251	#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
accuracy	0.0703125	(.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)
accuracy	32.41093807351718	#s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th))
accuracy	33.20384885464271	#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
accuracy	44.691370435376406	#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)))
accuracy	0.24123002930532603	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
accuracy	0.24609375	(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
accuracy	4.311620054390197	(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
accuracy	13.643302450117915	(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))

Samples

130.0ms	64×	1	valid
105.0ms	49×	2	valid
91.0ms	131×	0	valid
30.0ms	12×	3	valid

Compiler

Compiled 582 to 82 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 306.0ms

ival-cos: 80.0ms (26.2% of total)

ival-mult: 54.0ms (17.7% of total)

ival-sqrt: 41.0ms (13.4% of total)

const: 24.0ms (7.9% of total)

adjust: 23.0ms (7.5% of total)

ival-div: 22.0ms (7.2% of total)

ival-sin: 20.0ms (6.5% of total)

ival-add: 18.0ms (5.9% of total)

ival-pow2: 10.0ms (3.3% of total)

ival-sub: 5.0ms (1.6% of total)

ival-pow: 4.0ms (1.3% of total)

ival-neg: 2.0ms (0.7% of total)

exact: 1.0ms (0.3% of total)

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

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

series118.0ms (1%)

Memory

2.8MiB live, 157.1MiB allocated

Counts

29 → 624

Calls

Call 1

Inputs
#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (patch (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) #<representation:binary64>) () ())
#s(alt (sin.f64 ky) (patch (sin.f64 ky) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #<representation:binary64>) () ())
#s(alt (sin.f64 th) (patch (sin.f64 th) #<representation:binary64>) () ())
#s(alt #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))) (patch #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))) #<representation:binary64>) () ())
#s(alt #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)) (patch #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th) (patch (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th) #<representation:binary64>) () ())
#s(alt #s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64)) (patch #s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64)) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (patch (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (patch (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) #<representation:binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (patch (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) #<representation:binary64>) () ())
#s(alt (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) (patch (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) (patch (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (patch (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #<representation:binary64>) () ())
#s(alt #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (patch #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #<representation:binary64>) () ())
#s(alt (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))) (patch (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))) #<representation:binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))) (sin.f64 th)) (patch (.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))) (sin.f64 th)) #<representation:binary64>) () ())
#s(alt (neg.f64 (sin.f64 ky)) (patch (neg.f64 (sin.f64 ky)) #<representation:binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (patch (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (patch (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) #<representation:binary64>) () ())
#s(alt (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (patch (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #<representation:binary64>) () ())
#s(alt #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (patch #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #<representation:binary64>) () ())
#s(alt (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) (patch (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)) #<representation:binary64>) () ())
#s(alt #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) (patch #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (patch (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #<representation:binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (patch (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) #<representation:binary64>) () ())
#s(alt #s(approx (pow (sin ky) 2) (.f64 ky ky)) (patch #s(approx (pow (sin ky) 2) (.f64 ky ky)) #<representation:binary64>) () ())
#s(alt (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) (patch (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #<representation:binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) #<representation:binary64>) () ())

Outputs
#s(alt (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (taylor 0 kx) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (patch (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (taylor 0 kx) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (patch (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) (taylor 0 kx) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (patch (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))))) (taylor 0 kx) (#s(alt (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (patch (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) #<representation:binary64>) () ())) ())
#s(alt (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* -2 (* (/ (* (pow kx 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
#s(alt (+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky))))))))) (taylor 0 kx) (#s(alt (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (patch (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #<representation:binary64>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
22.0ms	th	@	0	((* (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))))) (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (sin th)) (neg (sin ky)) (- 1 (cos (* 2 ky))) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (pow (sin kx) 2) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (sqrt (- 1 (cos (* 2 ky)))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (pow (sin ky) 2) (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))))
18.0ms	ky	@	-inf	((* (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))))) (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (sin th)) (neg (sin ky)) (- 1 (cos (* 2 ky))) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (pow (sin kx) 2) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (sqrt (- 1 (cos (* 2 ky)))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (pow (sin ky) 2) (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))))
7.0ms	ky	@	inf	((* (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))))) (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (sin th)) (neg (sin ky)) (- 1 (cos (* 2 ky))) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (pow (sin kx) 2) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (sqrt (- 1 (cos (* 2 ky)))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (pow (sin ky) 2) (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))))
6.0ms	kx	@	inf	((* (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))))) (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (sin th)) (neg (sin ky)) (- 1 (cos (* 2 ky))) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (pow (sin kx) 2) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (sqrt (- 1 (cos (* 2 ky)))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (pow (sin ky) 2) (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))))
6.0ms	kx	@	0	((* (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))))) (sin ky) (/ (sin th) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (sin th) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin th) (* (+ (* (* th th) -1/6) 1) th) (+ (* (* th th) -1/6) 1) (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45)) (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (* (* (neg (sin ky)) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))))) (sin th)) (neg (sin ky)) (- 1 (cos (* 2 ky))) (sqrt (+ (* (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (pow (sin kx) 2) (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (* kx (/ kx (pow (sin ky) 2))) (sqrt (- 1 (cos (* 2 ky)))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (pow (sin ky) 2) (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (/ -1 (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2)))))

simplify315.0ms (2.7%)

Memory

18.1MiB live, 326.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 118×	`lower-fma.f64`
8 118×	`lower-fma.f32`
6 396×	`lower-*.f64`
6 396×	`lower-*.f32`
5 248×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	795	14166
1	2576	13597
2	6549	13428
0	8160	12237

