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

analyze199.0ms (1.5%)

Memory

23.6MiB live, 467.0MiB 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)

sample1.5s (11.6%)

Memory

30.8MiB live, 2 961.1MiB allocated

Samples

1.2s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 973.0ms

ival-sin: 555.0ms (57.1% of total)

ival-pow2: 161.0ms (16.6% of total)

ival-mult: 78.0ms (8% of total)

ival-div: 64.0ms (6.6% of total)

ival-sqrt: 63.0ms (6.5% of total)

ival-add: 42.0ms (4.3% of total)

ival-true: 6.0ms (0.6% of total)

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

Bogosity

preprocess82.0ms (0.6%)

Memory

-3.5MiB live, 75.3MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	166
1	104	163
2	212	163
3	384	163
4	831	163
5	1947	163
6	2502	163
7	2779	163
8	2891	163
9	2941	163
10	2956	163
11	2956	163
0	13	16
1	19	16
2	23	16
3	24	16
0	24	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

Outputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))

Call 2

Inputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))

Outputs
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th))
(/ (* (sin ky) (neg (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th)))
(/ (* (sin ky) (neg (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin (neg kx)) 2) (pow (sin ky) 2)))) (sin th)))
(/ (* (sin ky) (neg (sin th))) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(neg (* (/ (sin (neg ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin (neg ky)) 2)))) (sin th)))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(neg (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin (neg th))))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin kx) (sqrt (+ (pow (sin ky) 2) (pow (sin kx) 2)))) (sin th))
(/ (* (sin kx) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ (sin ky) (sqrt (+ (pow (sin th) 2) (pow (sin ky) 2)))) (sin kx))
(/ (* (sin ky) (sin kx)) (sqrt (+ (pow (sin ky) 2) (pow (sin th) 2))))
(* (/ (sin th) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2)))) (sin ky))
(/ (* (sin ky) (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin th) 2))))

Symmetry

(abs kx)

(negabs ky)

(negabs th)

explain214.0ms (1.6%)

Memory

-20.4MiB live, 471.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	1	(2.048599827444919e-158 1.2428910794558875e-186 5.314538879914588e-231)	`(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	23	0
↳	`(pow.f64 (sin.f64 kx) #s(literal 2 binary64))`	underflow	59
↳	`(pow.f64 (sin.f64 ky) #s(literal 2 binary64))`	underflow	78
↳	`(+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))`	underflow	23

Confusion

	Predicted +	Predicted -
+	23	1
-	0	232

Precision

1.0

Recall

0.9583333333333334

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	23	0	1
-	0	0	232

Precision?

1.0

Recall?

0.9583333333333334

Freqs

test

number	freq
0	233
1	23

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

77.0ms

512×

valid

Compiler

Compiled 174 to 56 computations (67.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-sin: 35.0ms (61.7% of total)

ival-pow2: 9.0ms (15.9% of total)

ival-sqrt: 4.0ms (7.1% of total)

ival-div: 3.0ms (5.3% of total)

ival-mult: 3.0ms (5.3% of total)

ival-add: 2.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.8%	(*.f64 (/.f64 (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 19 to 13 computations (31.6% saved)

simplify4.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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	12992	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Rules

16×	`-lowering-.f32`
16×	`-lowering-.f64`
6×	`*-commutative`
6×	`sin-lowering-sin.f64`
6×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	19	66
2	23	66
3	24	66
0	24	51

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize56.0ms (0.4%)

Memory

-20.6MiB live, 137.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
✓	accuracy	91.3%	(sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))

Samples

39.0ms

256×

valid

Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-sin: 18.0ms (62.4% of total)

ival-pow2: 4.0ms (13.9% of total)

ival-div: 2.0ms (6.9% of total)

ival-mult: 2.0ms (6.9% of total)

ival-sqrt: 2.0ms (6.9% of total)

ival-add: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory

16.4MiB live, 55.3MiB allocated

Counts

6 → 120

Calls

Call 1

Inputs
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin ky)>
#<alt (pow (sin kx) 2)>
#<alt (pow (sin ky) 2)>

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

Calls

30 calls:

Time	Variable		Point	Expression
3.0ms	kx	@	0	(pow (sin kx) 2)
3.0ms	ky	@	-inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
3.0ms	ky	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms	ky	@	0	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))
2.0ms	th	@	inf	(* (/ (sin ky) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (sin th))

rewrite347.0ms (2.7%)

Memory

-12.1MiB live, 617.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 346×	`accelerator-lowering-fma.f32`
4 346×	`accelerator-lowering-fma.f64`
3 626×	`-lowering-.f32`
3 626×	`-lowering-.f64`
2 248×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	53	49
2	329	49
3	2893	49
0	8275	34

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 294

Calls

Call 1

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

Outputs
(exp.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))))))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky)))))) #s(literal 1/4 binary64)) (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky)))))) #s(literal 1/4 binary64))))
(exp.f64 (neg.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky)))))) #s(literal -1/2 binary64))))
(exp.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (neg.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))))))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(hypot.f64 (sin.f64 kx) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (sin.f64 kx))
(hypot.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 ky))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 kx) #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)))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (sin.f64 kx))
(hypot.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))))
(neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky)))))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))) (sqrt.f64 (.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 9 binary64)) (pow.f64 (sin.f64 kx) #s(literal 9 binary64))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (-.f64 (pow.f64 (sin.f64 ky) #s(literal 12 binary64)) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 6 binary64)))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 12 binary64)) (pow.f64 (sin.f64 ky) #s(literal 12 binary64)))) (sqrt.f64 (.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 8 binary64)) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 8 binary64)) (pow.f64 (.f64 (sin.f64 kx) (sin.f64 ky)) #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky)))))))))
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(.f64 (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64)) (sin.f64 ky)) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal -1/4 binary64)) (pow.f64 (.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sqrt.f64 (sin.f64 ky))) (sqrt.f64 (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 2 binary64)))))
(.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 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.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) ky))))) #s(literal 1/4 binary64)) (sqrt.f64 (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (sin.f64 ky)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky))) #s(literal -1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(sqrt.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(sin.f64 ky)
(neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(*.f64 (sin.f64 ky) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 ky))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 1/4 binary64)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 kx))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 kx))) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 kx #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 kx #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64)))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 kx) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 kx)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 kx))))
(*.f64 (sin.f64 kx) (sin.f64 kx))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (pow.f64 (sin.f64 kx) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 kx) #s(literal 1/2 binary64)))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 ky))))
(exp.f64 (.f64 (.f64 #s(literal 1/2 binary64) (log.f64 (sin.f64 ky))) #s(literal 4 binary64)))
(-.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 2 binary64) 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) ky)))))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 2 binary64))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))))
(/.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky))))) (exp.f64 (log.f64 #s(literal 2 binary64))))
(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
(pow.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (sin.f64 ky)) #s(literal 4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 ky)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (sin.f64 ky))))
(*.f64 (sin.f64 ky) (sin.f64 ky))
(.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (-.f64 #s(literal 0 binary64) (sin.f64 ky)))
(.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) ky)))))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) #s(literal 2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (sin.f64 ky)) (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 ky) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 ky)))
(*.f64 (pow.f64 (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 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 #s(literal 2 binary64) ky))) #s(literal 1 binary64)) #s(literal 1/2 binary64))

simplify523.0ms (4%)

Memory

54.2MiB live, 956.0MiB allocated

Algorithm

1×	egg-herbie

Rules

14 278×	`accelerator-lowering-fma.f32`
14 278×	`accelerator-lowering-fma.f64`
6 260×	`-lowering-.f32`
6 260×	`-lowering-.f64`
5 352×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	317	2263
1	1011	2214
2	3860	2122
3	7804	2122
0	8107	1974

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

Inputs
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(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)))
(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 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))))))
(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)))
(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)))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin 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) (* -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 (/ 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)))))
(* (* 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)))))
(/ 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 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) (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 (* -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) (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) (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)))))
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 ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(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 kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow (sin kx) 2)
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(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)

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

eval114.0ms (0.9%)

Memory: -42.6MiB live, 127.0MiB allocated
Compiler: Compiled 11 761 to 1 742 computations (85.2% saved)

prune70.0ms (0.5%)

Memory

25.1MiB live, 185.3MiB allocated

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	432	18	450
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	433	18	451

Accuracy

100.0%

Counts

451 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	95.1%	(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	31.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
▶	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	94.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
	21.2%	(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
▶	99.6%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
	35.1%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
	36.0%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))) (sin.f64 th))
	37.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	34.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	94.1%	(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
	95.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
▶	21.2%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
	90.3%	(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
	80.6%	(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))
▶	29.2%	(sin.f64 th)

Compiler

Compiled 558 to 376 computations (32.6% saved)

simplify35.0ms (0.3%)

Memory

0.3MiB live, 38.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	cost-diff	128	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓	cost-diff	0	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	cost-diff	0	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	cost-diff	0	(.f64 (.f64 kx kx) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	cost-diff	0	(sin.f64 th)
✓	cost-diff	0	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))

Rules

722×	`-lowering-.f32`
722×	`-lowering-.f64`
612×	`times-frac`
324×	`associate-r`
298×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	220
1	48	220
2	86	220
3	179	220
4	453	220
5	748	220
6	1007	220
7	1111	220
8	1112	220
9	1112	220
0	1112	164

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize148.0ms (1.1%)

Memory

4.8MiB live, 199.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (sin.f64 ky))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.4%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 ky) (sin.f64 kx))
✓	accuracy	99.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
✓	accuracy	99.7%	(/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
✓	accuracy	100.0%	(.f64 (.f64 kx kx) #s(literal -1/2 binary64))
✓	accuracy	99.6%	(pow.f64 (sin.f64 ky) #s(literal 2 binary64))
✓	accuracy	94.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
✓	accuracy	86.2%	(/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓	accuracy	99.7%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))

Samples

104.0ms

256×

valid

Compiler

Compiled 170 to 26 computations (84.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-hypot: 37.0ms (44.8% of total)

ival-sin: 20.0ms (24.2% of total)

ival-div: 15.0ms (18.2% of total)

ival-mult: 6.0ms (7.3% of total)

ival-pow2: 3.0ms (3.6% of total)

ival-add: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series64.0ms (0.5%)

Memory

4.3MiB live, 43.3MiB allocated

Counts

16 → 384

Calls

Call 1

Inputs
#<alt (/ (sin th) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))>
#<alt (sin th)>
#<alt (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))>
#<alt (* (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2))) (sin th))>
#<alt (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2)))>
#<alt (/ (* (* kx kx) -1/2) (pow (sin ky) 2))>
#<alt (* (* kx kx) -1/2)>
#<alt (* (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))) (sin th))>
#<alt (/ (sin ky) (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx)))))>
#<alt (sin ky)>
#<alt (sqrt (+ (* (sin ky) (sin ky)) (* (sin kx) (sin kx))))>
#<alt (/ (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (/ 1 (sin ky)))>
#<alt (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))>
#<alt (pow (sin ky) 2)>
#<alt (/ 1 (sin ky))>

Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<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)))))))))))>
#<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))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (* 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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#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
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#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (/ (+ (* -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))>
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#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -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))>
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#<alt (* -1/2 (pow kx 2))>
#<alt (/ (* ky (sin th)) (sin kx))>
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#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<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)))))))))))>
#<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))))))))))))>
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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (* 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)))))))>
#<alt (* 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))))))))))>
#<alt (* 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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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ ky (sin kx))>
#<alt (* ky (+ (* -1 (* (pow ky 2) (+ (* 1/6 (/ 1 (sin kx))) (* 1/2 (/ 1 (pow (sin kx) 3)))))) (/ 1 (sin kx))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<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))))))>
#<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))))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (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))))))>
#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (sin ky)>
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#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
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#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))))>
#<alt (* 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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#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (sin th)>
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#<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)))))))))))>
#<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))))))))))))>
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#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* 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))))>
#<alt (* 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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#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (/ (sin th) (sin ky))>
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#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
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#<alt (pow ky 2)>
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#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (pow (sin ky) 2)>
#<alt (/ 1 ky)>
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#<alt (/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>
#<alt (/ 1 (sin ky))>

Calls

96 calls:

Time	Variable		Point	Expression
39.0ms	ky	@	inf	(* (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2))) (sin th))
1.0ms	kx	@	0	(/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
1.0ms	ky	@	-inf	(* (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2))) (sin th))
1.0ms	ky	@	0	(* (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2))) (sin th))
1.0ms	th	@	inf	(* (+ 1 (/ (* (* kx kx) -1/2) (pow (sin ky) 2))) (sin th))

rewrite440.0ms (3.4%)

Memory

-16.4MiB live, 714.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 030×	`accelerator-lowering-fma.f32`
5 030×	`accelerator-lowering-fma.f64`
4 636×	`/-lowering-/.f32`
4 636×	`/-lowering-/.f64`
4 174×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	161
1	159	161
2	1151	161
0	8214	119

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 766

Calls

Call 1

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

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

simplify539.0ms (4.2%)

Memory

-23.7MiB live, 824.0MiB allocated

Algorithm

1×	egg-herbie

Rules

12 634×	`accelerator-lowering-fma.f32`
12 634×	`accelerator-lowering-fma.f64`
8 406×	`-lowering-.f32`
8 406×	`-lowering-.f64`
3 690×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	7683
1	1765	7366
2	6990	7139
0	8395	6628

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

Calls

Call 1

Inputs
(* (* 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) (* -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 (/ 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)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin 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)))))
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))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin 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))))))
(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)))
(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 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))))))
(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)))
(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 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2)))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/315 (pow kx 2)) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))))))))) (pow ky 2))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2))))))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (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))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (pow (sin ky) 2)))))
(* -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))
(+ 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))))
(+ 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))))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -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) (+ (* -1/6 (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))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (/ (pow kx 2) (pow (sin ky) 2)))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (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))))
(* (* (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) (* -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 (/ 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)))))
(* (* 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)))))
(/ 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 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) (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 (* -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) (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) (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)))))
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 ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(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)))
(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) (* 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))))))
(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)))
(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)))
(* (* 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) (* -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 (/ 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)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin 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)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(pow ky 2)
(* (pow ky 2) (+ 1 (* -1/3 (pow ky 2))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))
(* (pow ky 2) (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 2/45 (* -1/315 (pow ky 2)))) 1/3))))
(pow (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)
(/ 1 ky)
(/ (+ 1 (* 1/6 (pow ky 2))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* 7/360 (pow ky 2))))) ky)
(/ (+ 1 (* (pow ky 2) (+ 1/6 (* (pow ky 2) (+ 7/360 (* 31/15120 (pow ky 2))))))) ky)
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))
(/ 1 (sin ky))

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

eval214.0ms (1.7%)

Memory: 53.7MiB live, 350.5MiB allocated
Compiler: Compiled 31 600 to 2 794 computations (91.2% saved)

prune198.0ms (1.5%)

Memory

-42.1MiB live, 365.4MiB allocated

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	1 447	31	1 478
Fresh	8	5	13
Picked	3	2	5
Done	0	0	0
Total	1 458	38	1 496

Accuracy

100.0%

Counts

1 496 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
	57.0%	(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	29.1%	(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	37.1%	(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	52.5%	(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	95.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	31.9%	(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
	2.8%	(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	57.1%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
▶	37.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	15.6%	(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
	31.1%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	99.5%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
▶	52.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	94.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	99.4%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
	12.5%	(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
	2.3%	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
▶	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	52.1%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
	52.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	57.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	35.1%	(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
	37.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
▶	34.8%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
	15.6%	(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
	12.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
	21.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
	13.3%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
	21.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
	21.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
	24.9%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
	17.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
✓	29.2%	(sin.f64 th)
▶	17.1%	th

Compiler

Compiled 1 175 to 805 computations (31.5% saved)

simplify6.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Program
✓	cost-diff	(sin.f64 kx)
✓	cost-diff	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	cost-diff	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓	cost-diff	(sin.f64 kx)
✓	cost-diff	(/.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	(sin.f64 th)
✓	cost-diff	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
✓	cost-diff	(sin.f64 th)
✓	cost-diff	(sin.f64 kx)
✓	cost-diff	(/.f64 ky (sin.f64 kx))
✓	cost-diff	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
✓	cost-diff	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	(sin.f64 th)
✓	cost-diff	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	cost-diff	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))

Rules

48×	`-lowering-.f32`
48×	`-lowering-.f64`
28×	`/-lowering-/.f32`
28×	`/-lowering-/.f64`
22×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	146
1	29	146
2	41	146
3	48	146
4	50	146
0	50	104

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky))
(/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(sin th)
th
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin kx)
kx
(sin ky)
ky
th
(* (/ ky (sin kx)) (sin th))
(/ ky (sin kx))
ky
(sin kx)
kx
(sin th)
th
(/ (sin th) (/ (sin kx) (sin ky)))
(sin th)
th
(/ (sin kx) (sin ky))
(sin kx)
kx
(sin ky)
ky
(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
th
(/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(sin kx)
kx
(sin ky)
ky

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

localize74.0ms (0.6%)

Memory

26.2MiB live, 140.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.8%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
✓	accuracy	99.7%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky))
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.7%	(/.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	100.0%	(sin.f64 th)
✓	accuracy	100.0%	(sin.f64 kx)
✓	accuracy	99.8%	(/.f64 ky (sin.f64 kx))
✓	accuracy	97.1%	(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.6%	(/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
✓	accuracy	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))

Samples

48.0ms

256×

valid

Compiler

Compiled 106 to 17 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 17.0ms (51.3% of total)

ival-div: 9.0ms (27.1% of total)

ival-hypot: 4.0ms (12.1% of total)

ival-mult: 3.0ms (9% of total)

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

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

series34.0ms (0.3%)

Memory

-13.8MiB live, 67.3MiB allocated

Counts

12 → 312

Calls

Call 1

Inputs
#<alt (* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky))>
#<alt (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))>
#<alt (sin th)>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))>
#<alt (* (/ ky (sin kx)) (sin th))>
#<alt (/ ky (sin kx))>
#<alt (sin kx)>
#<alt (/ (sin th) (/ (sin kx) (sin ky)))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))>
#<alt (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))>
#<alt (sin ky)>

Outputs
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<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)))))))))))>
#<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))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))>
#<alt (* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin ky))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (sin th) (sin kx))>
#<alt (+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))>
#<alt (+ (* (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)))>
#<alt (+ (* (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)))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* 1/120 (pow th 2)) 1/6))))>
#<alt (* th (+ 1 (* (pow th 2) (- (* (pow th 2) (+ 1/120 (* -1/5040 (pow th 2)))) 1/6))))>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin th)>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<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))))))>
#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (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))))))>
#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky kx)>
#<alt (/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)>
#<alt (/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)>
#<alt (/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt (/ ky (sin kx))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (/ (* th (sin ky)) (sin kx))>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ (* (sin ky) (sin th)) (sin kx))>
#<alt (/ kx (sin ky))>
#<alt (* kx (+ (* -1/6 (/ (pow kx 2) (sin ky))) (/ 1 (sin ky))))>
#<alt (* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))>
#<alt (* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* 1/6 (* (pow ky 2) (sin kx)))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin kx)) (* 1/120 (sin kx))))) (* -1/6 (sin kx))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin kx)) (+ (* 1/720 (sin kx)) (* 1/6 (+ (* -1/36 (sin kx)) (* 1/120 (sin kx)))))))) (+ (* -1/36 (sin kx)) (* 1/120 (sin kx))))) (* -1/6 (sin kx))))) ky)>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (/ (sin kx) (sin ky))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt th>
#<alt (+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))>
#<alt (+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))>
#<alt (+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>

Calls

78 calls:

Time	Variable		Point	Expression
7.0ms	th	@	0	(* (/ ky (sin kx)) (sin th))
2.0ms	ky	@	-inf	(* (/ ky (sin kx)) (sin th))
2.0ms	th	@	inf	(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
1.0ms	ky	@	0	(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
1.0ms	th	@	0	(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))

rewrite323.0ms (2.5%)

Memory

-4.1MiB live, 510.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

2 942×	`-lowering-.f32`
2 942×	`-lowering-.f64`
2 612×	`/-lowering-/.f32`
2 612×	`/-lowering-/.f64`
2 328×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	97
1	105	97
2	738	97
0	8561	72

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 408

Calls

Call 1

Inputs
(* (/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))) (sin ky))
(/ (sin th) (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))))
(sin th)
(sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))
(* (/ ky (sin kx)) (sin th))
(/ ky (sin kx))
(sin kx)
(/ (sin th) (/ (sin kx) (sin ky)))
(/ (sin kx) (sin ky))
(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky)))
(/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin ky))
(sin ky)

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

simplify528.0ms (4.1%)

Memory

24.6MiB live, 944.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 652×	`accelerator-lowering-fma.f32`
13 652×	`accelerator-lowering-fma.f64`
8 964×	`-lowering-.f32`
8 964×	`-lowering-.f64`
4 094×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	623	5171
1	2052	5003
2	7868	4979
0	8085	4632

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

Inputs
(* (* 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) (* -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 (/ 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)))))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin 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)))))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin ky))
(+ (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 3))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* 1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))) (/ (sin th) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 3))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (sin ky) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (sin ky) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))) (/ (sin th) (sin ky)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(/ (sin th) (sin kx))
(+ (* -1/2 (/ (* (pow ky 2) (sin th)) (pow (sin kx) 3))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))))))))) (/ (sin th) (sin kx)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* (pow ky 2) (+ (* -1/2 (* (pow ky 2) (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8))))))))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))) (/ (sin th) (sin kx)))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(* (sin th) (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))))
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin th)
(sin ky)
(+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))
(+ (sin ky) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (sin ky))) (* 1/2 (/ 1 (sin ky))))))
(+ (sin ky) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (sin ky))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (sin ky))))) (* 1/2 (/ 1 (sin ky))))))
(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)))
(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 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))))))
(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)))
(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)))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* ky (sin th)))) (* ky (sin th))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (+ (* ky (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* ky (sin th))) (+ (* 1/720 (* ky (sin th))) (* 1/6 (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th))))))))) (+ (* -1/36 (* ky (sin th))) (* 1/120 (* ky (sin th)))))) (* -1/6 (* ky (sin th)))))) kx)
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky th) (sin kx))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky kx)
(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
(/ ky (sin kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(/ (* th (sin ky)) (sin kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/ kx (sin ky))
(* kx (+ (* -1/6 (/ (pow kx 2) (sin ky))) (/ 1 (sin ky))))
(* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) ky)
(/ (+ (sin kx) (* 1/6 (* (pow ky 2) (sin kx)))) ky)
(/ (+ (sin kx) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin kx)) (* 1/120 (sin kx))))) (* -1/6 (sin kx))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin kx)) (+ (* 1/720 (sin kx)) (* 1/6 (+ (* -1/36 (sin kx)) (* 1/120 (sin kx)))))))) (+ (* -1/36 (sin kx)) (* 1/120 (sin kx))))) (* -1/6 (sin kx))))) ky)
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(/ (sin kx) (sin ky))
(* (* th (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 (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 (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 (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 (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 (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
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(* (* th (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 (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 (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 (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)))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* (* th (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 (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 (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 (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)))))
1
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (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))))
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)

Outputs
(* (* 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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (* -1/6 (* (* (pow th 2) (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* (sin ky) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))
(.f64 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th (sin.f64 ky)))) (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 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 #s(literal 1/120 binary64) (.f64 th (*.f64 th (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)))))) (* (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 th (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th (.f64 th (sin.f64 ky)))) (sin.f64 ky))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th (.f64 th (sin.f64 ky)))) (.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (.f64 (.f64 th th) (.f64 th th)))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(sin th)
(sin.f64 th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx (.f64 kx (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))))) (.f64 kx kx)))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (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 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx))))))
(* 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 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (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 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 ky (.f64 ky (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 kx) (.f64 (.f64 (sin.f64 th) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) (sin.f64 kx)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx))))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (sin.f64 th)))
(* th (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 th (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* -1/6 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/120 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))))
(.f64 th (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 th th) #s(literal 1/120 binary64)))))))
(* th (+ (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* -1/6 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) (* 1/120 (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))))))))
(.f64 th (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 th th) #s(literal -1/5040 binary64)))) (.f64 (.f64 th th) (*.f64 th th)))))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(* (sin th) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
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(/ (* ky th) (sin kx))
(*.f64 th (/.f64 ky (sin.f64 kx)))
(* th (+ (* -1/6 (/ (* ky (pow th 2)) (sin kx))) (/ ky (sin kx))))
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* 1/120 (/ (* ky (pow th 2)) (sin kx))))) (/ ky (sin kx))))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (.f64 th (+.f64 (.f64 ky (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 th th))) (sin.f64 kx)))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ ky (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* ky (pow th 2)) (sin kx))) (* 1/120 (/ ky (sin kx))))))) (/ ky (sin kx))))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (.f64 ky (/.f64 #s(literal -1/6 binary64) (sin.f64 kx))) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx)) (.f64 #s(literal 1/120 binary64) (/.f64 ky (sin.f64 kx)))))))))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
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(/ (* ky (sin th)) (sin kx))
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(/ (* ky (sin th)) (sin kx))
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(/ (* ky (sin th)) (sin kx))
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(/ ky (sin kx))
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(/ ky kx)
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(/ (+ ky (* 1/6 (* (pow kx 2) ky))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 kx kx)) #s(literal 1 binary64)) ky) kx)
(/ (+ ky (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (.f64 ky #s(literal 1/6 binary64))))) kx)
(/ (+ ky (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 ky) (+ (* 1/720 ky) (* 1/6 (+ (* -1/36 ky) (* 1/120 ky))))))) (+ (* -1/36 ky) (* 1/120 ky)))) (* -1/6 ky)))) kx)
(/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 kx kx) (+.f64 (.f64 ky #s(literal -7/2160 binary64)) (.f64 ky #s(literal 1/840 binary64))))) (.f64 ky #s(literal 7/360 binary64)))) (.f64 ky #s(literal 1/6 binary64))))) kx)
(/ ky (sin kx))
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(/ ky (sin kx))
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(/ ky (sin kx))
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(/ ky (sin kx))
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(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
(/ ky (sin kx))
(/.f64 ky (sin.f64 kx))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(/ (* th (sin ky)) (sin kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(* th (+ (* -1/6 (/ (* (pow th 2) (sin ky)) (sin kx))) (/ (sin ky) (sin kx))))
(.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 (.f64 (.f64 th (.f64 th (sin.f64 ky))) #s(literal -1/6 binary64)) (sin.f64 kx))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* 1/120 (/ (* (pow th 2) (sin ky)) (sin kx))))) (/ (sin ky) (sin kx))))
(.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (.f64 th th) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 th (*.f64 th (sin.f64 ky)))) (sin.f64 kx))))))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (sin ky) (sin kx))) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (sin ky)) (sin kx))) (* 1/120 (/ (sin ky) (sin kx))))))) (/ (sin ky) (sin kx))))
(.f64 th (+.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 th (.f64 th (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sin.f64 kx)) (.f64 th (.f64 th (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th (.f64 th (sin.f64 ky)))) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 ky)) (sin.f64 kx))))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) kx)
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64))) (.f64 (*.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th))))) kx)
(/ (+ (* (sin ky) (sin th)) (* (pow kx 2) (- (* (pow kx 2) (- (* -1 (* (pow kx 2) (+ (* -1/5040 (* (sin ky) (sin th))) (+ (* 1/720 (* (sin ky) (sin th))) (* 1/6 (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th))))))))) (+ (* -1/36 (* (sin ky) (sin th))) (* 1/120 (* (sin ky) (sin th)))))) (* -1/6 (* (sin ky) (sin th)))))) kx)
(/.f64 (+.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (.f64 (+.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal -7/2160 binary64)) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1/840 binary64))) (.f64 #s(literal -1 binary64) (.f64 kx kx))) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 7/360 binary64)))) (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th))))) kx)
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(* ky (+ (* -1/6 (/ (* (pow ky 2) (sin th)) (sin kx))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (sin.f64 th)))) (sin.f64 kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* 1/120 (/ (* (pow ky 2) (sin th)) (sin kx))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky (sin.f64 th)))) (sin.f64 kx))))))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (sin th)) (sin kx))) (* 1/120 (/ (sin th) (sin kx))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 th)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (sin.f64 th)) (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/5040 binary64) (.f64 ky (.f64 ky (sin.f64 th)))) (sin.f64 kx))))))))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ (* (sin ky) (sin th)) (sin kx))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (sin.f64 kx))
(/ kx (sin ky))
(/.f64 kx (sin.f64 ky))
(* kx (+ (* -1/6 (/ (pow kx 2) (sin ky))) (/ 1 (sin ky))))
(.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (/.f64 (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)) (sin.f64 ky))))
(* kx (+ (* (pow kx 2) (- (* 1/120 (/ (pow kx 2) (sin ky))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal 1/120 binary64) (*.f64 kx kx)) (sin.f64 ky)) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky))))))
(* kx (+ (* (pow kx 2) (- (* (pow kx 2) (+ (* -1/5040 (/ (pow kx 2) (sin ky))) (* 1/120 (/ 1 (sin ky))))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (sin ky))))
(.f64 kx (+.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx)) (sin.f64 ky)) (/.f64 #s(literal 1/120 binary64) (sin.f64 ky)))) (/.f64 #s(literal -1/6 binary64) (sin.f64 ky))))))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
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(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* 1/6 (* (pow ky 2) (sin kx)))) ky)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky)
(/ (+ (sin kx) (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/36 (sin kx)) (* 1/120 (sin kx))))) (* -1/6 (sin kx))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) (.f64 (sin.f64 kx) #s(literal 7/360 binary64))) (.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (- (* (pow ky 2) (- (* -1 (* (pow ky 2) (+ (* -1/5040 (sin kx)) (+ (* 1/720 (sin kx)) (* 1/6 (+ (* -1/36 (sin kx)) (* 1/120 (sin kx)))))))) (+ (* -1/36 (sin kx)) (* 1/120 (sin kx))))) (* -1/6 (sin kx))))) ky)
(/.f64 (+.f64 (sin.f64 kx) (.f64 (.f64 ky ky) (+.f64 (.f64 ky (.f64 ky (+.f64 (.f64 (.f64 ky ky) (neg.f64 (+.f64 (.f64 (sin.f64 kx) #s(literal -7/2160 binary64)) (.f64 (sin.f64 kx) #s(literal 1/840 binary64))))) (.f64 (sin.f64 kx) #s(literal 7/360 binary64))))) (.f64 (sin.f64 kx) #s(literal 1/6 binary64))))) ky)
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(/ (sin kx) (sin ky))
(/.f64 (sin.f64 kx) (sin.f64 ky))
(* (* 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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
th
(+ th (* -1/2 (/ (* (pow kx 2) th) (pow (sin ky) 2))))
(+.f64 th (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 th (*.f64 kx kx))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 th (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))))
(+ th (* (pow kx 2) (+ (* -1/2 (/ th (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* th (* (pow (sin ky) 2) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* th (* (pow (sin ky) 2) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 th (.f64 kx (.f64 kx (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(/ (* ky th) (sin kx))
(*.f64 th (/.f64 ky (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (*.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 ky (.f64 ky (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx))) (.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(.f64 ky (+.f64 (/.f64 th (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) th) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (/.f64 th (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal 1/120 binary64) (/.f64 th (sin.f64 kx))) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (+.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 th (sin.f64 kx))) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (.f64 (.f64 ky ky) (+.f64 (.f64 th (.f64 (.f64 (sin.f64 kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))))))) #s(literal -1/2 binary64))) (+.f64 (.f64 (.f64 (.f64 #s(literal -1/12 binary64) th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (+.f64 (.f64 #s(literal -1/240 binary64) (/.f64 th (pow.f64 (sin.f64 kx) #s(literal 3 binary64)))) (*.f64 #s(literal -1/5040 binary64) (/.f64 th (sin.f64 kx)))))))))))))))
(* (* 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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #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) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (/ (pow kx 2) (pow (sin ky) 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))
(+ 1 (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (pow (sin ky) 2))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(+ 1 (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (pow (sin ky) 2))))) (* 1/2 (/ 1 (pow (sin ky) 2))))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 kx (.f64 kx (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (+.f64 #s(literal 2/45 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))))))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(/ (sin kx) ky)
(/.f64 (sin.f64 kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (+.f64 (*.f64 (sin.f64 kx) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (+.f64 (.f64 (sin.f64 kx) #s(literal 7/360 binary64)) (/.f64 #s(literal 1/12 binary64) (sin.f64 kx)))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (.f64 (sin.f64 kx) #s(literal 31/15120 binary64)) (/.f64 #s(literal 7/720 binary64) (sin.f64 kx))) (+.f64 (/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)) (/.f64 (+.f64 #s(literal -1/36 binary64) (*.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))))) (sin.f64 kx)))))))))) ky)
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
(* (/ 1 (sin ky)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 ky))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))
(sin ky)
(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.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)

eval153.0ms (1.2%)

Memory: -1.9MiB live, 196.2MiB allocated
Compiler: Compiled 17 018 to 1 967 computations (88.4% saved)

prune166.0ms (1.3%)

Memory

6.2MiB live, 357.6MiB allocated

Pruning

72 alts after pruning (66 fresh and 6 done)

	Pruned	Kept	Total
New	958	48	1 006
Fresh	13	18	31
Picked	1	4	5
Done	0	2	2
Total	972	72	1 044

Accuracy

100.0%

Counts

1 044 → 72

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
	29.1%	(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	37.1%	(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	52.5%	(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	34.0%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
▶	20.1%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
	18.9%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
	95.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	31.9%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	21.3%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	16.1%	(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
	18.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	22.9%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	35.5%	(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
	34.4%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
✓	37.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	26.5%	(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
	31.1%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	99.5%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
▶	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
	37.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	52.7%	(/.f64 th (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 ky)))
	32.3%	(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
	32.2%	(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
	29.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
	29.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
▶	29.2%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
✓	52.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	29.3%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
	32.4%	(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
	21.5%	(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
	21.5%	(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
	21.7%	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	20.1%	(/.f64 th (/.f64 (sin.f64 kx) ky))
	23.1%	(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	94.3%	(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	31.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
	34.7%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
	12.5%	(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
	18.8%	(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
	19.9%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
	52.0%	(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	2.3%	(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	56.1%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
	54.8%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
	29.2%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	37.1%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	34.8%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	52.7%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
	57.1%	(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
	37.1%	(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
	52.6%	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	25.3%	(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
	25.4%	(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
	34.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	19.7%	(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
	20.1%	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	25.8%	(*.f64 (/.f64 ky kx) (sin.f64 th))
	34.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
	12.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
▶	21.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
	21.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
	26.5%	(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
	19.6%	(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
▶	17.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
✓	29.2%	(sin.f64 th)
✓	17.1%	th

Compiler

Compiled 2 141 to 1 451 computations (32.2% saved)

simplify587.0ms (4.5%)

Memory

-27.2MiB live, 494.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f64 kx)
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky))
✓	cost-diff	0	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
✓	cost-diff	0	(.f64 #s(literal 1/6 binary64) (.f64 kx kx))
✓	cost-diff	0	(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64))
✓	cost-diff	0	(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	cost-diff	128	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
✓	cost-diff	0	(.f64 (.f64 kx kx) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (.f64 ky ky))))))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (.f64 ky ky)))))))))
✓	cost-diff	0	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
✓	cost-diff	0	(*.f64 th #s(literal -1/6 binary64))
✓	cost-diff	0	(.f64 th (.f64 th #s(literal -1/6 binary64)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))
✓	cost-diff	0	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
✓	cost-diff	0	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	cost-diff	0	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
✓	cost-diff	0	(sin.f64 ky)
✓	cost-diff	0	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))

Rules

14 620×	`accelerator-lowering-fma.f32`
14 620×	`accelerator-lowering-fma.f64`
6 088×	`+-lowering-+.f64`
6 088×	`+-lowering-+.f32`
3 180×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	415
1	129	415
2	353	391
3	1148	391
4	2704	391
5	4823	391
6	5107	391
7	5172	389
8	5206	389
9	5212	389
10	5227	389
0	8186	307

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize219.0ms (1.7%)

Memory

42.8MiB live, 196.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
✓	accuracy	99.8%	(/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky))
✓	accuracy	99.7%	(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
✓	accuracy	98.0%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
✓	accuracy	99.7%	(.f64 #s(literal 1/6 binary64) (.f64 kx kx))
✓	accuracy	99.7%	(*.f64 (sin.f64 ky) (sin.f64 th))
✓	accuracy	87.3%	(.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th)))
✓	accuracy	79.6%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
✓	accuracy	99.8%	(.f64 #s(literal 2/45 binary64) (.f64 ky ky))
✓	accuracy	99.6%	(.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))
✓	accuracy	97.4%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
✓	accuracy	71.7%	(/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (.f64 ky ky))))))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))
✓	accuracy	99.9%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
✓	accuracy	99.8%	(.f64 th (.f64 th #s(literal -1/6 binary64)))
✓	accuracy	99.5%	(*.f64 th #s(literal -1/6 binary64))
✓	accuracy	100.0%	(sin.f64 ky)
✓	accuracy	99.9%	(hypot.f64 (sin.f64 kx) (sin.f64 ky))
✓	accuracy	99.7%	(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
✓	accuracy	99.5%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))

Samples

134.0ms

256×

valid

Compiler

Compiled 354 to 44 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-add: 36.0ms (32.6% of total)

ival-mult: 28.0ms (25.4% of total)

ival-sin: 17.0ms (15.4% of total)

const: 12.0ms (10.9% of total)

ival-div: 9.0ms (8.2% of total)

ival-hypot: 7.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

series95.0ms (0.7%)

Memory

-8.1MiB live, 65.8MiB allocated

Counts

25 → 516

Calls

Call 1

Inputs
#<alt (/ (sin ky) (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th)))>
#<alt (sin ky)>
#<alt (/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky))))>
#<alt (* th (+ 1 (* th (* th -1/6))))>
#<alt (+ 1 (* th (* th -1/6)))>
#<alt (* th (* th -1/6))>
#<alt (* th -1/6)>
#<alt (* (+ 1 (/ (* (* kx kx) -1/2) (* (* ky ky) (+ 1 (* ky (* ky (+ -1/3 (* 2/45 (* ky ky))))))))) (sin th))>
#<alt (+ 1 (/ (* (* kx kx) -1/2) (* (* ky ky) (+ 1 (* ky (* ky (+ -1/3 (* 2/45 (* ky ky)))))))))>
#<alt (/ (* (* kx kx) -1/2) (* (* ky ky) (+ 1 (* ky (* ky (+ -1/3 (* 2/45 (* ky ky))))))))>
#<alt (* (* kx kx) -1/2)>
#<alt (/ (* (+ (* 1/6 (* kx kx)) 1) (* (sin ky) (sin th))) kx)>
#<alt (* (+ (* 1/6 (* kx kx)) 1) (* (sin ky) (sin th)))>
#<alt (+ (* 1/6 (* kx kx)) 1)>
#<alt (* 1/6 (* kx kx))>
#<alt (/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (* ky (+ 1 (* -1/6 (* ky ky)))) (* ky (+ 1 (* -1/6 (* ky ky))))))) (sin ky)))>
#<alt (/ (sqrt (+ (* (sin kx) (sin kx)) (* (* ky (+ 1 (* -1/6 (* ky ky)))) (* ky (+ 1 (* -1/6 (* ky ky))))))) (sin ky))>
#<alt (sqrt (+ (* (sin kx) (sin kx)) (* (* ky (+ 1 (* -1/6 (* ky ky)))) (* ky (+ 1 (* -1/6 (* ky ky)))))))>
#<alt (sin kx)>
#<alt (* ky (+ -1/3 (* 2/45 (* ky ky))))>
#<alt (* 2/45 (* ky ky))>
#<alt (* (sin ky) (sin th))>
#<alt (* -1/6 (* ky ky))>
#<alt (* ky (+ 1 (* -1/6 (* ky ky))))>

Outputs
#<alt (/ (* ky (sin th)) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))>
#<alt (* 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))))>
#<alt (* 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))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (pow (sin ky) 2))))>
#<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)))))))))))>
#<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))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* 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)))))))>
#<alt (* 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))))))))))>
#<alt (* 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))))))))))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt (* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))>
#<alt (* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (sin ky)>
#<alt (/ (sin ky) (sin th))>
#<alt (+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))>
#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (sin kx) (sin th))>
#<alt (+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))>
#<alt (+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))>
#<alt (+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)>
#<alt (/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))>
#<alt (sin ky)>
#<alt (+ (sin ky) (* 1/2 (/ (pow kx 2) (sin ky))))>
#<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))))))>
#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (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))))))>
#<alt (+ (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))))))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))>
#<alt th>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* th (+ 1 (* -1/6 (pow th 2))))>
#<alt (* -1/6 (pow th 3))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 3) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 3))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt (* -1 (* (pow th 3) (- 1/6 (/ 1 (pow th 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (+ 1 (* -1/6 (pow th 2)))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* (pow th 2) (- (/ 1 (pow th 2)) 1/6))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 (pow th 2))>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (* -1/6 th)>
#<alt (sin th)>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))>
#<alt (+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))>
#<alt (* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))))))) (pow ky 2))>
#<alt (sin th)>
#<alt (+ (sin th) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))))>
#<alt (+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6)))))>
#<alt (+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (+ (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))) (* 1/2 (/ (* (sin th) (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (pow ky 10))))))>
#<alt (sin th)>
#<alt (+ (sin th) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))))>
#<alt (+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6)))))>
#<alt (+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (+ (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))) (* 1/2 (/ (* (sin th) (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (pow ky 10))))))>
#<alt (* th (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))))))))>
#<alt (* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))>
#<alt (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (* -1/6 (pow kx 2))))) (pow ky 2))>
#<alt (/ (+ (* -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))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ 1 (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 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))>
#<alt 1>
#<alt (+ 1 (* -45/4 (/ (pow kx 2) (pow ky 6))))>
#<alt (+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (* -45/4 (/ (pow kx 2) (pow ky 6)))))>
#<alt (+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (+ (* -45/4 (/ (pow kx 2) (pow ky 6))) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 10))))))>
#<alt 1>
#<alt (+ 1 (* -45/4 (/ (pow kx 2) (pow ky 6))))>
#<alt (+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (* -45/4 (/ (pow kx 2) (pow ky 6)))))>
#<alt (+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (+ (* -45/4 (/ (pow kx 2) (pow ky 6))) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 10))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))>
#<alt (* -1/2 (/ (pow kx 2) (pow ky 2)))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* 1/2 (* (pow ky 2) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))))) (pow ky 2))>
#<alt (/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 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))>
#<alt (* -45/4 (/ (pow kx 2) (pow ky 6)))>
#<alt (/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (* -45/4 (pow kx 2))) (pow ky 6))>
#<alt (/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))))) (pow ky 6))>
#<alt (/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (+ (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))) (* 1/2 (/ (+ (* 15/2 (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (* 30375/8 (pow kx 2))) (pow ky 6)))))) (pow ky 6))>
#<alt (* -45/4 (/ (pow kx 2) (pow ky 6)))>
#<alt (/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (* -45/4 (pow kx 2))) (pow ky 6))>
#<alt (/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))))) (pow ky 6))>
#<alt (/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (+ (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))) (* 1/2 (/ (+ (* 15/2 (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (* 30375/8 (pow kx 2))) (pow ky 6)))))) (pow ky 6))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (* -1/2 (pow kx 2))>
#<alt (/ (* (sin ky) (sin th)) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)>
#<alt (* 1/6 (* kx (* (sin ky) (sin th))))>
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* 1/6 (* kx (* (sin ky) (sin th))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))>
#<alt (* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))>
#<alt (/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)>
#<alt (* (sin ky) (sin th))>
#<alt (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))>
#<alt (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))>
#<alt (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))>
#<alt (* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))>
#<alt (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* ky (+ (* -1/6 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))>
#<alt (* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))))))>
#<alt (* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))))))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* th (+ (* -1/6 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))>
#<alt (* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))))))>
#<alt (* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))))))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow kx 2)))>
#<alt (+ 1 (* 1/6 (pow kx 2)))>
#<alt (+ 1 (* 1/6 (pow kx 2)))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* 1/6 (pow kx 2))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))>
#<alt (/ (* ky th) (sin kx))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))>
#<alt (* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))>
#<alt (* 6 (/ (* th (sin ky)) (pow ky 3)))>
#<alt (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3))>
#<alt (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3))>
#<alt (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3))>
#<alt (* -6 (/ (* th (sin ky)) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3)))>
#<alt (* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3)))>
#<alt (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky))>
#<alt (+ (* 1/2 (/ (pow kx 2) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (* 1/2 (/ 1 (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))>
#<alt (+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))))) (* 1/2 (/ 1 (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))>
#<alt (/ (sin kx) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)>
#<alt (/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)>
#<alt (* 1/6 (/ (pow ky 3) (sin ky)))>
#<alt (* (pow ky 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow ky 2) (sin ky)))))>
#<alt (* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow ky 2) (sin ky)))))>
#<alt (* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (+ (* 18 (/ (pow (sin kx) 2) (* (pow ky 8) (sin ky)))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow ky 2) (sin ky)))))>
#<alt (* -1/6 (/ (pow ky 3) (sin ky)))>
#<alt (* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow ky 2) (sin ky))))))>
#<alt (* -1 (* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow ky 2) (sin ky))))))>
#<alt (* -1 (* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (+ (* 18 (/ (pow (sin kx) 2) (* (pow ky 8) (sin ky)))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow ky 2) (sin ky))))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (+ (* 1/2 (/ (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))>
#<alt (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))>
#<alt (+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))>
#<alt (sin kx)>
#<alt (+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))>
#<alt (+ (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))))))>
#<alt (+ (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) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))>
#<alt (* 1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))>
#<alt (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))>
#<alt (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))>
#<alt kx>
#<alt (* kx (+ 1 (* -1/6 (pow kx 2))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))>
#<alt (* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (sin kx)>
#<alt (* -1/3 ky)>
#<alt (* ky (- (* 2/45 (pow ky 2)) 1/3))>
#<alt (* ky (- (* 2/45 (pow ky 2)) 1/3))>
#<alt (* ky (- (* 2/45 (pow ky 2)) 1/3))>
#<alt (* 2/45 (pow ky 3))>
#<alt (* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))>
#<alt (* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))>
#<alt (* 2/45 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))>
#<alt (* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))>
#<alt (* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* 2/45 (pow ky 2))>
#<alt (* ky (sin th))>
#<alt (* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))>
#<alt (* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* th (sin ky))>
#<alt (* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))>
#<alt (* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* (sin ky) (sin th))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt (* -1/6 (pow ky 2))>
#<alt ky>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* ky (+ 1 (* -1/6 (pow ky 2))))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))>
#<alt (* -1/6 (pow ky 3))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>
#<alt (* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))>

Calls

129 calls:

Time	Variable		Point	Expression
17.0ms	th	@	0	(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (* ky (+ 1 (* -1/6 (* ky ky)))) (* ky (+ 1 (* -1/6 (* ky ky))))))) (sin ky)))
15.0ms	kx	@	0	(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (* ky (+ 1 (* -1/6 (* ky ky)))) (* ky (+ 1 (* -1/6 (* ky ky))))))) (sin ky)))
14.0ms	kx	@	0	(/ (sqrt (+ (* (sin kx) (sin kx)) (* (sin ky) (sin ky)))) (sin th))
2.0ms	ky	@	0	(/ (* (+ (* 1/6 (* kx kx)) 1) (* (sin ky) (sin th))) kx)
2.0ms	kx	@	inf	(/ th (/ (sqrt (+ (* (sin kx) (sin kx)) (* (* ky (+ 1 (* -1/6 (* ky ky)))) (* ky (+ 1 (* -1/6 (* ky ky))))))) (sin ky)))

rewrite474.0ms (3.7%)

Memory

11.4MiB live, 486.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 950×	`-lowering-.f32`
5 950×	`-lowering-.f64`
3 922×	`/-lowering-/.f32`
3 922×	`/-lowering-/.f64`
3 548×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	280
1	294	280
2	2570	264
0	9084	216

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 473

Calls

Call 1

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

Outputs
(exp.f64 (.f64 (log.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (.f64 (sin.f64 ky) (sin.f64 th)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(/.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky))) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(/.f64 (*.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (*.f64 (sin.f64 ky) (sin.f64 th))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th)))))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) #s(literal 1 binary64)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (sin.f64 ky)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(exp.f64 (*.f64 (log.f64 (sin.f64 ky)) #s(literal 1 binary64)))
(sin.f64 ky)
(pow.f64 (sin.f64 ky) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (-.f64 #s(literal 0 binary64) (sin.f64 th)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (neg.f64 (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(/.f64 (*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) #s(literal 1 binary64)) (sin.f64 th))
(pow.f64 (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) #s(literal 1 binary64))
(pow.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)))
(*.f64 (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))
(*.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (sin.f64 th))))
(exp.f64 (.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))
(hypot.f64 (sin.f64 ky) (sin.f64 kx))
(hypot.f64 (sin.f64 ky) (exp.f64 (log.f64 (sin.f64 kx))))
(hypot.f64 (sin.f64 kx) (sin.f64 ky))
(hypot.f64 (sin.f64 kx) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (sin.f64 ky))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 kx))) (exp.f64 (log.f64 (sin.f64 ky))))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (sin.f64 kx))
(hypot.f64 (exp.f64 (log.f64 (sin.f64 ky))) (exp.f64 (log.f64 (sin.f64 kx))))
(sqrt.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #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 binary64) (sqrt.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (+.f64 (.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 kx #s(literal 2 binary64))))))) #s(literal 2 binary64))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 6 binary64)) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 ky) #s(literal 4 binary64)) (pow.f64 (sin.f64 kx) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))
(pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #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 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))))) #s(literal 1/2 binary64))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(.f64 (hypot.f64 (pow.f64 (sin.f64 ky) #s(literal 3 binary64)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) #s(literal 2 binary64)))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 kx) #s(literal 4 binary64)) (pow.f64 (sin.f64 ky) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal 2 binary64)))))
(.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64)))))) #s(literal 1/4 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (.f64 kx #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64)))))) #s(literal 1/4 binary64)))
(+.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(+.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th)
(fma.f64 th #s(literal 1 binary64) (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(fma.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)) th)
(fma.f64 #s(literal 1 binary64) th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(fma.f64 (.f64 th #s(literal -1/6 binary64)) (.f64 th th) th)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) th th)
(fma.f64 (.f64 th th) (.f64 th #s(literal -1/6 binary64)) th)
(fma.f64 (.f64 th (.f64 th th)) #s(literal -1/6 binary64) th)
(/.f64 (+.f64 (.f64 th (.f64 th th)) (.f64 (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64))) (.f64 th (.f64 th th)))) (+.f64 (.f64 th th) (-.f64 (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(/.f64 (.f64 th (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))) th)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))
(+.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64))
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(.f64 #s(literal 1 binary64) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal 1/6 binary64)))) kx)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal 1/6 binary64)))) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) kx))
(.f64 (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal 1/6 binary64)))))) (/.f64 #s(literal 1 binary64) kx))
(.f64 (-.f64 #s(literal 0 binary64) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal 1/6 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) kx)))
(.f64 (/.f64 #s(literal 1 binary64) kx) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal 1/6 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) kx) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (*.f64 kx #s(literal 1/6 binary64))))))) #s(literal -1 binary64)))
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(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (/.f64 (sin.f64 th) kx))
(.f64 (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))))
(+.f64 (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)))
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(fma.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx (.f64 kx #s(literal 1/6 binary64))) (*.f64 (sin.f64 ky) (sin.f64 th))))
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(fma.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (.f64 kx (.f64 kx #s(literal 1/6 binary64))) (.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) #s(literal 1 binary64)))
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(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (sin.f64 th)))
(.f64 (.f64 (sin.f64 ky) (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (sin.f64 th))
(.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (sin.f64 th)) (sin.f64 ky))
(+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))
(+.f64 (.f64 kx (.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (+.f64 (.f64 kx (.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 kx (.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64))))
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(fma.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1/6 binary64) (*.f64 kx kx) #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 kx kx) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (.f64 kx (.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 kx #s(literal 1/6 binary64)) kx #s(literal 1 binary64))
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(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 kx kx))
(.f64 #s(literal 1/6 binary64) (.f64 (*.f64 kx kx) #s(literal 1 binary64)))
(.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal 1 binary64))
(.f64 (.f64 kx #s(literal 1/6 binary64)) kx)
(.f64 (.f64 kx #s(literal 1/6 binary64)) (*.f64 kx #s(literal 1 binary64)))
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(fma.f64 (.f64 ky #s(literal 2/45 binary64)) (.f64 ky ky) (*.f64 ky #s(literal -1/3 binary64)))
(fma.f64 (.f64 ky (.f64 ky ky)) #s(literal 2/45 binary64) (*.f64 ky #s(literal -1/3 binary64)))
(/.f64 (+.f64 (.f64 #s(literal -1/27 binary64) (.f64 ky (.f64 ky ky))) (.f64 (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 ky (.f64 ky ky))) #s(literal 8/91125 binary64)) (.f64 ky (.f64 ky ky)))) (+.f64 (.f64 (.f64 ky #s(literal -1/3 binary64)) (.f64 ky #s(literal -1/3 binary64))) (-.f64 (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal 2/45 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal 2/45 binary64))))) (.f64 (.f64 ky #s(literal -1/3 binary64)) (.f64 ky (.f64 ky (*.f64 ky #s(literal 2/45 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 ky #s(literal -1/3 binary64)) (.f64 ky #s(literal -1/3 binary64))) (.f64 (.f64 ky (.f64 ky (.f64 ky #s(literal 2/45 binary64)))) (.f64 ky (.f64 ky (.f64 ky #s(literal 2/45 binary64)))))) (-.f64 (.f64 ky #s(literal -1/3 binary64)) (.f64 ky (.f64 ky (.f64 ky #s(literal 2/45 binary64))))))
(/.f64 (.f64 ky (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 ky (.f64 ky ky))) #s(literal 8/91125 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 ky (.f64 ky #s(literal 2/45 binary64))) (-.f64 (.f64 ky (.f64 ky #s(literal 2/45 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (.f64 ky (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) #s(literal 4/2025 binary64)))) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/45 binary64) (*.f64 ky ky))))
(/.f64 (.f64 (+.f64 #s(literal -1/27 binary64) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 ky (.f64 ky ky))) #s(literal 8/91125 binary64))) ky) (+.f64 #s(literal 1/9 binary64) (.f64 (.f64 ky (.f64 ky #s(literal 2/45 binary64))) (-.f64 (.f64 ky (.f64 ky #s(literal 2/45 binary64))) #s(literal -1/3 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) #s(literal 4/2025 binary64))) ky) (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal -2/45 binary64) (*.f64 ky ky))))
(.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky #s(literal 2/45 binary64)))))
(.f64 (+.f64 #s(literal -1/3 binary64) (.f64 ky (*.f64 ky #s(literal 2/45 binary64)))) ky)
(.f64 ky (.f64 ky #s(literal 2/45 binary64)))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(.f64 #s(literal 2/45 binary64) (.f64 ky ky))
(.f64 (.f64 ky #s(literal 2/45 binary64)) ky)
(-.f64 (/.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (/.f64 (cos.f64 (+.f64 ky th)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))))
(/.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (-.f64 (cos.f64 (-.f64 th ky)) (cos.f64 (+.f64 ky th))) #s(literal 2 binary64))
(/.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 (cos.f64 (-.f64 ky th)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (cos.f64 (+.f64 ky th)))) #s(literal 4 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th)))) #s(literal -1 binary64))
(*.f64 (sin.f64 ky) (sin.f64 th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(*.f64 (-.f64 (cos.f64 (-.f64 ky th)) (cos.f64 (+.f64 ky th))) #s(literal 1/2 binary64))
(.f64 ky (.f64 ky #s(literal -1/6 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))
(.f64 #s(literal -1/6 binary64) (.f64 ky ky))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64))
(.f64 (.f64 ky #s(literal -1/6 binary64)) ky)
(.f64 (.f64 #s(literal 1 binary64) (*.f64 ky #s(literal -1/6 binary64))) ky)
(+.f64 ky (.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(+.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) ky)
(exp.f64 (.f64 (log.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) #s(literal 1 binary64)))
(fma.f64 ky #s(literal 1 binary64) (.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(fma.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky)
(fma.f64 #s(literal 1 binary64) ky (.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(fma.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky ky)) ky)
(fma.f64 (.f64 ky ky) (.f64 ky #s(literal -1/6 binary64)) ky)
(fma.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) ky ky)
(fma.f64 (.f64 ky #s(literal -1/6 binary64)) (.f64 ky ky) ky)
(fma.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/6 binary64) ky)
(/.f64 (+.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 (.f64 ky (.f64 ky ky)) (.f64 ky (.f64 ky ky))) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64)))) (+.f64 (.f64 ky ky) (-.f64 (.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky (.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))))
(/.f64 (-.f64 (.f64 ky ky) (.f64 (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))) (.f64 ky (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (-.f64 ky (.f64 ky (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))))
(/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)))))
(/.f64 (.f64 ky (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) #s(literal 1/36 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky (.f64 ky ky)) (.f64 (.f64 ky (.f64 ky ky)) #s(literal -1/216 binary64)))) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 ky ky) (.f64 ky ky)) #s(literal 1/36 binary64))) ky) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky)))) #s(literal 1 binary64))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))
(.f64 ky (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) #s(literal 1 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) ky)
(.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))) #s(literal 1 binary64)) ky)

simplify551.0ms (4.3%)

Memory

-20.7MiB live, 893.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 426×	`accelerator-lowering-fma.f32`
8 426×	`accelerator-lowering-fma.f64`
6 390×	`-lowering-.f32`
6 390×	`-lowering-.f64`
6 332×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	906	9930
1	2966	9597
0	8057	8639

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(/ (* ky (sin th)) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (* -1/6 (/ (sin th) (sin kx))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ (sin th) (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(* (* (sin 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) (* -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 (/ 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)))))
(* (* 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)))))
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 ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(sin ky)
(/ (sin ky) (sin th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (sin kx) (sin th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(+ (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (* (sin kx) (sin th)))) (* 1/2 (/ (* (pow ky 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (* (sin kx) (sin th)))))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 th) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* 1/6 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 7/360 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))) th)
(/ (+ (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))) (* (pow th 2) (+ (* 1/6 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2)))) (* (pow th 2) (+ (* 31/15120 (* (pow th 2) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))) (* 7/360 (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))))))) th)
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin 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))))))
(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)))
(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 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))))))
(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)))
(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)))
th
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* th (+ 1 (* -1/6 (pow th 2))))
(* -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 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
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (pow th 2)))
(+ 1 (* -1/6 (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))
(* -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))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 (pow th 2))
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(* -1/6 th)
(sin th)
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
(+ (sin th) (* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))
(* (pow kx 2) (+ (* -1/2 (/ (sin th) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (/ (sin th) (pow kx 2))))
(* -1/2 (/ (* (pow kx 2) (sin th)) (pow ky 2)))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (* (sin th) (+ 1 (* -1/6 (pow kx 2)))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* 1/2 (* (pow ky 2) (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2)))))) (* (sin th) (+ 1 (* -1/6 (pow kx 2))))))) (pow ky 2))
(/ (+ (* -1/2 (* (pow kx 2) (sin th))) (* (pow ky 2) (+ (* (sin th) (+ 1 (* -1/6 (pow kx 2)))) (* (pow ky 2) (+ (* 1/2 (* (sin th) (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))) (* 1/2 (* (pow ky 2) (* (sin th) (+ (* 2/135 (pow kx 2)) (* 1/3 (+ (* -1/9 (pow kx 2)) (* 2/45 (pow kx 2))))))))))))) (pow ky 2))
(sin th)
(+ (sin th) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))))
(+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6)))))
(+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (+ (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))) (* 1/2 (/ (* (sin th) (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (pow ky 10))))))
(sin th)
(+ (sin th) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))))
(+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6)))))
(+ (sin th) (+ (* -675/8 (/ (* (pow kx 2) (sin th)) (pow ky 8))) (+ (* -45/4 (/ (* (pow kx 2) (sin th)) (pow ky 6))) (* 1/2 (/ (* (sin th) (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (pow ky 10))))))
(* th (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (* -1/6 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))) (* 1/120 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))))))))
(* th (+ 1 (+ (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))) (* (pow th 2) (+ (* -1/6 (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))) (* 1/120 (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (sin th) (+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
1
(+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
(+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
(+ 1 (* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3)))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* (pow kx 2) (- (/ 1 (pow kx 2)) (* 1/2 (/ 1 (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))))
(* -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) (+ (* 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))
1
(+ 1 (* -45/4 (/ (pow kx 2) (pow ky 6))))
(+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (* -45/4 (/ (pow kx 2) (pow ky 6)))))
(+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (+ (* -45/4 (/ (pow kx 2) (pow ky 6))) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 10))))))
1
(+ 1 (* -45/4 (/ (pow kx 2) (pow ky 6))))
(+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (* -45/4 (/ (pow kx 2) (pow ky 6)))))
(+ 1 (+ (* -675/8 (/ (pow kx 2) (pow ky 8))) (+ (* -45/4 (/ (pow kx 2) (pow ky 6))) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 10))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (* (pow ky 2) (+ 1 (* (pow ky 2) (- (* 2/45 (pow ky 2)) 1/3))))))
(* -1/2 (/ (pow kx 2) (pow ky 2)))
(/ (+ (* -1/2 (pow kx 2)) (* -1/6 (* (pow kx 2) (pow ky 2)))) (pow ky 2))
(/ (+ (* -1/2 (pow kx 2)) (* (pow ky 2) (+ (* -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) (+ (* -1/6 (pow kx 2)) (* (pow ky 2) (+ (* 1/2 (* (pow ky 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))
(* -45/4 (/ (pow kx 2) (pow ky 6)))
(/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (* -45/4 (pow kx 2))) (pow ky 6))
(/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))))) (pow ky 6))
(/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (+ (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))) (* 1/2 (/ (+ (* 15/2 (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (* 30375/8 (pow kx 2))) (pow ky 6)))))) (pow ky 6))
(* -45/4 (/ (pow kx 2) (pow ky 6)))
(/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (* -45/4 (pow kx 2))) (pow ky 6))
(/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))))) (pow ky 6))
(/ (+ (* -675/8 (/ (pow kx 2) (pow ky 2))) (+ (* -45/4 (pow kx 2)) (+ (* 1/2 (/ (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2))) (pow ky 4))) (* 1/2 (/ (+ (* 15/2 (+ (* -10125/8 (pow kx 2)) (* 2025/4 (pow kx 2)))) (* 30375/8 (pow kx 2))) (pow ky 6)))))) (pow ky 6))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(* -1/2 (pow kx 2))
(/ (* (sin ky) (sin th)) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(/ (+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th))) kx)
(* 1/6 (* kx (* (sin ky) (sin th))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* kx (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* 1/6 (* kx (* (sin ky) (sin th))))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(* -1 (* kx (+ (* -1 (/ (* (sin ky) (sin th)) (pow kx 2))) (* -1/6 (* (sin ky) (sin th))))))
(/ (* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(* ky (+ (* -1/6 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/6 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow ky 2) (+ (* -1/5040 (/ (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)
(* th (+ (* -1/6 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* 1/120 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(* (sin ky) (sin th))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* ky (+ (* -1/6 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))
(* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))))))
(* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))))))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))
(* th (+ (* -1/6 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))
(* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))))))
(* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))))))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
1
(+ 1 (* 1/6 (pow kx 2)))
(+ 1 (* 1/6 (pow kx 2)))
(+ 1 (* 1/6 (pow kx 2)))
(* 1/6 (pow kx 2))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* 1/6 (pow kx 2))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* 1/6 (pow kx 2))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(/ (* ky th) (sin kx))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
(* 6 (/ (* th (sin ky)) (pow ky 3)))
(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3))
(/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3))
(* -6 (/ (* th (sin ky)) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3)))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3)))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky))
(+ (* 1/2 (/ (pow kx 2) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (* 1/2 (/ 1 (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))))) (* 1/2 (/ 1 (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(* (/ 1 (sin ky)) (sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2))))
(/ (sin kx) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (* 1/2 (/ 1 (sin kx)))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (* 1/12 (/ 1 (sin kx)))))))))) ky)
(/ (+ (sin kx) (* (pow ky 2) (+ (* 1/6 (sin kx)) (+ (* 1/2 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 7/360 (sin kx)) (+ (* 1/12 (/ 1 (sin kx))) (* (pow ky 2) (+ (* -1/12 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (+ (* 31/15120 (sin kx)) (+ (* 7/720 (/ 1 (sin kx))) (* 1/2 (/ (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2)))) (sin kx))))))))))))))) ky)
(* 1/6 (/ (pow ky 3) (sin ky)))
(* (pow ky 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow ky 2) (sin ky)))))
(* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow ky 2) (sin ky)))))
(* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (+ (* 18 (/ (pow (sin kx) 2) (* (pow ky 8) (sin ky)))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow ky 2) (sin ky)))))
(* -1/6 (/ (pow ky 3) (sin ky)))
(* -1 (* (pow ky 3) (- (* 1/6 (/ 1 (sin ky))) (/ 1 (* (pow ky 2) (sin ky))))))
(* -1 (* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (* 1/6 (/ 1 (sin ky)))) (/ 1 (* (pow ky 2) (sin ky))))))
(* -1 (* (pow ky 3) (- (+ (* 3 (/ (pow (sin kx) 2) (* (pow ky 6) (sin ky)))) (+ (* 18 (/ (pow (sin kx) 2) (* (pow ky 8) (sin ky)))) (* 1/6 (/ 1 (sin ky))))) (/ 1 (* (pow ky 2) (sin ky))))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(+ (* 1/2 (/ (pow kx 2) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))
(+ (* ky (+ 1 (* -1/6 (pow ky 2)))) (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))))) (* ky (+ 1 (* -1/6 (pow ky 2)))))))) (* 1/2 (/ 1 (* ky (+ 1 (* -1/6 (pow ky 2)))))))))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sqrt (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))
(sin kx)
(+ (sin kx) (* 1/2 (/ (pow ky 2) (sin kx))))
(+ (sin kx) (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (sin kx))) (* 1/2 (/ 1 (sin kx))))))
(+ (sin kx) (* (pow ky 2) (+ (* (pow ky 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (sin kx))) (* 1/2 (/ (* (pow ky 2) (- 1/36 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2)))) (pow (sin kx) 2))))) (sin kx))))) (* 1/2 (/ 1 (sin kx))))))
(* 1/6 (pow ky 3))
(* (pow ky 3) (- 1/6 (/ 1 (pow ky 2))))
(* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2))))
(* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2))))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (* 3 (/ (pow (sin kx) 2) (pow ky 6)))) (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(sin kx)
(* -1/3 ky)
(* ky (- (* 2/45 (pow ky 2)) 1/3))
(* ky (- (* 2/45 (pow ky 2)) 1/3))
(* ky (- (* 2/45 (pow ky 2)) 1/3))
(* 2/45 (pow ky 3))
(* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))
(* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))
(* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))
(* 2/45 (pow ky 3))
(* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))
(* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))
(* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* 2/45 (pow ky 2))
(* ky (sin th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* th (sin ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* (sin ky) (sin th))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
(* -1/6 (pow ky 2))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(* -1/6 (pow ky 3))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(* -1/6 (pow ky 3))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))

Outputs
(/ (* ky (sin th)) (sin kx))
(/.f64 (*.f64 ky (sin.f64 th)) (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 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 (sin.f64 th) #s(literal -1/6 binary64)) (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))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))))))))))))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ (sin th) (pow (sin kx) 3))) (+ (* -1/6 (/ (sin th) (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ (sin th) (sin kx))) (+ (* 1/12 (/ (sin th) (pow (sin kx) 3))) (+ (* 1/2 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* (sin kx) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 2/45 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* (sin kx) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ (sin th) (pow (sin kx) 3))) (* -1/5040 (/ (sin th) (sin kx)))))))))))))) (/ (sin th) (sin kx))))
(.f64 ky (+.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (.f64 (.f64 ky ky) (+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 (.f64 ky ky) (+.f64 (+.f64 (/.f64 (.f64 (sin.f64 th) #s(literal 1/120 binary64)) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal 1/12 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (.f64 (.f64 ky ky) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 kx) #s(literal 8 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64)))))))) (+.f64 (.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 kx)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 kx) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 kx) #s(literal 6 binary64))))) #s(literal -1/12 binary64)) (+.f64 (/.f64 (.f64 #s(literal -1/240 binary64) (sin.f64 th)) (pow.f64 (sin.f64 kx) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/5040 binary64) (sin.f64 th)) (sin.f64 kx)))))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (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))))
(+.f64 (sin.f64 th) (.f64 (.f64 (sin.f64 th) (*.f64 kx kx)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* 1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))
(+ (sin th) (* (pow kx 2) (+ (* -1/2 (/ (sin th) (pow (sin ky) 2))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* (pow (sin ky) 2) (* (sin th) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6)))) (pow (sin ky) 2))) (+ (* 2/45 (/ 1 (pow (sin ky) 4))) (+ (* 2/3 (/ 1 (pow (sin ky) 6))) (/ 1 (pow (sin ky) 8))))))))) (* 1/2 (* (pow (sin ky) 2) (* (sin th) (+ (* 1/3 (/ 1 (pow (sin ky) 4))) (* 3/4 (/ 1 (pow (sin ky) 6))))))))))))
(+.f64 (sin.f64 th) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 2/45 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 ky) #s(literal 8 binary64)))))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (sin.f64 th)) (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 (sin.f64 ky) #s(literal 4 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 6 binary64)))))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 th (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 th (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))) (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 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th 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 th (+.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))) (.f64 (.f64 th th) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (.f64 (sin.f64 ky) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th th)) #s(literal 1/120 binary64)))))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
(* (* (sin ky) (sin th)) (sqrt (/ 1 (+ (pow (sin kx) 2) (pow (sin ky) 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* (pow ky 2) (- (* 1/120 (pow ky 2)) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (*.f64 ky ky) #s(literal 1/120 binary64))))))
(* ky (+ 1 (* (pow ky 2) (- (* (pow ky 2) (+ 1/120 (* -1/5040 (pow ky 2)))) 1/6))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64))))))))
(sin ky)
(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.f64 ky)
(sin ky)
(sin.f64 ky)
(sin ky)
(sin.f64 ky)
(/ (sin ky) (sin th))
(/.f64 (sin.f64 ky) (sin.f64 th))
(+ (* 1/2 (/ (pow kx 2) (* (sin ky) (sin th)))) (/ (sin ky) (sin th)))
(+.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(+ (* (pow kx 2) (+ (* -1/2 (/ (* (pow kx 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2))))) (* (sin ky) (sin th)))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (.f64 (*.f64 kx kx) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky))) (sin.f64 th)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 th)))))
(+ (* (pow kx 2) (+ (* (pow kx 2) (+ (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (* (sin ky) (sin th)))) (* 1/2 (/ (* (pow kx 2) (- 2/45 (* -1/2 (/ (+ 1/3 (* 1/4 (/ 1 (pow (sin ky) 2)))) (pow (sin ky) 2))))) (* (sin ky) (sin th)))))) (* 1/2 (/ 1 (* (sin ky) (sin th)))))) (/ (sin ky) (sin th)))
(+.f64 (/.f64 (sin.f64 ky) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 ky)) (sin.f64 th)) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 (.f64 kx kx) (sin.f64 ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))))))))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(* (/ 1 (sin th)) (sqrt (+ (pow (sin kx) 2) (pow (sin ky) 2))))
(/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th))
(/ (sin kx) (sin th))
(/.f64 (sin.f64 kx) (sin.f64 th))
(+ (* 1/2 (/ (pow ky 2) (* (sin kx) (sin th)))) (/ (sin kx) (sin th)))
(+.f64 (/.f64 (sin.f64 kx) (sin.f64 th)) (.f64 (/.f64 #s(literal 1/2 binary64) (sin.f64 th)) (/.f64 (.f64 ky ky) (sin.f64 kx))))
(+ (* (pow ky 2) (+ (* -1/2 (/ (* (pow ky 2) (+ 1/3 (* 1/4 (/ 1 (pow (sin kx) 2))))) (* (sin kx) (sin th)))) (* 1/2 (/ 1 (* (sin kx) (sin th)))))) (/ (sin kx) (sin th)))
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(* th (+ (* (pow th 2) (+ (* -1/6 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)) (* (pow th 2) (+ (* -1/5040 (/ (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) kx)) (* 1/120 (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))))) (/ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) kx)))
(.f64 th (+.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) (/.f64 (sin.f64 ky) kx)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/6 binary64) kx)) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))) (/.f64 #s(literal -1/5040 binary64) kx)) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (/.f64 #s(literal 1/120 binary64) kx))))))))
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(/ (* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) kx)
(/.f64 (.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) kx)
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) (.f64 (sin.f64 th) (sin.f64 ky)))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) (.f64 (sin.f64 th) (sin.f64 ky)))
(+ (* 1/6 (* (pow kx 2) (* (sin ky) (sin th)))) (* (sin ky) (sin th)))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))) (.f64 (sin.f64 th) (sin.f64 ky)))
(* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))
(.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky)))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 kx kx)))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 kx kx)))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 kx kx)))))
(* 1/6 (* (pow kx 2) (* (sin ky) (sin th))))
(.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky)))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 kx kx)))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 kx kx)))))
(* (pow kx 2) (+ (* 1/6 (* (sin ky) (sin th))) (/ (* (sin ky) (sin th)) (pow kx 2))))
(.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (sin.f64 ky)) (sin.f64 th)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (.f64 kx kx)))))
(* ky (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 ky (sin.f64 th)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* ky (+ (* -1/6 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))))
(* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2))))))))))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 ky ky) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64)))))))
(* ky (+ (* (sin th) (+ 1 (* 1/6 (pow kx 2)))) (* (pow ky 2) (+ (* -1/6 (* (sin th) (+ 1 (* 1/6 (pow kx 2))))) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))))))))
(.f64 ky (+.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 ky ky) (.f64 (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/120 binary64) (.f64 (.f64 ky ky) #s(literal -1/5040 binary64)))))))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* th (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* th (+ (* -1/6 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64))))))
(* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* 1/120 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 th th) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))))
(* th (+ (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))) (* (pow th 2) (+ (* -1/6 (* (sin ky) (+ 1 (* 1/6 (pow kx 2))))) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))) (* 1/120 (* (sin ky) (+ 1 (* 1/6 (pow kx 2)))))))))))
(.f64 th (+.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 th th) (+.f64 (.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (.f64 (.f64 th th) (.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))) (+.f64 (.f64 #s(literal -1/5040 binary64) (.f64 th th)) #s(literal 1/120 binary64))))))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
(* (sin ky) (* (sin th) (+ 1 (* 1/6 (pow kx 2)))))
(.f64 (.f64 (sin.f64 th) (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/6 (pow kx 2)))
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(+ 1 (* 1/6 (pow kx 2)))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(+ 1 (* 1/6 (pow kx 2)))
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(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* (pow kx 2) (+ 1/6 (/ 1 (pow kx 2))))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) #s(literal 1/6 binary64)))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
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(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
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(* 1/6 (pow kx 2))
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(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* 1/6 (pow kx 2))
(.f64 (.f64 kx kx) #s(literal 1/6 binary64))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
(.f64 (.f64 th (sin.f64 ky)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (.f64 (.f64 ky ky) (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))))))))
(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2)))))
(/.f64 (/.f64 (.f64 th (sin.f64 ky)) ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(+ (* -1/2 (/ (* (pow kx 2) (* th (sin ky))) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* 1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
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(+ (* (pow kx 2) (+ (* -1/2 (/ (* th (sin ky)) (* (pow ky 3) (pow (+ 1 (* -1/6 (pow ky 2))) 3)))) (* (pow kx 2) (+ (* -1/2 (* (pow kx 2) (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6))))) (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)))) (+ (* 2/45 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (+ (* 2/3 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))) (/ 1 (* (pow ky 8) (pow (+ 1 (* -1/6 (pow ky 2))) 8)))))))))))) (* 1/2 (* ky (* th (* (sin ky) (* (+ 1 (* -1/6 (pow ky 2))) (+ (* 1/3 (/ 1 (* (pow ky 4) (pow (+ 1 (* -1/6 (pow ky 2))) 4)))) (* 3/4 (/ 1 (* (pow ky 6) (pow (+ 1 (* -1/6 (pow ky 2))) 6)))))))))))))) (/ (* th (sin ky)) (* ky (+ 1 (* -1/6 (pow ky 2))))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(* (* th (sin ky)) (sqrt (/ 1 (+ (* (pow ky 2) (pow (+ 1 (* -1/6 (pow ky 2))) 2)) (pow (sin kx) 2)))))
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(/ (* ky th) (sin kx))
(*.f64 ky (/.f64 th (sin.f64 kx)))
(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (* -1/6 (/ th (sin kx))))) (/ th (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))))))))) (/ th (sin kx))))
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(* ky (+ (* (pow ky 2) (+ (* -1/2 (/ th (pow (sin kx) 3))) (+ (* -1/6 (/ th (sin kx))) (* (pow ky 2) (+ (* 1/120 (/ th (sin kx))) (+ (* 1/12 (/ th (pow (sin kx) 3))) (+ (* 1/2 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (* (pow ky 2) (+ (* -1/2 (* th (* (sin kx) (+ (* -1/2 (/ (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6)))) (pow (sin kx) 2))) (+ (* 1/36 (/ 1 (pow (sin kx) 4))) (+ (* 2/3 (/ 1 (pow (sin kx) 6))) (/ 1 (pow (sin kx) 8)))))))) (+ (* -1/12 (* th (* (sin kx) (+ (* 1/3 (/ 1 (pow (sin kx) 4))) (* 3/4 (/ 1 (pow (sin kx) 6))))))) (+ (* -1/240 (/ th (pow (sin kx) 3))) (* -1/5040 (/ th (sin kx)))))))))))))) (/ th (sin kx))))
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(* 6 (/ (* th (sin ky)) (pow ky 3)))
(/.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky))) (.f64 ky (*.f64 ky ky)))
(/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky)) (+.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64))))) (.f64 ky (*.f64 ky ky)))
(/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky)) (+.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 ky #s(literal 6 binary64)))) (.f64 ky (*.f64 ky ky)))
(* -6 (/ (* th (sin ky)) (pow ky 3)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(* -1 (/ (+ (* 6 (* th (sin ky))) (* 36 (/ (* th (sin ky)) (pow ky 2)))) (pow ky 3)))
(/.f64 (+.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky))) (.f64 #s(literal -1 binary64) (.f64 ky (.f64 ky ky))))
(* -1 (/ (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4))))) (pow ky 3)))
(/.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky)) (+.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64))))) (.f64 #s(literal -1 binary64) (.f64 ky (.f64 ky ky))))
(* -1 (/ (+ (* 1/12 (/ (* th (* (sin ky) (- 15552 (* 1296 (pow (sin kx) 2))))) (pow ky 6))) (+ (* 6 (* th (sin ky))) (+ (* 36 (/ (* th (sin ky)) (pow ky 2))) (* 216 (/ (* th (sin ky)) (pow ky 4)))))) (pow ky 3)))
(/.f64 (+.f64 (+.f64 (/.f64 (.f64 #s(literal 36 binary64) (.f64 th (sin.f64 ky))) (.f64 ky ky)) (+.f64 (.f64 #s(literal 6 binary64) (.f64 th (sin.f64 ky))) (/.f64 (.f64 #s(literal 216 binary64) (.f64 th (sin.f64 ky))) (pow.f64 ky #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal 1/12 binary64) (.f64 (.f64 th (sin.f64 ky)) (+.f64 #s(literal 15552 binary64) (.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) #s(literal -1296 binary64))))) (pow.f64 ky #s(literal 6 binary64)))) (.f64 #s(literal -1 binary64) (.f64 ky (.f64 ky ky))))
(/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky))
(/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 ky))
(+ (* 1/2 (/ (pow kx 2) (* ky (* (sin ky) (+ 1 (* -1/6 (pow ky 2))))))) (/ (* ky (+ 1 (* -1/6 (pow ky 2)))) (sin ky)))
(+.f64 (/.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64)))) (sin.f64 ky)) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (.f64 (.f64 ky (sin.f64 ky)) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))))
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(.f64 (+.f64 (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 6 binary64))) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))) (.f64 #s(literal -1 binary64) (.f64 ky (.f64 ky ky))))
(* -1 (* (pow ky 3) (- (+ 1/6 (+ (* 3 (/ (pow (sin kx) 2) (pow ky 6))) (* 18 (/ (pow (sin kx) 2) (pow ky 8))))) (/ 1 (pow ky 2)))))
(.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 3 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 6 binary64)))) (+.f64 (/.f64 (.f64 #s(literal 18 binary64) (pow.f64 (sin.f64 kx) #s(literal 2 binary64))) (pow.f64 ky #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))) (.f64 #s(literal -1 binary64) (.f64 ky (*.f64 ky ky))))
kx
(* kx (+ 1 (* -1/6 (pow kx 2))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx))))
(* kx (+ 1 (* (pow kx 2) (- (* 1/120 (pow kx 2)) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))
(* kx (+ 1 (* (pow kx 2) (- (* (pow kx 2) (+ 1/120 (* -1/5040 (pow kx 2)))) 1/6))))
(.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (*.f64 kx kx))))))))
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(sin kx)
(sin.f64 kx)
(* -1/3 ky)
(*.f64 ky #s(literal -1/3 binary64))
(* ky (- (* 2/45 (pow ky 2)) 1/3))
(.f64 ky (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))
(* ky (- (* 2/45 (pow ky 2)) 1/3))
(.f64 ky (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))
(* ky (- (* 2/45 (pow ky 2)) 1/3))
(.f64 ky (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))
(* 2/45 (pow ky 3))
(.f64 #s(literal 2/45 binary64) (.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 ky ky))))
(* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 ky ky))))
(* (pow ky 3) (- 2/45 (* 1/3 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (-.f64 #s(literal 2/45 binary64) (/.f64 #s(literal 1/3 binary64) (.f64 ky ky))))
(* 2/45 (pow ky 3))
(.f64 #s(literal 2/45 binary64) (.f64 ky (*.f64 ky ky)))
(* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 ky ky)) #s(literal -2/45 binary64)) (.f64 #s(literal -1 binary64) (.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 ky ky)) #s(literal -2/45 binary64)) (.f64 #s(literal -1 binary64) (.f64 ky (*.f64 ky ky))))
(* -1 (* (pow ky 3) (- (* 1/3 (/ 1 (pow ky 2))) 2/45)))
(.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (.f64 ky ky)) #s(literal -2/45 binary64)) (.f64 #s(literal -1 binary64) (.f64 ky (*.f64 ky ky))))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* 2/45 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal 2/45 binary64))
(* ky (sin th))
(*.f64 ky (sin.f64 th))
(* ky (+ (sin th) (* -1/6 (* (pow ky 2) (sin th)))))
(.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (sin.f64 th)))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* 1/120 (* (pow ky 2) (sin th)))))))
(.f64 ky (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64)))))))
(* ky (+ (sin th) (* (pow ky 2) (+ (* -1/6 (sin th)) (* (pow ky 2) (+ (* -1/5040 (* (pow ky 2) (sin th))) (* 1/120 (sin th))))))))
(.f64 ky (+.f64 (sin.f64 th) (.f64 (.f64 ky ky) (+.f64 (.f64 (sin.f64 th) #s(literal -1/6 binary64)) (.f64 (.f64 ky ky) (.f64 (sin.f64 th) (+.f64 #s(literal 1/120 binary64) (.f64 (*.f64 ky ky) #s(literal -1/5040 binary64)))))))))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* th (sin ky))
(*.f64 th (sin.f64 ky))
(* th (+ (sin ky) (* -1/6 (* (pow th 2) (sin ky)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (sin.f64 ky)))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* 1/120 (* (pow th 2) (sin ky)))))))
(.f64 th (+.f64 (sin.f64 ky) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 th th)))))))
(* th (+ (sin ky) (* (pow th 2) (+ (* -1/6 (sin ky)) (* (pow th 2) (+ (* -1/5040 (* (pow th 2) (sin ky))) (* 1/120 (sin ky))))))))
(.f64 th (+.f64 (sin.f64 ky) (.f64 (.f64 th th) (+.f64 (.f64 #s(literal -1/6 binary64) (sin.f64 ky)) (.f64 (.f64 th th) (.f64 (sin.f64 ky) (+.f64 (.f64 #s(literal -1/5040 binary64) (*.f64 th th)) #s(literal 1/120 binary64))))))))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* (sin ky) (sin th))
(*.f64 (sin.f64 th) (sin.f64 ky))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
(* -1/6 (pow ky 2))
(.f64 (.f64 ky ky) #s(literal -1/6 binary64))
ky
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* ky (+ 1 (* -1/6 (pow ky 2))))
(.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (*.f64 ky ky) #s(literal -1/6 binary64))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* (pow ky 3) (- (/ 1 (pow ky 2)) 1/6))
(.f64 (.f64 ky (.f64 ky ky)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 ky ky))))
(* -1/6 (pow ky 3))
(.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky)))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))
(* -1 (* (pow ky 3) (- 1/6 (/ 1 (pow ky 2)))))
(.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky)))))

eval144.0ms (1.1%)

Memory: 19.8MiB live, 364.8MiB allocated
Compiler: Compiled 27 041 to 2 746 computations (89.8% saved)

prune259.0ms (2%)

Memory

9.9MiB live, 526.9MiB allocated

Pruning

96 alts after pruning (88 fresh and 8 done)

	Pruned	Kept	Total
New	1 010	39	1 049
Fresh	12	49	61
Picked	3	2	5
Done	0	6	6
Total	1 025	96	1 121

Accuracy

100.0%

Counts

1 121 → 96

Alt Table

Click to see full alt table

Status	Accuracy	Program
	4.6%	(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
	29.1%	(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	99.4%	(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	37.1%	(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
	52.5%	(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
	34.0%	(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
	13.6%	(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
	16.6%	(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
	10.6%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
	18.9%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
	17.7%	(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
	16.2%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
	19.8%	(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
	9.9%	(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
	95.1%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
	23.6%	(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
	31.9%	(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
	21.3%	(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	8.4%	(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
	16.1%	(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
	18.9%	(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
	16.7%	(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
	22.9%	(/.f64 (*.f64 ky (sin.f64 th)) kx)
	3.7%	(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
✓	99.6%	(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	35.5%	(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
	34.4%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
✓	37.1%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
	34.8%	(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
	26.5%	(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
	31.1%	(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	99.5%	(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
✓	99.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
	52.6%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
	57.1%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
	54.8%	(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
	53.3%	(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
	37.1%	(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
	32.3%	(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
	32.2%	(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
	29.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
	29.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
	27.6%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
	29.1%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
	28.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
✓	52.7%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
	29.3%	(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
	22.7%	(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
	32.4%	(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
	21.5%	(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
	6.3%	(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
	3.5%	(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
	3.0%	(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
	21.7%	(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
	20.1%	(/.f64 th (/.f64 (sin.f64 kx) ky))
	29.1%	(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
	23.1%	(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
	20.0%	(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
	34.2%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
	31.9%	(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
	34.7%	(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
	12.5%	(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
	18.8%	(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
	19.9%	(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
✓	99.6%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	56.1%	(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
	29.2%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
	37.1%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
	34.8%	(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
	29.2%	(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
	52.6%	(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
	25.3%	(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
	25.4%	(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
	34.7%	(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
	19.7%	(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
	20.1%	(*.f64 (/.f64 ky (sin.f64 kx)) th)
	25.8%	(*.f64 (/.f64 ky kx) (sin.f64 th))
	34.2%	(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
	25.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
	12.5%	(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
	23.0%	(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
	34.7%	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
	22.0%	(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
	4.9%	(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
	10.7%	(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
	12.3%	(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
	26.5%	(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
	16.2%	(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
	14.8%	(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
✓	17.0%	(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
	16.2%	(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
	6.6%	(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
	10.1%	(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
	10.1%	(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
✓	29.2%	(sin.f64 th)
✓	17.1%	th

Compiler

Compiled 3 685 to 1 553 computations (57.9% saved)

regimes475.0ms (3.7%)

Memory

-21.7MiB live, 801.3MiB allocated

Counts

137 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 ky) (sin.f64 th)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (sin.f64 th) (*.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (sin.f64 ky))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 th)) #s(literal -1 binary64)) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (sin.f64 ky))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (sin.f64 ky) (sin.f64 th))) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 ky) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 kx) #s(literal 2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64))))) (sin.f64 th))
(.f64 (.f64 (sin.f64 ky) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (sin.f64 ky) #s(literal 2 binary64)) (pow.f64 (sin.f64 kx) #s(literal 2 binary64)))))) (sin.f64 th))
(.f64 (sqrt.f64 (sin.f64 ky)) (.f64 (sqrt.f64 (sin.f64 ky)) (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky)))))

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

Calls

9 calls:

92.0ms	(*.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))
67.0ms	kx
54.0ms	(sin.f64 ky)
51.0ms	th
41.0ms	(sin.f64 th)

Results

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

Compiler

Compiled 69 to 51 computations (26.1% saved)

regimes228.0ms (1.8%)

Memory

4.2MiB live, 528.0MiB allocated

Counts

123 → 1

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 th)))

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

Calls

6 calls:

37.0ms	(sin.f64 ky)
37.0ms	(sin.f64 th)
35.0ms	kx
35.0ms	(sin.f64 kx)
33.0ms	ky

Results

Accuracy	Segments	Branch
99.6%	1	`kx`
99.6%	1	`ky`
99.6%	1	`th`
99.6%	1	`(sin.f64 ky)`
99.6%	1	`(sin.f64 kx)`
99.6%	1	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes278.0ms (2.1%)

Memory

-13.3MiB live, 420.7MiB allocated

Counts

120 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th))

Outputs

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

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

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

Calls

6 calls:

87.0ms	(sin.f64 th)
37.0ms	ky
36.0ms	th
35.0ms	(sin.f64 ky)
33.0ms	(sin.f64 kx)

Results

Accuracy	Segments	Branch
76.9%	3	`kx`
80.5%	2	`ky`
82.4%	3	`th`
83.4%	4	`(sin.f64 ky)`
76.6%	3	`(sin.f64 kx)`
80.7%	3	`(sin.f64 th)`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes54.0ms (0.4%)

Memory

4.7MiB live, 81.8MiB allocated

Counts

119 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))

Outputs

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

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

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

Calls

1 calls:

37.0ms

th

Results

Accuracy	Segments	Branch
82.4%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes47.0ms (0.4%)

Memory

30.7MiB live, 67.3MiB allocated

Counts

117 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(/.f64 (*.f64 th (sin.f64 ky)) (hypot.f64 (sin.f64 kx) (sin.f64 kx)))
(/.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 kx))) (sin.f64 ky)) (sin.f64 ky)))
(+.f64 (sin.f64 th) (.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (/.f64 (*.f64 kx kx) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx)))) (sin.f64 th))
(.f64 (/.f64 (sin.f64 ky) (+.f64 (sin.f64 ky) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 kx kx)) (sin.f64 ky)))) (sin.f64 th))

Outputs

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

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

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

Calls

1 calls:

33.0ms

th

Results

Accuracy	Segments	Branch
82.4%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes109.0ms (0.8%)

Memory

-29.0MiB live, 52.0MiB allocated

Counts

109 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) th))

Outputs

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

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

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

Calls

1 calls:

83.0ms

th

Results

Accuracy	Segments	Branch
82.3%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

Memory

36.3MiB live, 72.4MiB allocated

Counts

107 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) ky)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 (sin.f64 ky) (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 th)))

Outputs

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

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

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

Calls

1 calls:

32.0ms

th

Results

Accuracy	Segments	Branch
82.3%	3	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes45.0ms (0.3%)

Memory

9.3MiB live, 83.4MiB allocated

Counts

103 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th)

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

Calls

1 calls:

32.0ms

th

Results

Accuracy	Segments	Branch
80.6%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes49.0ms (0.4%)

Memory

-4.8MiB live, 117.6MiB allocated

Counts

102 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))

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

Calls

1 calls:

29.0ms

th

Results

Accuracy	Segments	Branch
80.6%	2	`th`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes194.0ms (1.5%)

Memory

-17.0MiB live, 386.0MiB allocated

Counts

101 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))
(*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky))

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

Calls

6 calls:

36.0ms	th
29.0ms	(sin.f64 th)
29.0ms	kx
28.0ms	ky
27.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
62.2%	5	`(sin.f64 kx)`
63.2%	5	`kx`
69.8%	4	`(sin.f64 th)`
64.3%	4	`(sin.f64 ky)`
61.6%	2	`ky`
69.6%	3	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes261.0ms (2%)

Memory

-28.3MiB live, 306.3MiB allocated

Counts

100 → 3

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))
(.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (.f64 (sin.f64 th) (sin.f64 ky)))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) (sin.f64 ky))))
(/.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 th)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (/.f64 #s(literal 1 binary64) (sin.f64 ky)))
(/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 ky)) (sin.f64 th)))
(/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal 1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (*.f64 kx #s(literal -1/2 binary64)) (sin.f64 ky)) (/.f64 kx (sin.f64 ky)))) (sin.f64 th))
(/.f64 th (/.f64 (+.f64 (sin.f64 kx) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 ky ky)) (sin.f64 kx))) (sin.f64 ky)))
(.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))))) th)
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 kx kx)))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 ky ky))))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (*.f64 kx kx))))))) (sin.f64 ky)) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal 1/120 binary64) (.f64 ky (*.f64 ky #s(literal -1/5040 binary64))))))))))) (sin.f64 ky)))

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

Calls

6 calls:

64.0ms	ky
50.0ms	(sin.f64 kx)
41.0ms	(sin.f64 th)
28.0ms	kx
28.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
55.0%	5	`(sin.f64 kx)`
52.0%	4	`kx`
55.1%	3	`(sin.f64 ky)`
51.9%	2	`ky`
52.4%	5	`(sin.f64 th)`
52.0%	4	`th`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes33.0ms (0.3%)

Memory

26.5MiB live, 64.0MiB allocated

Counts

80 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))

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

Calls

1 calls:

23.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
53.2%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes34.0ms (0.3%)

Memory

-1.3MiB live, 75.0MiB allocated

Counts

79 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))
(*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) (sin.f64 ky))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 ky)) (sin.f64 ky))
(/.f64 (sin.f64 ky) (/.f64 (sin.f64 kx) (sin.f64 th)))

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

Calls

1 calls:

24.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
53.1%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes33.0ms (0.3%)

Memory

-16.0MiB live, 64.8MiB allocated

Counts

75 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(/.f64 (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64))))) (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) kx)
(/.f64 th (/.f64 (hypot.f64 kx (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) (sin.f64 ky)))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))) ky))
(.f64 th (+.f64 (/.f64 ky (sin.f64 kx)) (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (.f64 th th))) (sin.f64 kx))))
(.f64 (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) kx)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (.f64 ky #s(literal 2 binary64))))) #s(literal 1 binary64))) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 kx (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))) (*.f64 (sin.f64 ky) (sin.f64 th))))
(/.f64 (sin.f64 th) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 kx kx) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 ky #s(literal 2 binary64))))) #s(literal -1 binary64)))))
(/.f64 th (/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) (/.f64 (.f64 #s(literal 1/2 binary64) (*.f64 ky ky)) (sin.f64 kx))) ky))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))))))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) #s(literal -1 binary64)) (.f64 (sin.f64 ky) (sin.f64 th))) (.f64 (+.f64 (.f64 kx (*.f64 kx #s(literal 1/6 binary64))) #s(literal -1 binary64)) kx))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/6 binary64) (.f64 #s(literal 1/120 binary64) (.f64 ky ky))))))) #s(literal 2 binary64)))) (sin.f64 th))
(/.f64 th (/.f64 (hypot.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 ky ky) #s(literal 1/120 binary64))))))))
(.f64 (.f64 kx kx) (+.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (sin.f64 th)) (.f64 ky ky)) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64))))) (/.f64 (sin.f64 th) (*.f64 kx kx))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 1/216 binary64) (.f64 kx (.f64 kx kx))) (.f64 kx (.f64 kx kx)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))) (+.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 kx kx) (.f64 kx kx))) (-.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64))))))

Outputs
(/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky))
(sin.f64 th)

Calls

1 calls:

23.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
52.1%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes39.0ms (0.3%)

Memory

3.5MiB live, 81.3MiB allocated

Counts

58 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) (sin.f64 kx))
(/.f64 (*.f64 th (sin.f64 ky)) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) ky) (sin.f64 kx))
(/.f64 (*.f64 (sin.f64 th) (sin.f64 ky)) kx)
(.f64 (.f64 #s(literal 1/6 binary64) kx) (*.f64 (sin.f64 th) (sin.f64 ky)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) ky) (sin.f64 th))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 kx) (*.f64 (sin.f64 th) ky)))
(*.f64 (/.f64 ky (sin.f64 kx)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sin.f64 th))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (sin.f64 kx)) (/.f64 #s(literal 1 binary64) ky)) (sin.f64 th))
(/.f64 (.f64 (.f64 (.f64 kx kx) #s(literal 1/6 binary64)) (.f64 (sin.f64 th) (sin.f64 ky))) kx)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (*.f64 kx kx) #s(literal -1/2 binary64)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))) th)
(/.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (.f64 kx kx)) (pow.f64 (sin.f64 ky) #s(literal 2 binary64)))))
(.f64 (+.f64 #s(literal 1 binary64) (.f64 kx (.f64 kx #s(literal 1/6 binary64)))) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)))
(/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (.f64 ky (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 ky ky))))))

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

Calls

2 calls:

17.0ms	(sin.f64 ky)
16.0ms	ky

Results

Accuracy	Segments	Branch
51.9%	2	`ky`
51.9%	2	`(sin.f64 ky)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes19.0ms (0.1%)

Memory

0.8MiB live, 42.0MiB allocated

Counts

43 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))
(*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th))
(*.f64 (/.f64 (sin.f64 th) (sin.f64 kx)) ky)
(/.f64 th (/.f64 (sin.f64 kx) (sin.f64 ky)))
(/.f64 (sin.f64 th) (/.f64 kx (sin.f64 ky)))

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

Calls

1 calls:

14.0ms

ky

Results

Accuracy	Segments	Branch
51.9%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes76.0ms (0.6%)

Memory

-3.3MiB live, 154.1MiB allocated

Counts

39 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx))

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

Calls

6 calls:

12.0ms	kx
12.0ms	(sin.f64 kx)
12.0ms	ky
11.0ms	th
11.0ms	(sin.f64 ky)

Results

Accuracy	Segments	Branch
33.6%	3	`(sin.f64 th)`
44.3%	5	`kx`
32.1%	2	`th`
45.1%	6	`(sin.f64 kx)`
44.7%	2	`(sin.f64 ky)`
44.1%	2	`ky`

Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes16.0ms (0.1%)

Memory

-5.6MiB live, 33.5MiB allocated

Counts

38 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))
(*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx))

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

Calls

1 calls:

11.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
44.6%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.1%)

Memory

28.4MiB live, 28.4MiB allocated

Counts

37 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(.f64 (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) ky) kx) (sin.f64 th))
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 ky (sin.f64 th))) kx)
(/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 kx kx)) #s(literal 1 binary64)) (.f64 th (sin.f64 ky))) kx)
(/.f64 th (/.f64 (.f64 (.f64 ky (.f64 ky ky)) (neg.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1 binary64) (.f64 ky ky))))) (sin.f64 ky)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky)))) (.f64 ky ky))) (sin.f64 th))
(.f64 (/.f64 (+.f64 ky (.f64 (.f64 kx kx) (+.f64 (.f64 (.f64 kx kx) (.f64 ky #s(literal 7/360 binary64))) (*.f64 ky #s(literal 1/6 binary64))))) kx) (sin.f64 th))
(.f64 (/.f64 (+.f64 (.f64 ky ky) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 ky ky))))) (*.f64 ky ky)) (sin.f64 th))
(/.f64 (.f64 ky (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) #s(literal -1/6 binary64))) (.f64 (sin.f64 th) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(/.f64 (.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 (sin.f64 ky) (+.f64 #s(literal 1 binary64) (.f64 (*.f64 kx kx) #s(literal 1/6 binary64)))))) kx)
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal -1/6 binary64) (.f64 (.f64 kx kx) (+.f64 #s(literal 1/120 binary64) (.f64 #s(literal -1/5040 binary64) (.f64 kx kx))))))))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 (.f64 ky ky) (+.f64 #s(literal 1 binary64) (.f64 ky (.f64 ky (+.f64 #s(literal -1/3 binary64) (.f64 #s(literal 2/45 binary64) (*.f64 ky ky))))))))) (sin.f64 th))

Outputs
(.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th))
(sin.f64 th)

Calls

1 calls:

11.0ms

(sin.f64 ky)

Results

Accuracy	Segments	Branch
44.1%	2	`(sin.f64 ky)`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes11.0ms (0.1%)

Memory

-18.4MiB live, 19.5MiB allocated

Counts

25 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)
(*.f64 (/.f64 ky kx) (sin.f64 th))
(*.f64 (/.f64 ky (sin.f64 kx)) th)
(/.f64 th (/.f64 (sin.f64 kx) ky))
(/.f64 (*.f64 ky (sin.f64 th)) kx)
(.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) (.f64 ky ky)) (sin.f64 th))
(/.f64 th (/.f64 (.f64 #s(literal -1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 th (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 ky (*.f64 ky ky))) (sin.f64 ky)))
(/.f64 (.f64 #s(literal -6 binary64) (.f64 th (sin.f64 ky))) (.f64 ky (.f64 ky ky)))
(/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx (*.f64 kx (sin.f64 th)))) ky) ky)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 kx kx) #s(literal -1/2 binary64)) (.f64 ky ky))) (sin.f64 th))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (*.f64 kx kx)) ky) ky)) (sin.f64 th))
(.f64 (/.f64 ky (sin.f64 kx)) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64))))))

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

Calls

1 calls:

8.0ms

ky

Results

Accuracy	Segments	Branch
44.1%	2	`ky`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes20.0ms (0.2%)

Memory

5.8MiB live, 44.1MiB allocated

Counts

13 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))
(sin.f64 th)

Outputs
(sin.f64 th)
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
29.2%	1	`(sin.f64 th)`
29.2%	1	`th`
31.4%	2	`kx`
29.2%	1	`ky`

Compiler

Compiled 17 to 13 computations (23.5% saved)

regimes16.0ms (0.1%)

Memory

-5.6MiB live, 44.7MiB allocated

Counts

12 → 2

Calls

Call 1

Inputs
th
(.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th)))
(.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))
(.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (*.f64 th #s(literal -1/6 binary64)))))
(.f64 th (.f64 (.f64 th th) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th)))))
(.f64 (.f64 th (.f64 th th)) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 th th))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th)))) th) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (*.f64 th th))))
(.f64 th (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (.f64 #s(literal -1/2 binary64) (.f64 kx kx)) ky) ky) (+.f64 #s(literal 1 binary64) (.f64 (.f64 ky ky) (+.f64 (.f64 (*.f64 ky ky) #s(literal 2/45 binary64)) #s(literal -1/3 binary64)))))))
(/.f64 (-.f64 (.f64 th th) (.f64 (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 th (.f64 #s(literal -1/6 binary64) (.f64 th th))))) (-.f64 th (.f64 th (.f64 #s(literal -1/6 binary64) (*.f64 th th)))))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) th) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) #s(literal 1 binary64)))))
(.f64 th (.f64 (+.f64 #s(literal 1 binary64) (.f64 (.f64 th (.f64 th th)) (.f64 (.f64 th (.f64 th th)) #s(literal -1/216 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal -1/6 binary64) (.f64 th th)) (-.f64 (.f64 #s(literal -1/6 binary64) (*.f64 th th)) #s(literal 1 binary64)))))))
(.f64 th (/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th)))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 th th) (.f64 th th))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 th th))))))

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

Calls

3 calls:

7.0ms	th
4.0ms	kx
4.0ms	ky

Results

Accuracy	Segments	Branch
20.6%	2	`ky`
17.1%	1	`th`
20.6%	2	`kx`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory

10.9MiB live, 10.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
th

Outputs
th

Calls

2 calls:

1.0ms	kx
1.0ms	ky

Results

Accuracy	Segments	Branch
17.1%	1	`ky`
17.1%	1	`kx`

Compiler

Compiled 8 to 6 computations (25% saved)

bsearch43.0ms (0.3%)

Memory

9.2MiB live, 86.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.007178994325595e+116	6.368287071150674e+116
25.0ms	73779009.33490121	563327296475.211

Samples

32.0ms

208×

valid

Compiler

Compiled 450 to 305 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 17.0ms (64% of total)

ival-pow2: 4.0ms (15.1% of total)

ival-sqrt: 2.0ms (7.5% of total)

ival-div: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

ival-mult: 1.0ms (3.8% of total)

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

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

bsearch45.0ms (0.3%)

Memory

-3.7MiB live, 73.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	3.007178994325595e+116	6.368287071150674e+116
24.0ms	10.878371162517471	5349.955462102579

Samples

35.0ms

208×

valid

Compiler

Compiled 450 to 305 computations (32.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-sin: 15.0ms (59.4% of total)

ival-pow2: 4.0ms (15.8% of total)

ival-div: 3.0ms (11.9% of total)

ival-add: 1.0ms (4% of total)

ival-mult: 1.0ms (4% of total)

ival-sqrt: 1.0ms (4% of total)

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

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

bsearch44.0ms (0.3%)

Memory

14.2MiB live, 89.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.007178994325595e+116	6.368287071150674e+116
27.0ms	73779009.33490121	563327296475.211

Samples

34.0ms

208×

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sin: 18.0ms (67.9% of total)

ival-pow2: 4.0ms (15.1% of total)

ival-div: 1.0ms (3.8% of total)

ival-add: 1.0ms (3.8% of total)

ival-mult: 1.0ms (3.8% of total)

ival-sqrt: 1.0ms (3.8% of total)

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

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

bsearch50.0ms (0.4%)

Memory

-4.9MiB live, 72.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	3.007178994325595e+116	6.368287071150674e+116
26.0ms	73779009.33490121	563327296475.211

Samples

40.0ms

208×

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

Precisions

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

ival-sin: 15.0ms (62.7% of total)

ival-pow2: 4.0ms (16.7% of total)

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

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

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

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

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

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

bsearch47.0ms (0.4%)

Memory

19.3MiB live, 89.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	3.007178994325595e+116	6.368287071150674e+116
29.0ms	73779009.33490121	563327296475.211

Samples

34.0ms

208×

valid

Compiler

Compiled 386 to 257 computations (33.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-sin: 20.0ms (70.4% of total)

ival-pow2: 4.0ms (14.1% of total)

ival-div: 1.0ms (3.5% of total)

ival-add: 1.0ms (3.5% of total)

ival-mult: 1.0ms (3.5% of total)

ival-sqrt: 1.0ms (3.5% of total)

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

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

bsearch25.0ms (0.2%)

Memory

1.8MiB live, 40.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
22.0ms	5.137974231249786e-7	10.878371162517471

Samples

17.0ms

144×

valid

Compiler

Compiled 274 to 189 computations (31% saved)

Precisions

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

ival-sin: 7.0ms (52.6% of total)

ival-pow2: 2.0ms (15% of total)

ival-div: 1.0ms (7.5% of total)

ival-add: 1.0ms (7.5% of total)

ival-mult: 1.0ms (7.5% of total)

ival-sqrt: 1.0ms (7.5% of total)

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

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

bsearch35.0ms (0.3%)

Memory

-6.3MiB live, 37.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
21.0ms	5.137974231249786e-7	10.878371162517471

Samples

17.0ms

144×

valid

Compiler

Compiled 274 to 189 computations (31% saved)

Precisions

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

ival-sin: 7.0ms (55.1% of total)

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

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

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

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

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

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

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

bsearch62.0ms (0.5%)

Memory

-16.3MiB live, 99.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
24.0ms	1.0040323012015467e+73	1.7475539425318108e+76
34.0ms	73779009.33490121	563327296475.211

Samples

48.0ms

256×

valid

Compiler

Compiled 326 to 242 computations (25.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-sin: 30.0ms (73.4% of total)

ival-pow2: 5.0ms (12.2% of total)

ival-div: 2.0ms (4.9% of total)

ival-mult: 2.0ms (4.9% of total)

ival-sqrt: 2.0ms (4.9% of total)

ival-add: 1.0ms (2.4% of total)

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

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

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29
0.0ms	-0.14648240561334394	-0.09486527247677815

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.339146555792769e-30	2.4618470003539318e-29

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch19.0ms (0.1%)

Memory

-27.8MiB live, 25.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
18.0ms	9.339146555792769e-30	2.4618470003539318e-29

Samples

15.0ms

80×

valid

Compiler

Compiled 107 to 83 computations (22.4% saved)

Precisions

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

ival-sin: 10.0ms (76.4% of total)

ival-sqrt: 1.0ms (7.6% of total)

ival-pow2: 1.0ms (7.6% of total)

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

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

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

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

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

bsearch13.0ms (0.1%)

Memory

23.8MiB live, 23.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	9.339146555792769e-30	2.4618470003539318e-29

Samples

9.0ms

80×

valid

Compiler

Compiled 107 to 83 computations (22.4% saved)

Precisions

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

ival-sin: 4.0ms (56.1% of total)

ival-sqrt: 1.0ms (14% of total)

ival-pow2: 1.0ms (14% of total)

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

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

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

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

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2201684989230785e-88	5.927367319557051e-81

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2201684989230785e-88	5.927367319557051e-81

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.2201684989230785e-88	5.927367319557051e-81

Compiler

Compiled 21 to 18 computations (14.3% saved)

bsearch25.0ms (0.2%)

Memory

1.7MiB live, 39.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	2.2201684989230785e-88	5.927367319557051e-81

Samples

17.0ms

144×

valid

Compiler

Compiled 166 to 126 computations (24.1% saved)

Precisions

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

ival-sin: 7.0ms (54.1% of total)

ival-pow2: 3.0ms (23.2% of total)

ival-div: 1.0ms (7.7% of total)

ival-add: 1.0ms (7.7% of total)

ival-mult: 1.0ms (7.7% of total)

ival-sqrt: 1.0ms (7.7% of total)

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

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

bsearch57.0ms (0.4%)

Memory

-10.8MiB live, 28.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
56.0ms	1.0602864742107773e+38	1.2496438815961509e+39

Samples

52.0ms

96×

valid

Compiler

Compiled 124 to 96 computations (22.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 7.0ms (62.4% of total)

ival-pow2: 2.0ms (17.8% of total)

ival-div: 1.0ms (8.9% of total)

ival-mult: 1.0ms (8.9% of total)

ival-sqrt: 1.0ms (8.9% of total)

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

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

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

bsearch32.0ms (0.2%)

Memory

-14.2MiB live, 22.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
30.0ms	11830.230420776366	119948.92375220751

Samples

14.0ms

96×

valid

Compiler

Compiled 118 to 90 computations (23.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-sin: 7.0ms (64.3% of total)

ival-pow2: 2.0ms (18.4% of total)

ival-div: 1.0ms (9.2% of total)

ival-mult: 1.0ms (9.2% of total)

ival-sqrt: 1.0ms (9.2% of total)

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

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

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

simplify13.0ms (0.1%)

Memory

25.0MiB live, 25.0MiB allocated

Algorithm

1×	egg-herbie

Rules

46×	`*-commutative_binary64`
8×	`+-commutative_binary64`
2×	`1-exp_binary64`
2×	`1-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	131	498
1	161	498

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 th #s(literal 75000000 binary64)) (/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (if (<=.f64 th #s(literal 489999999999999981377105206042609989421391959079863718113154413692559315661483017680406850665862170679182953348595712 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 11 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (if (<=.f64 th #s(literal 610000000000000018240246738106821942293611760592332935768237777635658352213583404631453084645682635976538539421597696 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 619999999999999992148832202005347280066267049150087165863902312721417452915983684744666948152322031771142477953630208 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 550000000000000034804687568602906755817537493718040172591406989955507816749862913715177954845787174904071578753957888 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 340000000000000022788207282282822023231206291894131810171077444492182977002181790389719026166123517998015551679496192 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 th #s(literal 5764607523034235/2305843009213693952 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 th #s(literal 5718490662849961/18446744073709551616 binary64)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 th #s(literal 75000000 binary64)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 11600000000000000681985125775686686194169052328267499587662369096462237696 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1248841731117715/89202980794122492566142873090593446023921664 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8242260651214319/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 kx #s(literal 145000000000000003347087320028752642048 binary64)) (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 12000 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

Outputs
(/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (sin.f64 ky)))
(*.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))))
(if (<=.f64 th #s(literal 75000000 binary64)) (/.f64 (sin.f64 ky) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 th th)) #s(literal 1 binary64)) (hypot.f64 (sin.f64 kx) (sin.f64 ky))) th)) (if (<=.f64 th #s(literal 489999999999999981377105206042609989421391959079863718113154413692559315661483017680406850665862170679182953348595712 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (/.f64 (sin.f64 ky) (/.f64 (.f64 (hypot.f64 (sin.f64 kx) (sin.f64 ky)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 th th)) #s(literal 1 binary64))) th)) (if (<=.f64 th #s(literal 489999999999999981377105206042609989421391959079863718113154413692559315661483017680406850665862170679182953348595712 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 11 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (if (<=.f64 th #s(literal 610000000000000018240246738106821942293611760592332935768237777635658352213583404631453084645682635976538539421597696 binary64)) (*.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 11 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) (.f64 th (+.f64 #s(literal 1 binary64) (.f64 th (.f64 th #s(literal -1/6 binary64)))))) (if (<=.f64 th #s(literal 610000000000000018240246738106821942293611760592332935768237777635658352213583404631453084645682635976538539421597696 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 619999999999999992148832202005347280066267049150087165863902312721417452915983684744666948152322031771142477953630208 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 619999999999999992148832202005347280066267049150087165863902312721417452915983684744666948152322031771142477953630208 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky)))) (/.f64 (sin.f64 th) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 550000000000000034804687568602906755817537493718040172591406989955507816749862913715177954845787174904071578753957888 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 550000000000000034804687568602906755817537493718040172591406989955507816749862913715177954845787174904071578753957888 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky)))) (/.f64 (sin.f64 ky) (/.f64 (hypot.f64 (sin.f64 kx) ky) (sin.f64 th)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (if (<=.f64 th #s(literal 340000000000000022788207282282822023231206291894131810171077444492182977002181790389719026166123517998015551679496192 binary64)) (.f64 (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky))) (sin.f64 ky)) (*.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th))))
(if (<=.f64 th #s(literal 75000000 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (if (<=.f64 th #s(literal 340000000000000022788207282282822023231206291894131810171077444492182977002181790389719026166123517998015551679496192 binary64)) (.f64 (sin.f64 ky) (/.f64 (sin.f64 th) (hypot.f64 kx (sin.f64 ky)))) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))))))
(if (<=.f64 th #s(literal 5764607523034235/2305843009213693952 binary64)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx))) th) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 th #s(literal 5764607523034235/2305843009213693952 binary64)) (.f64 th (/.f64 (sin.f64 ky) (hypot.f64 (sin.f64 ky) (sin.f64 kx)))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 5718490662849961/18446744073709551616 binary64)) (.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (.f64 (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx))) (sin.f64 th)))
(if (<=.f64 th #s(literal 5718490662849961/18446744073709551616 binary64)) (.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (hypot.f64 ky (sin.f64 kx)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (*.f64 (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 ky)) (if (<=.f64 th #s(literal 11600000000000000681985125775686686194169052328267499587662369096462237696 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 th #s(literal 75000000 binary64)) (*.f64 (sin.f64 ky) (/.f64 th (hypot.f64 (sin.f64 kx) (sin.f64 ky)))) (if (<=.f64 th #s(literal 11600000000000000681985125775686686194169052328267499587662369096462237696 binary64)) (sin.f64 th) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky)))))
(if (<=.f64 (sin.f64 ky) #s(literal -3602879701896397/36028797018963968 binary64)) (/.f64 th (/.f64 (hypot.f64 kx (sin.f64 ky)) (sin.f64 ky))) (if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th)))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) (sin.f64 ky))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 (sin.f64 ky) (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (.f64 (+.f64 (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)) #s(literal 1 binary64)) (sin.f64 kx)) ky)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (/.f64 (sin.f64 th) (/.f64 (.f64 (sin.f64 kx) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 ky ky)))) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 1248841731117715/89202980794122492566142873090593446023921664 binary64)) (/.f64 (sin.f64 th) (/.f64 (sin.f64 kx) ky)) (sin.f64 th))
(if (<=.f64 ky #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (/.f64 ky (sin.f64 kx)) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 7136238463529799/713623846352979940529142984724747568191373312 binary64)) (*.f64 (sin.f64 th) (/.f64 ky (sin.f64 kx))) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (sin.f64 th) (/.f64 (sin.f64 ky) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (*.f64 (sin.f64 ky) (/.f64 (sin.f64 th) kx)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx))))) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 (sin.f64 ky) #s(literal 7167183174968973/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208 binary64)) (.f64 (sin.f64 th) (/.f64 ky (.f64 kx (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/6 binary64) (.f64 kx kx)))))) (sin.f64 th))
(if (<=.f64 ky #s(literal 8242260651214319/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 (/.f64 ky kx) (sin.f64 th)) (sin.f64 th))
(if (<=.f64 ky #s(literal 8242260651214319/35835915874844867368919076489095108449946327955754392558399825615420669938882575126094039892345713852416 binary64)) (*.f64 (sin.f64 th) (/.f64 ky kx)) (sin.f64 th))
(if (<=.f64 kx #s(literal 145000000000000003347087320028752642048 binary64)) (sin.f64 th) (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
(if (<=.f64 kx #s(literal 12000 binary64)) th (.f64 #s(literal -1/6 binary64) (.f64 th (*.f64 th th))))
th

soundness1.8s (14%)

Memory

-155.6MiB live, 1 538.3MiB allocated

Rules

14 278×	`accelerator-lowering-fma.f32`
14 278×	`accelerator-lowering-fma.f64`
13 652×	`accelerator-lowering-fma.f32`
13 652×	`accelerator-lowering-fma.f64`
12 634×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	541	7683
1	1765	7366
2	6990	7139
0	8395	6628
0	623	5171
1	2052	5003
2	7868	4979
0	8085	4632
0	13	49
1	53	49
2	329	49
3	2893	49
0	8275	34
0	906	9930
1	2966	9597
0	8057	8639
0	317	2263
1	1011	2214
2	3860	2122
3	7804	2122
0	8107	1974
0	28	161
1	159	161
2	1151	161
0	8214	119

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

Compiler

Compiled 1 563 to 846 computations (45.9% saved)

preprocess157.0ms (1.2%)

Memory

17.2MiB live, 338.4MiB allocated

Remove

(negabs th)

(negabs ky)

(abs kx)

Compiler

Compiled 1 208 to 396 computations (67.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated