Metrics for UniformSampleCone, x

start0.0ms (0%)

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

analyze253.0ms (2.4%)

Memory

13.0MiB live, 247.9MiB allocated; 219ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
0%	0%	0.1%	99.9%	0%	0%	0%	1
0%	0%	0.1%	99.9%	0%	0%	0%	2
0%	0%	0.1%	99.9%	0%	0%	0%	3
12.5%	0%	0.1%	99.9%	0%	0%	0%	4
18.7%	0%	0.1%	99.9%	0%	0%	0%	5
28.1%	0%	0.1%	99.9%	0%	0%	0%	6
42.2%	0%	0.1%	99.9%	0%	0%	0%	7
49.2%	0%	0%	99.9%	0%	0%	0%	8
57.4%	0.1%	0%	99.9%	0%	0%	0%	9
67%	0.1%	0%	99.9%	0%	0%	0%	10
71.8%	0.1%	0%	99.9%	0%	0%	0%	11
76.9%	0.1%	0%	99.9%	0%	0%	0%	12

Compiler

Compiled 49 to 28 computations (42.9% saved)

sample1.9s (18.2%)

Memory

92.5MiB live, 2 052.7MiB allocated; 1.0s collecting garbage

Samples

1.4s	8 253×	0	valid
1.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 904.0ms

ival-mult: 238.0ms (26.3% of total)

const: 151.0ms (16.7% of total)

ival-<=: 128.0ms (14.2% of total)

ival-cosu: 124.0ms (13.7% of total)

ival-sub: 110.0ms (12.2% of total)

ival-sqrt: 54.0ms (6% of total)

ival-add: 50.0ms (5.5% of total)

ival-and: 33.0ms (3.6% of total)

exact: 11.0ms (1.2% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain238.0ms (2.3%)

Memory

-71.6MiB live, 286.4MiB allocated; 58ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
180	6	(0.0007148855365812778 7.092946816555923e-7 1.405445065800652e-26)	2	(0.005324188154190779 0.242664635181427 6.13802675377911e-30)	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
1	0	-	1	(4.712209829449421e-6 0.7599577903747559 6.986141670495272e-6)	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
0	0	-	0	-	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
0	0	-	0	-	`maxCos`
0	0	-	0	-	`(*.f32 ux maxCos)`
0	0	-	0	-	`ux`
0	0	-	0	-	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
0	0	-	0	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
0	0	-	0	-	`uy`
0	0	-	0	-	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
0	0	-	0	-	`(*.f32 uy #s(literal 2 binary32))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) ux)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f32`	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`	cancellation	184	15

Confusion

	Predicted +	Predicted -
+	175	2
-	9	70

Precision

0.9510869565217391

Recall

0.9887005649717514

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	175	1	1
-	9	14	56

Precision?

0.8844221105527639

Recall?

0.9943502824858758

Freqs

test

number	freq
0	72
1	184

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

74.0ms	504×	0	valid
2.0ms	8×	1	valid

Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 34.0ms (58.7% of total)

ival-cosu: 9.0ms (15.5% of total)

ival-sub: 5.0ms (8.6% of total)

ival-add: 3.0ms (5.2% of total)

ival-sqrt: 3.0ms (5.2% of total)

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

adjust: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

preprocess242.0ms (2.3%)

Memory

43.3MiB live, 218.0MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	238
1	230	232
2	856	232
3	3155	220
4	7316	220
0	16	25
0	27	25
1	59	25
2	171	25
3	618	25
4	2181	21
5	7955	21
0	8005	21

Stop Event

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

Calls

Call 1

Inputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Outputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

(*.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 2 binary32) (-.f32 ux (*.f32 maxCos ux))) (-.f32 ux (*.f32 maxCos ux)))) (cos.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))

Symmetry

(abs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Status

Accuracy

Program

▶

60.1%

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Compiler

Compiled 25 to 16 computations (36% saved)

simplify195.0ms (1.8%)

Memory

8.0MiB live, 156.9MiB allocated; 18ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	2	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	108
0	27	108
1	59	108
2	171	108
3	618	108
4	2181	96
5	7955	96
0	8005	93

Stop Event

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

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos

Outputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 2 binary32) (-.f32 ux (.f32 maxCos ux))) (-.f32 ux (.f32 maxCos ux)))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (.f32 (-.f32 #s(literal 2 binary32) (-.f32 ux (.f32 maxCos ux))) (-.f32 ux (*.f32 maxCos ux))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(.f32 (-.f32 #s(literal 2 binary32) (-.f32 ux (.f32 maxCos ux))) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize63.0ms (0.6%)

Memory

-27.8MiB live, 72.3MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.140625	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
accuracy	0.3515625	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.42578125	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Samples

33.0ms	252×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions

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

ival-mult: 10.0ms (40.9% of total)

ival-sqrt: 5.0ms (20.4% of total)

ival-cosu: 4.0ms (16.4% of total)

ival-sub: 2.0ms (8.2% of total)

ival-pi: 1.0ms (4.1% of total)

ival-add: 1.0ms (4.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-13.2MiB live, 31.7MiB allocated; 6ms collecting garbage

Counts

6 → 73

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Outputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	maxCos	@	inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	ux	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	ux	@	-inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	uy	@	inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	maxCos	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify214.0ms (2%)

Memory

37.1MiB live, 178.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	406	2229
1	1417	2114
2	6509	2097
0	8531	1991

Stop Event

1×	iter limit
1×	node limit

Counts

73 → 73

Calls

Call 1

Inputs
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))

Outputs
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))))) (.f32 ux ux))) (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (/.f32 (/.f32 (.f32 (.f32 #s(literal -1/8 binary32) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 ux ux)) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (.f32 ux ux))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/16 binary32) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 maxCos #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (neg.f32 ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux)))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (.f32 (.f32 #s(literal 1/16 binary32) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) (neg.f32 ux))) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(.f32 (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 uy uy) (.f32 uy uy)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 uy uy) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32) (.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 uy uy))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (.f32 (*.f32 (neg.f32 ux) maxCos) ux)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux) (.f32 ux ux)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 (neg.f32 ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux) (.f32 ux ux)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 (neg.f32 ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (.f32 (*.f32 maxCos ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 (.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos) #s(literal 3 binary32)) (.f32 ux ux)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (cos.f32 (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (*.f32 maxCos ux))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (.f32 maxCos maxCos))

rewrite68.0ms (0.6%)

Memory

-0.6MiB live, 89.9MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	27	54
1	115	54
0	1034	50

Stop Event

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

Counts

6 → 116

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (+.f32 #s(literal 1 binary32) (fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) (fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
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(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (.f32 (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))

eval30.0ms (0.3%)

Memory: 5.8MiB live, 51.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 8 558 to 1 250 computations (85.4% saved)

prune56.0ms (0.5%)

Memory

-36.6MiB live, 62.5MiB allocated; 10ms collecting garbage

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	189	27	216
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	190	27	217

Accuracy

99.6%

Counts

217 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (+.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	60.1%	(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
▶	60.1%	(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.0%	(.f32 (sin.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.1%	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
	60.0%	(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.1%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	60.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
▶	60.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	60.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (.f32 maxCos ux)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
	59.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	60.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	60.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
	44.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
▶	60.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
	21.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
▶	99.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	74.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	98.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	28.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (.f32 maxCos maxCos)))))
	56.7%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
▶	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	93.1%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	56.6%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
	88.8%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	52.5%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))

Compiler

Compiled 2 168 to 1 280 computations (41% saved)

simplify129.0ms (1.2%)

Memory

9.7MiB live, 150.2MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
cost-diff	2	(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))
cost-diff	3	(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
cost-diff	0	(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
cost-diff	3	(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	0	(*.f32 uy #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	0	(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff	0	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff	0	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	0	(*.f32 uy #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	808
0	112	768
1	220	768
2	568	746
3	2306	746
0	8452	740

Stop Event

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

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 uy)
uy
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux)))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) ux) ux)
(/.f32 #s(literal 1 binary32) ux)
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 ux ux)

Outputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
#s(literal -2 binary32)
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (sqrt.f32 (neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32)))) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(neg.f32 uy)
uy
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(neg.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux) #s(literal 1 binary32))))) (cos.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32)))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
(fma.f32 (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))
(+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (/.f32 #s(literal 1 binary32) ux) ux)
(/.f32 #s(literal 1 binary32) ux)
ux
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
maxCos
(/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)
(/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux)
(fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))
(fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32))
#s(literal -2 binary32)
(*.f32 ux ux)

localize181.0ms (1.7%)

Memory

10.4MiB live, 239.3MiB allocated; 60ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3515625	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.3691074251283518	(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))
accuracy	0.5263862793053261	(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))
accuracy	0.140625	(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy	0.3359375	(fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	0.42578125	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	0.140625	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
accuracy	0.3515625	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.42578125	(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.42578125	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	0.10803507784870771	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy	0.140625	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
accuracy	0.1484375	(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
accuracy	0.3515625	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Samples

118.0ms	248×	0	valid
6.0ms	8×	1	valid

Compiler

Compiled 670 to 53 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 35.0ms (39.5% of total)

ival-sin: 18.0ms (20.3% of total)

ival-add: 9.0ms (10.2% of total)

ival-div: 7.0ms (7.9% of total)

ival-sub: 6.0ms (6.8% of total)

ival-cosu: 4.0ms (4.5% of total)

ival-pow2: 3.0ms (3.4% of total)

ival-sqrt: 3.0ms (3.4% of total)

adjust: 1.0ms (1.1% of total)

ival-pi: 1.0ms (1.1% of total)

ival-neg: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory

8.5MiB live, 53.4MiB allocated; 9ms collecting garbage

Counts

22 → 148

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (PI.f32) (PI.f32))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))

Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(/ 1 (pow ux 2))
(/ (+ 1 (* ux (- (* 2 maxCos) 2))) (pow ux 2))
(/ (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) (pow ux 2))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(pow (- maxCos 1) 2)
(- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))
(- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 (- (* 2 maxCos) 2)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(+ (* -1 (/ (- (* -1 (- (* 2 maxCos) 2)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(pow maxCos 2)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))

Calls

9 calls:

Time	Variable		Point	Expression
25.0ms	maxCos	@	inf	((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2)) (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* ux ux)) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
5.0ms	ux	@	-inf	((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2)) (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* ux ux)) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
3.0ms	uy	@	inf	((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2)) (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* ux ux)) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
3.0ms	ux	@	0	((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2)) (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* ux ux)) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
3.0ms	maxCos	@	0	((* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* uy 2) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2)) (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* ux ux)) (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ (* 2 maxCos) -2) ux)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (- 1 ux))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))

simplify211.0ms (2%)

Memory

39.8MiB live, 276.0MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	733	4931
1	2722	4583
0	8171	4297

Stop Event

1×	iter limit
1×	node limit

Counts

148 → 148

Calls

Call 1

Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(/ 1 (pow ux 2))
(/ (+ 1 (* ux (- (* 2 maxCos) 2))) (pow ux 2))
(/ (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) (pow ux 2))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(pow (- maxCos 1) 2)
(- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))
(- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 (- (* 2 maxCos) 2)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(+ (* -1 (/ (- (* -1 (- (* 2 maxCos) 2)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* 2 (* uy (PI)))
(* 2 uy)
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(pow maxCos 2)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))

Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32) (.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32))
(/ 1 (pow ux 2))
(/.f32 #s(literal 1 binary32) (*.f32 ux ux))
(/ (+ 1 (* ux (- (* 2 maxCos) 2))) (pow ux 2))
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32)) (*.f32 ux ux))
(/ (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) (pow ux 2))
(/.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32)) (*.f32 ux ux))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/16 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* (pow ux 2) (pow (- maxCos 1) 2))
(.f32 (.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (neg.f32 ux))) (.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (neg.f32 ux))) (*.f32 ux ux))
(pow (- maxCos 1) 2)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))
(+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (neg.f32 ux)))
(- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))
(+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (neg.f32 ux)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(.f32 (.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) ux) (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) ux) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) maxCos))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (.f32 ux (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) ux) (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) ux) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 (- (* 2 maxCos) 2)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(.f32 (+.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(+ (* -1 (/ (- (* -1 (- (* 2 maxCos) 2)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(+.f32 (/.f32 (-.f32 (neg.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)))) (.f32 uy uy) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) (*.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/45 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32))) (.f32 uy uy) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(* 2 (* uy (PI)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(* 2 uy)
(*.f32 #s(literal 2 binary32) uy)
(sin (* 1/2 (PI)))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(fma.f32 (.f32 #s(literal -2 binary32) uy) (.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(fma.f32 (.f32 #s(literal -2 binary32) (fma.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32) (.f32 (.f32 uy (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) uy (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (.f32 (fma.f32 (.f32 #s(literal 4/3 binary32) uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) uy)) uy (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) uy) (.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (.f32 #s(literal -2 binary32) (fma.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) (PI.f32) (.f32 (.f32 uy (.f32 (PI.f32) (PI.f32))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))))) uy (.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal 4/3 binary32) uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) uy (.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))) uy (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (*.f32 uy uy) #s(literal 1 binary32))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))
(* -2 (* uy (PI)))
(.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) uy)
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(.f32 (neg.f32 uy) (fma.f32 (/.f32 (PI.f32) uy) #s(literal -1/2 binary32) (.f32 (PI.f32) #s(literal 2 binary32))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 maxCos ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 maxCos (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux))) (neg.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 maxCos ux) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 maxCos (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux))) (neg.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) ux)))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (.f32 (.f32 ux ux) maxCos) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(fma.f32 (.f32 (.f32 ux ux) maxCos) (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux)))
(- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))
(- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(-.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) ux))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(-.f32 (fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) maxCos (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) #s(literal 1 binary32))) (/.f32 #s(literal 2 binary32) ux))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (.f32 (.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 ux) ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (.f32 ux ux))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) ux))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) ux (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) ux (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (sin.f32 (neg.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (.f32 ux ux))) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) ux))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(.f32 (fma.f32 (.f32 ux ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (.f32 maxCos maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(.f32 (-.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos ux)) #s(literal 1 binary32))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos))) (.f32 maxCos maxCos))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (.f32 #s(literal 2 binary32) ux) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) ux (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (.f32 maxCos ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 (.f32 (neg.f32 ux) ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux) (/.f32 (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)) (neg.f32 maxCos))) (neg.f32 maxCos))) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (/.f32 #s(literal 2 binary32) ux)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (.f32 maxCos maxCos))

rewrite169.0ms (1.6%)

Memory

-44.6MiB live, 153.4MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	400
0	112	318
1	441	310
0	3482	309

Stop Event

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

Counts

22 → 479

Calls

Call 1

Inputs
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 uy) (*.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))
(+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(*.f32 (PI.f32) (PI.f32))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))

Outputs
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(fma.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))))
(fma.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))))
(+.f32 (.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32))) (.f32 (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))))) (-.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) (.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))))))
(-.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(fma.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (.f32 (sin.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))))
(cos.f32 (neg.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 uy (PI.f32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) uy)
(*.f32 uy #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) uy (*.f32 #s(literal 1 binary32) uy))
(fma.f32 uy #s(literal 1 binary32) (*.f32 uy #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) uy) (.f32 #s(literal 1 binary32) uy))
(+.f32 (.f32 uy #s(literal 1 binary32)) (.f32 uy #s(literal 1 binary32)))
(+.f32 uy uy)
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(pow.f32 (PI.f32) #s(literal 2 binary32))
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(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
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(-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)))
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(fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
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(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
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(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 maxCos (.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (.f32 maxCos (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (fabs.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (.f32 (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)))) (neg.f32 (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 3 binary32))) (fma.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 2 binary32)) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 3 binary32)) (fma.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (/.f32 (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) ux) (+.f32 (pow.f32 ux #s(literal -2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))

eval114.0ms (1.1%)

Memory: 11.5MiB live, 252.8MiB allocated; 27ms collecting garbage
Compiler: Compiled 40 187 to 3 220 computations (92% saved)

prune113.0ms (1.1%)

Memory

9.0MiB live, 197.1MiB allocated; 48ms collecting garbage

Pruning

49 alts after pruning (49 fresh and 0 done)

	Pruned	Kept	Total
New	762	43	805
Fresh	16	6	22
Picked	5	0	5
Done	0	0	0
Total	783	49	832

Accuracy

99.8%

Counts

832 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (+.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	60.1%	(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))))) #s(literal 2 binary32))
	99.0%	(.f32 (/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) (.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))))))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.0%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	98.8%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
▶	99.3%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.1%	(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	59.1%	(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	74.5%	(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	60.1%	(.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
▶	54.9%	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
	60.1%	(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.1%	(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.1%	(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	98.9%	(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.1%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	59.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	60.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 #s(approx (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ ( 2 maxCos) -2) ux)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))))))
	99.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))))))
	74.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	98.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	98.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
	54.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
	95.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	54.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
	56.7%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
▶	53.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
	53.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	55.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	20.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
	55.4%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	20.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
	26.1%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
▶	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
▶	88.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
	88.7%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	2.7%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 #s(literal -2 binary32) uy)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) #s(literal -2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	88.9%	#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	74.5%	#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	88.8%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	56.6%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
	52.5%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))

Compiler

Compiled 4 468 to 2 698 computations (39.6% saved)

simplify163.0ms (1.5%)

Memory

14.8MiB live, 203.5MiB allocated; 26ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff	0	(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
cost-diff	0	(.f32 (.f32 uy uy) #s(literal -2 binary32))
cost-diff	0	(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff	0	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff	0	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
cost-diff	0	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff	0	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
cost-diff	1	(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff	8	(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
cost-diff	0	(.f32 (.f32 uy uy) #s(literal -2 binary32))
cost-diff	0	(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
cost-diff	0	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
cost-diff	0	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff	0	(*.f32 #s(literal -2 binary32) uy)
cost-diff	0	(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
cost-diff	0	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
cost-diff	3	(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	817
0	101	769
1	205	769
2	540	769
3	2057	769
4	5520	769
0	8104	756

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) uy)
#s(literal -2 binary32)
uy
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
ux
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)

Outputs
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) uy)))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) uy))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 #s(literal -2 binary32) uy)
(*.f32 uy #s(literal -2 binary32))
#s(literal -2 binary32)
uy
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 2 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
(fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
maxCos
(-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)
(.f32 (.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) maxCos) ux)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos)
(*.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)) maxCos)
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
ux
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (acos.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(sin.f32 (acos.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))
(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(acos.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)

localize209.0ms (2%)

Memory

15.5MiB live, 248.8MiB allocated; 38ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))
accuracy	12.724318119921703	(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.140625	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
accuracy	0.1484375	(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	0.40234375	(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	12.5033806344363	(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.140625	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
accuracy	8.845539729931751	#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy	0.08203125	(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
accuracy	0.140625	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
accuracy	0.1484375	(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
accuracy	0.3359375	(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

138.0ms	248×	0	valid
11.0ms	8×	1	valid

Compiler

Compiled 649 to 54 computations (91.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-sub: 41.0ms (33.2% of total)

ival-mult: 38.0ms (30.8% of total)

ival-add: 13.0ms (10.5% of total)

ival-sin: 12.0ms (9.7% of total)

ival-acos: 5.0ms (4% of total)

ival-cosu: 4.0ms (3.2% of total)

ival-pow2: 3.0ms (2.4% of total)

ival-sqrt: 3.0ms (2.4% of total)

adjust: 2.0ms (1.6% of total)

ival-div: 2.0ms (1.6% of total)

ival-pi: 1.0ms (0.8% of total)

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

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

exact: 0.0ms (0% of total)

series82.0ms (0.8%)

Memory

-26.1MiB live, 120.6MiB allocated; 24ms collecting garbage

Counts

23 → 187

Calls

Call 1

Inputs
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) uy)
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))

Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* (cos (* 2 (* uy (PI)))) (sin (acos (- (+ 1 (* maxCos ux)) ux))))
(sin (acos (- (+ 1 (* maxCos ux)) ux)))
(acos (- (+ 1 (* maxCos ux)) ux))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (cos (* 2 (* uy (PI)))) (sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux))))))
(sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(acos (+ 1 (+ (* -1 ux) (* maxCos ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(* -2 uy)
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* -2 (pow uy 2))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* -2 (* (pow uy 2) (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* 2/3 (* (pow uy 2) (* (pow (PI) 4) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (* (pow (PI) 6) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(pow (- 1 ux) 2)
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))

Calls

9 calls:

Time	Variable		Point	Expression
30.0ms	maxCos	@	inf	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* -2 uy) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (cos (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) ux) (cos (* (* uy 2) (PI))))
12.0ms	uy	@	0	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* -2 uy) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (cos (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) ux) (cos (* (* uy 2) (PI))))
10.0ms	ux	@	0	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* -2 uy) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (cos (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) ux) (cos (* (* uy 2) (PI))))
6.0ms	ux	@	-inf	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* -2 uy) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (cos (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) ux) (cos (* (* uy 2) (PI))))
5.0ms	ux	@	inf	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* -2 uy) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* uy uy) -2) (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (cos (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (* (- (+ (* -2 maxCos) 2) (* (pow (- maxCos 1) 2) ux)) ux) (cos (* (* uy 2) (PI))))

simplify265.0ms (2.5%)

Memory

-31.5MiB live, 248.0MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	979	7044
1	3704	6939
0	8798	6503

Stop Event

1×	iter limit
1×	node limit

Counts

187 → 187

Calls

Call 1

Inputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(* ux (- 2 maxCos))
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* (cos (* 2 (* uy (PI)))) (sin (acos (- (+ 1 (* maxCos ux)) ux))))
(sin (acos (- (+ 1 (* maxCos ux)) ux)))
(acos (- (+ 1 (* maxCos ux)) ux))
1
(+ 1 (* ux (- maxCos 1)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* (pow ux 2) (- maxCos 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* (cos (* 2 (* uy (PI)))) (sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux))))))
(sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(acos (+ 1 (+ (* -1 ux) (* maxCos ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(* -2 uy)
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* -2 (pow uy 2))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* -2 (* (pow uy 2) (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* 2/3 (* (pow uy 2) (* (pow (PI) 4) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (* (pow (PI) 6) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(pow (- 1 ux) 2)
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos (* ux (- 1 ux))))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))

Outputs
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (.f32 ux ux) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (.f32 ux ux) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- 2 maxCos))
(*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)
(* ux (- (+ 2 (* ux (- maxCos 1))) maxCos))
(*.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* (cos (* 2 (* uy (PI)))) (sin (acos (- (+ 1 (* maxCos ux)) ux))))
(.f32 (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(sin (acos (- (+ 1 (* maxCos ux)) ux)))
(sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(acos (- (+ 1 (* maxCos ux)) ux))
(acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(sqrt (* ux (- 2 (* 2 maxCos))))
(sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(fma.f32 (fma.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (.f32 ux ux) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) #s(literal -1/16 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(+ 1 (* ux (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 ux ux)) (fma.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))))) #s(literal 1/16 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 ux ux)) (fma.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))))) #s(literal 1/16 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(.f32 (.f32 (neg.f32 ux) ux) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (- maxCos 1))
(.f32 (.f32 ux ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (/ maxCos ux))))
(.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux))) (.f32 ux ux))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(.f32 (fma.f32 (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(.f32 (fma.f32 (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32)))) (.f32 (/.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) #s(literal 1/16 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))))))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(.f32 (.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))
(* ux (* (sqrt -1) (- maxCos 1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 ux ux)) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 ux ux)) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* -1 (* (pow ux 2) (- maxCos 1)))
(.f32 (.f32 (neg.f32 ux) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (neg.f32 ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) ux))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(.f32 (.f32 (neg.f32 ux) ux) (+.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux))
(* -1 (* (pow ux 2) (+ 1 (* -1 maxCos))))
(.f32 (.f32 (neg.f32 ux) ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (* -1 maxCos))))
(.f32 (-.f32 (-.f32 (/.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 maxCos)) (.f32 ux ux))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(.f32 (.f32 (neg.f32 ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))) (sqrt.f32 (+.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
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(* (cos (* 2 (* uy (PI)))) (sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux))))))
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(sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(sin.f32 (acos.f32 (fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))))
(acos (+ 1 (+ (* -1 ux) (* maxCos ux))))
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(* -1 (* ux (+ 1 (* -1 maxCos))))
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(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
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(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(.f32 (neg.f32 ux) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
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(* (pow ux 2) (+ 1 (* -1 maxCos)))
(.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
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(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
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(sin (* 1/2 (PI)))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
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(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
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(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
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(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
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(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(* -2 uy)
(*.f32 #s(literal -2 binary32) uy)
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
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(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
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(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (*.f32 uy uy) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
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(* -2 (pow uy 2))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 uy uy))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 #s(literal -4/45 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* -2 (* (pow uy 2) (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))
(fma.f32 (.f32 (.f32 (.f32 uy uy) (.f32 (PI.f32) (PI.f32))) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal -2 binary32) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* 2/3 (* (pow uy 2) (* (pow (PI) 4) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 uy uy)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (*.f32 uy uy) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(+ (sin (acos (- (+ 1 (* maxCos ux)) ux))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (* (pow (PI) 6) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 2/3 (* (pow (PI) 4) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (.f32 uy uy)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal -4/45 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (.f32 uy uy) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (.f32 uy uy) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(* -2 (* uy (PI)))
(.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(.f32 (neg.f32 uy) (fma.f32 (/.f32 (PI.f32) uy) #s(literal -1/2 binary32) (.f32 (PI.f32) #s(literal 2 binary32))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (.f32 (.f32 maxCos ux) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (.f32 (.f32 maxCos ux) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 ux) ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -1 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (.f32 (.f32 ux ux) maxCos))) maxCos (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(sqrt (- 1 (pow (- 1 ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(fma.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (.f32 (neg.f32 ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 maxCos ux) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) ux)))) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))) ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (- 1 ux))))
(.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))
(* maxCos (- (/ 1 maxCos) (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(.f32 (fma.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (.f32 (neg.f32 ux) ux))) (*.f32 maxCos maxCos))
(* maxCos (* ux (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (.f32 ux ux))) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(* maxCos (* ux (- 1 ux)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 ux ux) maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (.f32 maxCos ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 ux ux) maxCos)) (/.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -1 (* ux (- 1 ux))))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 2 (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (- 2 (* 2 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (sqrt -1))))
(.f32 (.f32 (neg.f32 ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 maxCos ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (/.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) (neg.f32 maxCos))

rewrite117.0ms (1.1%)

Memory

12.4MiB live, 103.6MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	428
0	101	358
1	409	351
0	3118	344

Stop Event

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

Counts

23 → 329

Calls

Call 1

Inputs
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) uy)
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32)))

Outputs
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))) (-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))))))
(-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32))))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32))))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))
(cos.f32 (neg.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))
(cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
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(+.f32 (.f32 ux (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (.f32 ux (.f32 maxCos #s(literal -2 binary32))))
(+.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(+.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (.f32 ux (neg.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (pow.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal 1 binary32)))

eval115.0ms (1.1%)

Memory: -2.2MiB live, 185.2MiB allocated; 28ms collecting garbage
Compiler: Compiled 40 844 to 3 221 computations (92.1% saved)

prune76.0ms (0.7%)

Memory

-1.2MiB live, 148.7MiB allocated; 12ms collecting garbage

Pruning

61 alts after pruning (60 fresh and 1 done)

	Pruned	Kept	Total
New	720	32	752
Fresh	16	28	44
Picked	4	1	5
Done	0	0	0
Total	740	61	801

Accuracy

99.9%

Counts

801 → 61

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (+.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	60.1%	(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))))) #s(literal 2 binary32))
	60.0%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	98.8%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	98.2%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)) #s(literal 1/4 binary32))))
▶	99.3%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
	98.8%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
	95.5%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	96.7%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (exp.f32 (.f32 (log.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) #s(literal 1/2 binary32))))
	88.9%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	60.1%	(.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	99.1%	(.f32 (sin.f32 (+.f32 (/.f32 (pow.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))) (/.f32 (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	53.8%	(.f32 (sin.f32 (acos.f32 #s(approx (+ ( maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
	99.2%	(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.1%	(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.1%	(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	98.9%	(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.1%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	74.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	98.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	98.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
▶	54.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
	95.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	54.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
▶	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	53.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	53.1%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	41.2%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	20.3%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	55.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	88.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
	53.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	55.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	20.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
	55.4%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	20.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
	26.1%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
	88.7%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux)))))
	88.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
✓	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal -1 binary32)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	53.4%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	68.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	88.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
▶	4.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	74.5%	#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	88.9%	#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	74.5%	#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	56.7%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 uy uy))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	88.8%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
▶	54.7%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	52.6%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))

Compiler

Compiled 6 171 to 3 684 computations (40.3% saved)

simplify161.0ms (1.5%)

Memory

15.6MiB live, 197.7MiB allocated; 21ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
cost-diff	1	(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
cost-diff	0	(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
cost-diff	0	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
cost-diff	7	(fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
cost-diff	15	(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	0	(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))
cost-diff	0	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32)))
cost-diff	0	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	0	(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
cost-diff	0	#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))
cost-diff	0	#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))))
cost-diff	0	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff	0	(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
cost-diff	0	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
cost-diff	2	(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
cost-diff	3	(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1138
0	165	1005
1	337	1001
2	910	1001
3	3854	1001
0	8141	995

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) uy)
#s(literal -2 binary32)
uy
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))
(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
maxCos
ux
(.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(neg.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 uy uy)
uy
#s(literal -2 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))
#s(literal 1 binary32)
(fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
ux
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos)))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
(/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)
(-.f32 #s(literal 2 binary32) ux)
ux
maxCos
(/.f32 ux maxCos)
(neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))
(+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)
(fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))
#s(literal -2 binary32)
(*.f32 maxCos maxCos)

Outputs
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal -2 binary32) uy)
(*.f32 uy #s(literal -2 binary32))
#s(literal -2 binary32)
uy
(PI.f32)
(/.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(.f32 (-.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
maxCos
ux
(.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(.f32 (.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(neg.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(-.f32 maxCos #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy)))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy)
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))
maxCos
#s(literal 2 binary32)
ux
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy #s(literal 1 binary32))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32)))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy #s(literal 1 binary32))
(.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy))
(.f32 (.f32 (PI.f32) uy) (*.f32 (PI.f32) uy))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 uy uy)
uy
#s(literal -2 binary32)
#s(literal 1 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy #s(literal 1 binary32))))
(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))) (fma.f32 (.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy #s(literal 1 binary32)))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) uy) uy)
(.f32 (.f32 uy uy) #s(literal -2 binary32))
(*.f32 uy uy)
uy
#s(literal -2 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
#s(literal 1 binary32)
(fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux #s(literal 1 binary32))
maxCos
ux
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) ux)) maxCos)))))) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos)))))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) ux)) maxCos))))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) ux)) maxCos)))))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos)))
#s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) ux)) maxCos))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) ux (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) ux)) maxCos)))
(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
(fma.f32 (neg.f32 ux) ux (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) ux)) maxCos))
(/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos)
(-.f32 #s(literal 2 binary32) ux)
ux
maxCos
(/.f32 ux maxCos)
(neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(*.f32 (neg.f32 ux) (+.f32 (/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) maxCos) ux))
(*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))
(*.f32 (+.f32 (/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) maxCos) ux) ux)
(+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)
(+.f32 (/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) maxCos) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos)
(/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) maxCos)
(fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))
(fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))
#s(literal -2 binary32)
(*.f32 maxCos maxCos)

localize265.0ms (2.5%)

Memory

-30.4MiB live, 307.3MiB allocated; 50ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.18359375	(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
accuracy	0.24609375	(*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))
accuracy	0.3515625	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	13.898477353418754	(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
accuracy	0.40234375	(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.443318654563909	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.42578125	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32)))
accuracy	12.48077148574424	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	1.0	(*.f32 (PI.f32) (PI.f32))
accuracy	3.4823037709182336	#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))))
accuracy	8.845539729931751	#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy	30.219505901341417	#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))
accuracy	0.08203125	(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
accuracy	0.08203125	(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
accuracy	0.140625	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
accuracy	0.3359375	(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

178.0ms	252×	0	valid
5.0ms	4×	1	valid

Compiler

Compiled 825 to 80 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

ival-mult: 54.0ms (40.1% of total)

ival-sqrt: 24.0ms (17.8% of total)

ival-add: 17.0ms (12.6% of total)

ival-sub: 10.0ms (7.4% of total)

ival-sin: 9.0ms (6.7% of total)

ival-div: 7.0ms (5.2% of total)

ival-neg: 5.0ms (3.7% of total)

ival-cosu: 4.0ms (3% of total)

ival-pow2: 3.0ms (2.2% of total)

adjust: 1.0ms (0.7% of total)

ival-pi: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory

11.7MiB live, 56.9MiB allocated; 5ms collecting garbage

Counts

29 → 255

Calls

Call 1

Inputs
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (PI.f32) (PI.f32))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))

Outputs
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (+ (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (* 1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (+ (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))) (* (pow ux 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ux 5) (pow (- 2 (