Stop Event

1×	iter limit
1×	node limit

Counts

624 → 620

Calls

Call 1

Inputs
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin th) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin th) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 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))))))))))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow 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))))))))))))
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(+ (* -2 (* (/ (* (pow kx 2) (sin ky)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
(+ (* (* (sin ky) (sqrt 2)) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (sin ky) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (* (sin ky) (+ (* -2 (/ (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3))))) (* (pow (sqrt 2) 2) (- 1 (cos (* 2 ky)))))) (+ (* 8/45 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (+ (* 2 (/ (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (- 1 (cos (* 2 ky))))) (* 8/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))) (* 1/2 (* (/ (* (sin ky) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
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))))))))))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(+ (* 1/2 (* (/ (pow kx 2) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* -1/2 (* (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))
(+ (* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky))))) (* (pow kx 2) (+ (* 1/2 (* (/ 1 (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* (pow kx 2) (+ (* -1/2 (* (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))) (* 1/2 (* (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky))))))) (* (pow (sqrt 1/2) 2) (- 1 (cos (* 2 ky)))))))) (sqrt 1/2)) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))))))))
(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))))
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) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (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))))))
(/ -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 th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* (pow kx 2) (+ 1/15 (* 2/189 (pow ky 2))))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* -2/189 (pow kx 2))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (pow kx 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (* (pow kx 2) (+ 1 (* (pow ky 2) (+ 1/3 (* (pow ky 2) (+ 1/15 (* 2/189 (pow ky 2)))))))) (pow ky 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))))
(* th (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* th (+ (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))
(* th (+ (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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))))
(* (* 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))))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
1
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 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))))))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sin th)
(sin th)
(sin th)
(sin th)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(sin th)
(sin th)
(sin th)
(* -1/6 (pow th 3))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 3) (- (/ 1 (pow th 2)) 1/6))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sin th)
(sin th)
(sin th)
(sin th)
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(sin th)
(sin th)
(sin th)
(sin th)
(* -1/6 (pow th 3))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))
(* -1/6 (pow th 2))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (pow th 2) (- (/ 1 (pow th 2)) 1/6))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (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 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 (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))))
(* 1/15 (pow kx 2))
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))
(* 1/3 (pow kx 2))
(+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2)))
(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))
(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 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 (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))))
(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 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 ky)
(* ky (- (* 1/6 (pow ky 2)) 1))
(* ky (- (* (pow ky 2) (+ 1/6 (* -1/120 (pow ky 2)))) 1))
(* ky (- (* (pow ky 2) (+ 1/6 (* (pow ky 2) (- (* 1/5040 (pow ky 2)) 1/120)))) 1))
(* 2 (pow ky 2))
(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* 4/45 (pow ky 2)) 2/3))))
(* (pow ky 2) (+ 2 (* (pow ky 2) (- (* (pow ky 2) (+ 4/45 (* -2/315 (pow ky 2)))) 2/3))))
(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 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))))
(/ (pow kx 2) (pow ky 2))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
(/ (+ (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))) (pow kx 2)) (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))
(* ky (sqrt 2))
(* ky (+ (sqrt 2) (* -1/3 (/ (pow ky 2) (sqrt 2)))))
(* ky (+ (sqrt 2) (* (pow ky 2) (- (* 1/2 (/ (* (pow ky 2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/3 (/ 1 (sqrt 2)))))))
(* ky (+ (sqrt 2) (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))
(* ky (* (sqrt 1/2) (sqrt 2)))
(* ky (+ (* -1/3 (/ (* (pow ky 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
(* ky (+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))
(* ky (+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 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))))
(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 (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 ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (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 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))))
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* -1 (* (pow ky 4) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4))))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (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 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (* (pow ky 4) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4))))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (+ (* 1/3 (/ (pow kx 2) (pow ky 4))) (/ (pow kx 2) (pow ky 6))))))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(sqrt (- 1 (cos (* 2 ky))))
(sqrt (- 1 (cos (* 2 ky))))
(sqrt (- 1 (cos (* 2 ky))))
(sqrt (- 1 (cos (* 2 ky))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (sin th) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (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 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))))
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 2) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* -1 (* (pow ky 4) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4))))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (neg (* -2 ky))))) (pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (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)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (* (sin ky) (sin th)) (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 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(* -1 (sin ky))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(- 1 (cos (* 2 ky)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))
(sqrt (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 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)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (* (pow ky 4) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (* 1/15 (/ (pow kx 2) (pow ky 2)))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (* 1/3 (/ (pow kx 2) (pow ky 4))))))
(* (pow ky 4) (+ (* -1 (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2)))) (+ (* 1/15 (/ (pow kx 2) (pow ky 2))) (+ (* 1/3 (/ (pow kx 2) (pow ky 4))) (/ (pow kx 2) (pow ky 6))))))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(/ (pow kx 2) (pow (sin ky) 2))
(sqrt (- 1 (cos (* 2 ky))))
(sqrt (- 1 (cos (* 2 ky))))
(sqrt (- 1 (cos (* 2 ky))))
(sqrt (- 1 (cos (* 2 ky))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(pow (sin ky) 2)
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))

Outputs
(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky)))
(+ (* -2 (* (/ (* (pow kx 2) (* (sin ky) (sin th))) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))))
(fma.f64 (.f64 #s(literal -2 binary64) (/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (.f64 kx kx)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(+ (* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky)))))) (* (pow kx 2) (+ (* -2 (* (/ (* (sin ky) (sin th)) (sqrt 2)) (sqrt (/ 1 (pow (- 1 (cos (* 2 ky))) 3))))) (* 1/2 (* (/ (* (pow kx 2) (* (sin ky) (* (sin th) (- (+ (* 4/3 (/ 1 (pow (- 1 (cos (* 2 ky))) 2))) (* 8 (/ 1 (pow (- 1 (cos (* 2 ky))) 3)))) (* 4 (/ 1 (* (pow (sqrt 2) 2) (pow (- 1 (cos (* 2 ky))) 3)))))))) (sqrt 2)) (sqrt (- 1 (cos (* 2 ky)))))))))
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(* (* (sin ky) (* (sin th) (sqrt 2))) (sqrt (/ 1 (- 1 (cos (* 2 ky))))))
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(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
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1
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(sin th)
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* (pow th 2) (+ (* -1/5040 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))))
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(* th (+ (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
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(* 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))))))))))
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(* 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 (+ (* (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))))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
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(* th (+ (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))) (* 1/120 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2))))))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* 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))))))))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (* 1/2 (- 1 (cos (* 2 ky)))) (pow (sin kx) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 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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ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
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(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
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(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
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(/ (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)))
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(+ (* (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)))
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(+ (* (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)))
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(/ (* 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))))
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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))))))))))))) (/ (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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(* 1/15 (pow kx 2))
(.f64 #s(literal 1/15 binary64) (.f64 kx kx))
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))
(fma.f64 (.f64 #s(literal 2/189 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 #s(literal 1/15 binary64) (*.f64 kx kx)))
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))
(fma.f64 (.f64 #s(literal 2/189 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 #s(literal 1/15 binary64) (*.f64 kx kx)))
(+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))
(fma.f64 (.f64 #s(literal 2/189 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 #s(literal 1/15 binary64) (*.f64 kx kx)))
(* 1/3 (pow kx 2))
(.f64 #s(literal 1/3 binary64) (.f64 kx kx))
(+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2)))
(fma.f64 (.f64 (.f64 ky kx) (.f64 ky kx)) #s(literal 1/15 binary64) (.f64 #s(literal 1/3 binary64) (*.f64 kx kx)))
(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/189 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) (.f64 kx kx)))
(+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 2/189 binary64) (.f64 kx kx)) (.f64 ky ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) (.f64 kx 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))))
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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))))))))))))) (/ (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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(/ (* 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))))
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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))))))))))))) (/ (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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(/ 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))))
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(* 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))))
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(* 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))))
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(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (*.f64 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 (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (.f64 ky (/.f64 ky (sin.f64 kx)))) #s(literal -1/2 binary64) (/.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))
(/ 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))))
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(* 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))))
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(* 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))))
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(/ (* 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))))
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(* 2 (pow ky 2))
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(* (pow ky 2) (+ 2 (* -2/3 (pow ky 2))))
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(sin kx)
(sin.f64 kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
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(* 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))))
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(* 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))))
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(/ (pow kx 2) (pow ky 2))
(*.f64 (/.f64 kx ky) (/.f64 kx ky))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
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(/ (+ (* (pow ky 2) (+ (* 1/15 (* (pow kx 2) (pow ky 2))) (* 1/3 (pow kx 2)))) (pow kx 2)) (pow ky 2))
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(/ (+ (* (pow ky 2) (+ (* 1/3 (pow kx 2)) (* (pow ky 2) (+ (* -1 (* (pow ky 2) (+ (* -1/45 (pow kx 2)) (* 11/945 (pow kx 2))))) (* 1/15 (pow kx 2)))))) (pow kx 2)) (pow ky 2))
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(/ (pow kx 2) (pow ky 2))
(*.f64 (/.f64 kx ky) (/.f64 kx ky))
(/ (+ (* 1/3 (* (pow kx 2) (pow ky 2))) (pow kx 2)) (pow ky 2))
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(/ (+ (* (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))
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(/ (+ (* (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))
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(* ky (sqrt 2))
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(* ky (+ (sqrt 2) (* -1/3 (/ (pow ky 2) (sqrt 2)))))
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(* ky (+ (sqrt 2) (* (pow ky 2) (- (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2))))) (sqrt 2))) (* 1/2 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (sqrt 2))))) (* 1/3 (/ 1 (sqrt 2)))))))
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(* ky (* (sqrt 1/2) (sqrt 2)))
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(* ky (+ (* -1/3 (/ (* (pow ky 2) (sqrt 1/2)) (sqrt 2))) (* (sqrt 1/2) (sqrt 2))))
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(* ky (+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* 1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))))) (sqrt 2)))))))
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(* ky (+ (* (sqrt 1/2) (sqrt 2)) (* (pow ky 2) (+ (* -1/3 (/ (sqrt 1/2) (sqrt 2))) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (* (sqrt 1/2) (+ 2/315 (* -1/3 (/ (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2)))) (pow (sqrt 2) 2)))))) (sqrt 2))) (* 1/2 (/ (* (sqrt 1/2) (- 4/45 (* 1/9 (/ 1 (pow (sqrt 2) 2))))) (sqrt 2)))))))))
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(pow ky 2)
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(sin kx)
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(+ (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))))))
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(/ -1 (sin kx))
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(- (* 1/2 (/ (pow ky 2) (pow (sin kx) 3))) (/ 1 (sin kx)))
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(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(* (sqrt 1/2) (sqrt (- 1 (cos (* 2 ky)))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow (sin ky) 2)
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))
(sqrt.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
(* -1 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))

rewrite173.0ms (1.5%)

Memory

1.0MiB live, 203.4MiB allocated

Rules

1 918×	`lower-fma.f32`
1 904×	`lower-fma.f64`
1 820×	`lower-*.f32`
1 790×	`lower-*.f64`
1 058×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	603
0	134	553
1	464	551
0	2867	535

Stop Event

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

Counts

29 → 298

Calls

Call 1

Inputs
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(sin.f64 ky)
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(sin.f64 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 th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th))
(.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)
#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
(fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64)))
(fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (*.f64 kx kx) #s(literal -1/45 binary64)))
(fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (*.f64 ky ky)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (sin.f64 ky) #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
#s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(neg.f64 (sin.f64 ky))
(-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))
(sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
#s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))
#s(approx (* kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))

Outputs
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky))
(.f64 (sin.f64 th) (.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 ky)))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (.f64 (neg.f64 (sin.f64 th)) (sin.f64 ky)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (.f64 (sin.f64 ky) (neg.f64 (sin.f64 th))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (.f64 (sin.f64 th) (sin.f64 ky))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))))
(sin.f64 ky)
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (sin.f64 ky)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (sin.f64 th))
(.f64 (neg.f64 (sin.f64 th)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (sin.f64 th) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) #s(literal -1 binary64))
(/.f64 (.f64 (sin.f64 th) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 th))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (sin.f64 th)) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)))
(/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (neg.f64 (sin.f64 th)) (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(neg.f64 (/.f64 (sin.f64 th) (neg.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))))
(sin.f64 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 th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th))
(.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)
(.f64 th #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)))
#s(approx (+ (* (* th th) -1/6) 1) #s(literal 1 binary64))
(.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) #s(literal 2 binary64)) (.f64 #s(literal 1/225 binary64) (pow.f64 kx #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal -1/15 binary64) (*.f64 kx kx)))))
(.f64 (fma.f64 #s(literal 1/3375 binary64) (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))))))
(/.f64 (-.f64 (.f64 #s(literal 1/225 binary64) (pow.f64 kx #s(literal 4 binary64))) (pow.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal 1/15 binary64) (.f64 kx kx)) (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (*.f64 kx kx)) ky) (neg.f64 ky))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) #s(literal 2 binary64)) (.f64 #s(literal 1/225 binary64) (pow.f64 kx #s(literal 4 binary64))))) (neg.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal -1/15 binary64) (.f64 kx kx)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/3375 binary64) (pow.f64 kx #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) #s(literal 3 binary64)))) (neg.f64 (-.f64 (hypot.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky)) (.f64 #s(literal 1/15 binary64) (*.f64 kx kx))))))
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(/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx))) (*.f64 (neg.f64 ky) ky))
(/.f64 (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (.f64 ky ky) (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (*.f64 kx kx)))))
(/.f64 #s(literal 1 binary64) (/.f64 ky (/.f64 (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 ky ky) (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (*.f64 kx kx))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 ky ky) (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (*.f64 kx kx))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx))) (*.f64 ky ky)))
(neg.f64 (/.f64 (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 (neg.f64 ky) ky)))
#s(approx (* kx (/ kx (pow (sin ky) 2))) (.f64 (pow.f64 ky #s(literal -2 binary64)) (fma.f64 (fma.f64 (.f64 ky ky) (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (*.f64 kx kx))))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/4 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (*.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))
(exp.f64 (.f64 (log1p.f64 (neg.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
#s(approx (pow (sin ky) 2) (*.f64 ky ky))
(.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal 1/4 binary64)))
(pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(/.f64 (sqrt.f64 (hypot.f64 (pow.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (-.f64 #s(approx (pow (sin ky) 2) (*.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))))
(sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal -1/2 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))))
(pow.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))))
(neg.f64 (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal -1/2 binary64)))

eval205.0ms (1.7%)

Memory: 40.9MiB live, 343.2MiB allocated
Compiler: Compiled 30 931 to 3 058 computations (90.1% saved)

prune128.0ms (1.1%)

Memory

-20.0MiB live, 385.9MiB allocated

Pruning

77 alts after pruning (73 fresh and 4 done)

	Pruned	Kept	Total
New	1 015	26	1 041
Fresh	6	47	53
Picked	4	1	5
Done	1	3	4
Total	1 026	77	1 103

Accuracy

100.0%

Counts

1 103 → 77

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
	43.7%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
	31.8%	(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
	84.7%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
	45.6%	(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
	32.0%	(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
	84.7%	(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)))
	31.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
	30.1%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
	36.7%	(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
	31.9%	(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	45.4%	(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal 1/4 binary64))))
	74.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
	47.0%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	37.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
	46.9%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
	74.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
✓	92.9%	(*.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))
	82.8%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(literal 2 binary64))))) (sin.f64 th))
	40.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	35.5%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	35.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	29.7%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	20.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	29.6%	(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
	40.7%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
	41.1%	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
	37.7%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
	36.8%	(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
	30.5%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
	16.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	12.3%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
	16.4%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
	32.0%	(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	43.6%	(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
	84.6%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 th))
	32.0%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
	30.1%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (sin.f64 th))
	36.7%	(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
	52.0%	(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
	84.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	74.8%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
	32.0%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
	31.9%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
	36.7%	(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
	43.4%	(.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
	43.2%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) th)))
	31.9%	(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
	15.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	24.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	13.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	13.7%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	14.3%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	7.1%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
	21.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	11.3%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	27.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	15.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	14.6%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
	33.6%	(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
	3.3%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
	26.0%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
	82.2%	(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
	31.9%	(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
	18.1%	#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
✓	30.2%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
	14.1%	#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))))))
	14.1%	#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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
	14.1%	#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 (fma.f64 (fma.f64 #s(literal 1/120 binary64) (.f64 th th) #s(literal -1/6 binary64)) (*.f64 th th) #s(literal 1 binary64)) th)))
✓	14.1%	#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)))
	7.3%	#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) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 th th)) #s(literal 1/6 binary64)) th) th)) th)))
	11.9%	#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)))
✓	14.4%	#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)))
	11.9%	#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)))))
	40.3%	#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
	25.9%	#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
	31.7%	#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))

Compiler

Compiled 4 123 to 1 905 computations (53.8% saved)

regimes400.0ms (3.4%)

Memory

24.3MiB live, 773.1MiB allocated

Counts

125 → 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
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(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sqrt.f64 (sin.f64 kx)) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal -1/2 binary64)) #s(literal -2 binary64)) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal -1 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (exp.f64 (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (exp.f64 (.f64 (log.f64 (sqrt.f64 (sin.f64 ky))) #s(literal 2 binary64))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (.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))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (.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))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))) #s(literal 1/4 binary64))) (/.f64 (sin.f64 ky) (pow.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky))) #s(literal 1/4 binary64))))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 3 binary64))) (fma.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) (+.f64 (cos.f64 (.f64 #s(literal 2 binary64) ky)) #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (/.f64 (sin.f64 ky) (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))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (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 (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (sin.f64 ky) (sin.f64 kx)))) (sqrt.f64 (-.f64 (sin.f64 kx) (sin.f64 ky))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (/.f64 (pow.f64 (sin.f64 kx) #s(literal 3 binary64)) (+.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 (sin.f64 kx) (-.f64 (sin.f64 kx) (sin.f64 ky))) (neg.f64 (/.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (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 (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))

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

Calls

9 calls:

51.0ms	(sin.f64 th)
51.0ms	kx
48.0ms	ky
45.0ms	(*.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))
44.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
92.9%	1	`kx`
94.9%	2	`ky`
92.9%	1	`th`
96.4%	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))`
96.5%	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)))))`
92.9%	1	`(sin.f64 ky)`
92.9%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
92.9%	1	`(sin.f64 kx)`
92.9%	1	`(sin.f64 th)`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes70.0ms (0.6%)

Memory

7.8MiB live, 160.8MiB allocated

Counts

105 → 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
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(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))
(/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

Outputs

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

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

Calls

2 calls:

32.0ms

(*.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

(/.f64 (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
93.3%	4	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
95.9%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 29 to 24 computations (17.2% saved)

regimes37.0ms (0.3%)

Memory

-10.6MiB live, 73.3MiB allocated

Counts

98 → 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(.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 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 ky #s(literal 2 binary64))) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (-.f64 (fma.f64 (sin.f64 ky) (sin.f64 ky) #s(literal 1/2 binary64)) (.f64 (cos.f64 (*.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th))

Outputs

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

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

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
95.9%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes31.0ms (0.3%)

Memory

-6.5MiB live, 70.5MiB allocated

Counts

91 → 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
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(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))

Outputs

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

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

Calls

1 calls:

26.0ms

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

Results

Accuracy	Segments	Branch
95.9%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes252.0ms (2.1%)

Memory

-28.6MiB live, 389.6MiB 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(.f64 (sin.f64 ky) (/.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(.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 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.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 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (+.f64 ky ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))

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

Calls

8 calls:

48.0ms	th
40.0ms	ky
30.0ms	kx
27.0ms	(sin.f64 kx)
26.0ms	(sin.f64 th)

Results

Accuracy	Segments	Branch
92.9%	2	`kx`
92.9%	3	`(sin.f64 kx)`
81.0%	2	`th`
92.9%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
81.1%	3	`(sin.f64 th)`
94.7%	4	`(sin.f64 ky)`
94.6%	3	`ky`
96.3%	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 26 to 38 computations (-46.2% saved)

regimes29.0ms (0.2%)

Memory

25.7MiB live, 61.9MiB 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))

Outputs
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (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
96.3%	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 13 to 11 computations (15.4% saved)

regimes239.0ms (2%)

Memory

5.4MiB live, 399.9MiB allocated

Counts

83 → 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
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(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
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(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
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(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) th) (.f64 (fma.f64 #s(literal -1/6 binary64) (.f64 th th) #s(literal 1 binary64)) (sin.f64 ky))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (fma.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))

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

Calls

8 calls:

46.0ms	kx
36.0ms	(sin.f64 ky)
29.0ms	(sin.f64 kx)
27.0ms	ky
25.0ms	th

Results

Accuracy	Segments	Branch
68.0%	2	`th`
72.1%	5	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`
74.4%	3	`(sin.f64 kx)`
76.0%	4	`(sin.f64 ky)`
74.4%	2	`kx`
74.4%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
75.9%	3	`ky`
84.8%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 40 to 47 computations (-17.5% saved)

regimes30.0ms (0.3%)

Memory

-15.8MiB live, 66.6MiB allocated

Counts

79 → 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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))

Outputs
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (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
84.8%	5	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes52.0ms (0.4%)

Memory

10.6MiB live, 127.1MiB allocated

Counts

78 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) kx) kx (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 kx) #s(literal 2 binary64))) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))

Outputs

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

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

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

Calls

2 calls:

26.0ms	(sin.f64 th)
21.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
60.6%	4	`(sin.f64 th)`
77.5%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes27.0ms (0.2%)

Memory

-13.8MiB live, 61.2MiB allocated

Counts

73 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)) (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 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
#s(approx (* (/ (/ -1 (/ -1 (sin ky))) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (sin th)) (.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 ky))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (.f64 ky ky)))))

Outputs

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

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

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

Calls

1 calls:

21.0ms

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

Results

Accuracy	Segments	Branch
77.5%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes22.0ms (0.2%)

Memory

18.3MiB live, 55.6MiB allocated

Counts

63 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th))

Outputs

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

(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 #s(approx (+ (pow (sin kx) 2) (pow (sin ky) 2)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (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
77.4%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes57.0ms (0.5%)

Memory

2.4MiB live, 43.9MiB allocated

Counts

62 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))
(.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)) (sin.f64 ky))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (sin.f64 ky) #s(approx (/ (sin th) (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sin.f64 th)))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (*.f64 kx kx) #s(literal 1 binary64)) kx) kx))))) (sin.f64 th))
(.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))

Outputs

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

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

Calls

1 calls:

53.0ms

(/.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
77.2%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes52.0ms (0.4%)

Memory

5.1MiB live, 42.8MiB allocated

Counts

55 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))
(.f64 (.f64 #s(approx (neg (sin ky)) (neg.f64 ky)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (sin.f64 kx) (sin.f64 kx) #s(approx (pow (sin ky) 2) (*.f64 ky ky)))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (+.f64 kx kx)) #s(literal 1/2 binary64))) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(/.f64 (sin.f64 th) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (sin.f64 ky)))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (sqrt (+ (* (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) (*.f64 (sin.f64 th) (sin.f64 ky))))

Outputs

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

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

Calls

1 calls:

49.0ms

(/.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
77.0%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes107.0ms (0.9%)

Memory

-8.0MiB live, 178.0MiB allocated

Counts

47 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) (sin.f64 th))
(/.f64 (.f64 (sin.f64 th) (sin.f64 ky)) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) #s(approx (pow (sin kx) 2) (.f64 kx kx))))) (sin.f64 th))

Outputs

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

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

Calls

6 calls:

27.0ms	ky
18.0ms	(sin.f64 ky)
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)))))
14.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
14.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
69.3%	4	`(sin.f64 kx)`
66.7%	4	`(sin.f64 ky)`
66.4%	3	`ky`
67.0%	3	`kx`
66.9%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
70.6%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 23 to 31 computations (-34.8% saved)

regimes21.0ms (0.2%)

Memory

21.0MiB live, 53.5MiB allocated

Counts

44 → 3

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))))

Outputs

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

(*.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
70.6%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes121.0ms (1%)

Memory

20.5MiB live, 260.3MiB allocated

Counts

43 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 kx)))) (sin.f64 th))
(.f64 (.f64 (neg.f64 (sin.f64 ky)) (/.f64 #s(literal -1 binary64) #s(approx (sqrt (+ (* (sin kx) (sin kx)) (pow (sin ky) 2))) (sin.f64 ky)))) (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))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (fma.f64 #s(approx ( (/ 1/2 (sin ky)) kx) (*.f64 (/.f64 kx ky) #s(literal 1/2 binary64))) kx (sin.f64 ky)))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 ky))) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2))) (sin.f64 ky))) (sin.f64 th))

Outputs

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

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

8 calls:

20.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
15.0ms	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
15.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
14.0ms	(sin.f64 kx)
14.0ms	kx

Results

Accuracy	Segments	Branch
59.7%	4	`(sin.f64 ky)`
54.1%	4	`ky`
54.6%	3	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
54.6%	3	`kx`
56.4%	3	`(sin.f64 kx)`
52.5%	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))`
43.3%	4	`th`
63.8%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 40 to 47 computations (-17.5% saved)

regimes52.0ms (0.4%)

Memory

-26.9MiB live, 10.5MiB allocated

Counts

34 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))
(.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (sin.f64 kx))))

Outputs

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

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

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

Calls

1 calls:

49.0ms

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

Results

Accuracy	Segments	Branch
63.7%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes12.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated

Counts

33 → 3

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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 (fma.f64 #s(literal 2/45 binary64) (.f64 kx kx) #s(literal -1/3 binary64)) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th))

Outputs

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

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

9.0ms

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

Results

Accuracy	Segments	Branch
63.4%	3	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes34.0ms (0.3%)

Memory

9.6MiB live, 45.8MiB allocated

Counts

31 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (pow.f64 ky #s(literal 4 binary64)) (.f64 #s(literal 2/189 binary64) (*.f64 kx kx))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 kx kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(approx (sqrt (- 1 (cos ( 2 ky)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) ky))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(approx (- 1 (cos ( 2 ky))) (.f64 (.f64 ky ky) #s(literal 2 binary64))))))) (sin.f64 th))
#s(approx (* (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos (* 2 kx))))) (pow (sin ky) 2)))) (sin th)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sin.f64 th))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (/ 1 (/ 2 (- 1 (cos ( 2 kx))))) (pow (sin ky) 2)))) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 #s(approx (pow (sin kx) 2) (.f64 (.f64 (fma.f64 #s(literal -1/3 binary64) (.f64 kx kx) #s(literal 1 binary64)) kx) kx)) #s(approx (pow (sin ky) 2) (*.f64 ky ky))))) (sin.f64 th))

Outputs

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

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

Calls

3 calls:

13.0ms	(sin.f64 th)
9.0ms	(sin.f64 ky)
9.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
51.8%	3	`(sin.f64 ky)`
36.8%	2	`(sin.f64 th)`
55.9%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes65.0ms (0.6%)

Memory

-18.1MiB live, 137.8MiB allocated

Counts

21 → 2

Calls

Call 1

Inputs
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.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 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 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #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 #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 #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 #s(literal -1/5040 binary64) (.f64 th th) #s(literal 1/120 binary64)) (.f64 th th) #s(literal -1/6 binary64)) (.f64 th th) #s(literal 1 binary64)) th)))
#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))
#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)))))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx (/.f64 kx #s(approx (pow (sin ky) 2) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) #s(approx (+ ( (* kx (/ kx (pow (sin ky) 2))) -1/2) 1) (.f64 (/.f64 (.f64 #s(literal -1/2 binary64) kx) ky) (/.f64 kx ky)))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (*.f64 (/.f64 kx ky) (/.f64 kx ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(literal 1/3 binary64) kx) kx) ky) ky (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.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)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #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))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 #s(approx (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 kx kx))) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) #s(approx (/ (+ (* (+ (* (* 1/3 kx) kx) (* (+ (* (* (neg ky) ky) (+ (* (* kx kx) 11/945) (* (* kx kx) -1/45))) (* (* kx kx) 1/15)) (* ky ky))) (* ky ky)) (* kx kx)) (* ky ky)) (.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 ky ky) #s(literal 2/189 binary64) #s(literal 1/15 binary64)) (.f64 ky ky) #s(literal 1/3 binary64)) (.f64 ky ky) #s(literal 1 binary64)) ky) (/.f64 (*.f64 kx kx) ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 (.f64 kx #s(approx (/ kx (pow (sin ky) 2)) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 kx #s(literal 11/945 binary64) (.f64 kx #s(literal -1/45 binary64))) (.f64 kx #s(literal 1/15 binary64))) (.f64 ky ky) (.f64 #s(literal 1/3 binary64) kx)) (.f64 ky ky) kx) (*.f64 ky ky)))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (.f64 #s(literal -2/189 binary64) (.f64 kx kx)) ky) (neg.f64 ky) (.f64 #s(literal 1/15 binary64) (.f64 kx kx))) (.f64 ky ky) (.f64 (.f64 #s(literal 1/3 binary64) kx) kx)) (.f64 ky ky) (.f64 kx kx)) (*.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 th))
(.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (/ 1 (pow (sin ky) -1)) 2)))) (fma.f64 #s(approx ( kx (/ kx (pow (sin ky) 2))) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3 binary64) kx) kx (.f64 (fma.f64 (.f64 (neg.f64 ky) ky) (fma.f64 (.f64 kx kx) #s(literal 11/945 binary64) (.f64 (.f64 kx kx) #s(literal -1/45 binary64))) (.f64 (.f64 kx kx) #s(literal 1/15 binary64))) (.f64 ky ky))) (.f64 ky ky) (.f64 kx kx)) (.f64 ky ky))) #s(literal -1/2 binary64) #s(literal 1 binary64))) (sin.f64 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) (*.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)) (sin.f64 th))

Calls

8 calls:

13.0ms	(sin.f64 kx)
9.0ms	(*.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))
8.0ms	ky
7.0ms	kx
7.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
30.2%	1	`th`
38.1%	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))`
34.0%	2	`(sin.f64 ky)`
33.6%	2	`ky`
34.2%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
34.4%	2	`kx`
32.7%	2	`(sin.f64 kx)`
38.0%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 40 to 47 computations (-17.5% saved)

regimes35.0ms (0.3%)

Memory

-10.1MiB live, 61.0MiB allocated

Counts

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

Outputs

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

Calls

9 calls:

10.0ms	(sin.f64 ky)
3.0ms	(sin.f64 kx)
3.0ms	(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
3.0ms	kx
3.0ms	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))

Results

Accuracy	Segments	Branch
14.4%	1	`th`
19.9%	3	`(sin.f64 kx)`
20.2%	2	`ky`
20.4%	2	`(sin.f64 ky)`
19.9%	2	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
20.0%	2	`kx`
23.2%	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))`
16.1%	2	`(sin.f64 th)`
22.4%	2	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

regimes18.0ms (0.1%)

Memory

-15.4MiB live, 24.1MiB 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:

6.0ms	(sin.f64 th)
2.0ms	(*.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 ky)
1.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
14.4%	1	`th`
14.4%	1	`(sin.f64 th)`
14.4%	1	`(sin.f64 kx)`
14.4%	1	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`
14.4%	1	`kx`
14.4%	1	`ky`
14.4%	1	`(sin.f64 ky)`
14.4%	1	`(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))`
14.4%	1	`(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))`

Compiler

Compiled 42 to 51 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.000000002026985	+inf

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9863525699851958	0.9999996392848437

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9863525699851958	0.9999996392848437

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9863525699851958	0.9999996392848437

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.6MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9863525699851958	0.9999996392848437
0.0ms	0.007097003079230387	0.01125731936200213
0.0ms	1.5873885225458584e-285	1.421224531493089e-283

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

3×	left-value

Steps

Time	Left	Right
0.0ms	0.9863525699851958	0.9999996392848437
0.0ms	0.007097003079230387	0.01125731936200213
0.0ms	1.5873885225458584e-285	1.421224531493089e-283

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9766694017440402	0.9863525699851958
0.0ms	0.2278699065918313	0.278813051518849
0.0ms	-0.004619858039958998	1.2140726330322584e-303
0.0ms	-0.9594092357040098	-0.9337460981997596

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	0.9766694017440402	0.9863525699851958
0.0ms	0.2278699065918313	0.278813051518849
0.0ms	-0.004619858039958998	1.2140726330322584e-303
0.0ms	-0.9594092357040098	-0.9337460981997596

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.9863525699851958	0.9999996392848437
0.0ms	-0.7173987574051174	-0.6791450110978139

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6965423345410077	0.730502022286529
0.0ms	-0.7173987574051174	-0.6791450110978139

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.6965423345410077	0.730502022286529
0.0ms	-0.9999233465596609	-0.9968388271701727

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007097003079230387	0.01125731936200213
0.0ms	-0.004619858039958998	1.2140726330322584e-303

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007097003079230387	0.01125731936200213
0.0ms	-0.004619858039958998	1.2140726330322584e-303

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2278699065918313	0.278813051518849
0.0ms	-0.4645181011136524	-0.26712041696939376

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2278699065918313	0.278813051518849
0.0ms	-0.4645181011136524	-0.26712041696939376

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2278699065918313	0.278813051518849
0.0ms	-1.0	-0.9999999614372383

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.2278699065918313	0.278813051518849
0.0ms	-1.0	-0.9999999614372383

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch2.0ms (0%)

Memory

-37.4MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007097003079230387	0.01125731936200213
0.0ms	-0.004619858039958998	1.2140726330322584e-303

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	0.007097003079230387	0.01125731936200213

Compiler

Compiled 19 to 19 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.148359027772894e-36	3.763162962893419e-34

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	3.1713348728339434e-301	5.6407849381727425e-301

Compiler

Compiled 19 to 19 computations (0% saved)

simplify43.0ms (0.4%)

Memory

0.6MiB live, 79.0MiB allocated

Algorithm

1×	egg-herbie

Rules

84×	`-commutative-binary64-.f64`
24×	`+-commutative-binary64-+.f64`
22×	`sub-neg-binary64-neg.f64-+.f64--.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	243	2266
1	302	2266
2	320	2266
3	331	2266
4	336	2266

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.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 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))))
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#s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th)))

Outputs
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.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 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 2 binary64)) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (/.f64 (sin.f64 ky) (/.f64 (sqrt.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))) (sin.f64 th))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 kx #s(literal 2 binary64))) #s(literal 1/2 binary64))))))) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 th) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (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) kx)) #s(literal 1/2 binary64)))))) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(approx (pow (sin ky) 2) (.f64 ky ky))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) kx))))))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 5357543035931337/2678771517965668302371062622650004526403512029263834018609375970925877627812340306232995947039239645318986682293882867062967863214230785108996144393674643700983641943706057746355268651265592785469488545538261618745895485316849691889791385986519265728642799119421635541915107457913156096709301417017344 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (/.f64 #s(approx (sin ky) (.f64 (fma.f64 (.f64 ky ky) #s(literal -1/6 binary64) #s(literal 1 binary64)) ky)) (sqrt.f64 (+.f64 #s(approx (pow (sin ky) 2) (.f64 ky ky)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 4458563631096791/4503599627370496 binary64)) (.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (+.f64 ky ky))) #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (.f64 (cos.f64 (.f64 #s(literal 2 binary64) kx)) #s(literal 1/2 binary64)))))) (sin.f64 th)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (fma.f64 (.f64 #s(literal 1/2 binary64) kx) (/.f64 kx (sin.f64 ky)) (sin.f64 ky)))) (sin.f64 th)))))
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(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64))))) (sin.f64 th)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 1/4 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 -3602879701896397/9007199254740992 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 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 1/4 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 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal -3602879701896397/9007199254740992 binary64)) (.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64))))) (sin.f64 ky)) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 1/4 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 -1 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 1/4 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 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal -1 binary64)) (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 1/4 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 -1 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) 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 1/4 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (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 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal -1 binary64)) (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (.f64 (/.f64 (sin.f64 th) #s(approx (sqrt (+ ( (- 1 (cos (* 2 ky))) 1/2) (pow (sin kx) 2))) (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 -1152921504606847/288230376151711744 binary64)) (.f64 (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))) #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal -1152921504606847/288230376151711744 binary64)) (.f64 #s(approx (sin th) (.f64 (fma.f64 (.f64 th th) #s(literal -1/6 binary64) #s(literal 1 binary64)) th)) (/.f64 (sin.f64 ky) #s(approx (sqrt (+ ( (- 1 (cos (+ ky ky))) 1/2) (pow (sin kx) 2))) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) (sqrt.f64 #s(literal 1/2 binary64)))))) (if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th))))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (/.f64 ky (sin.f64 kx))) (sin.f64 th)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) (sin.f64 th)))
(if (<=.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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 th th) #s(literal -1/6 binary64))) 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 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) #s(literal 7482888383134223/1496577676626844588240573268701473812127674924007424 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 th th) #s(literal -1/6 binary64))) 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 6032057205060441/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) #s(literal 1 binary64)) th))))
(if (<=.f64 (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) #s(literal 6032057205060441/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624 binary64)) #s(approx ( (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #s(approx (+ ( (* th th) -1/6) 1) (.f64 (.f64 th th) #s(literal -1/6 binary64))) th))) #s(approx (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th)) #s(approx (sin th) (.f64 #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)))

soundness1.7s (14.7%)

Memory

53.4MiB live, 1 693.7MiB allocated

Rules

14 494×	`lower-fma.f64`
14 494×	`lower-fma.f32`
12 924×	`lower-fma.f64`
12 924×	`lower-fma.f32`
10 988×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	58
0	22	58
1	62	58
2	338	58
3	2902	58
0	8284	42
0	50	307
0	85	258
1	275	254
2	1529	242
0	8760	197
0	653	11133
1	2057	10728
2	7647	10696
0	8013	9481
0	84	603
0	134	553
1	464	551
0	2867	535
0	61	359
0	104	323
1	327	315
0	1804	279
0	795	14166
1	2576	13597
2	6549	13428
0	8160	12237
0	683	12155
1	2221	11620
0	8207	10032
0	323	2507
1	1023	2458
2	3888	2358
3	7852	2358
0	8155	1948

Stop Event

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

Compiler

Compiled 3 938 to 1 913 computations (51.4% saved)

preprocess259.0ms (2.2%)

Memory: 3.7MiB live, 400.4MiB allocated
Remove: (negabs th)
Compiler: Compiled 3 512 to 614 computations (82.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated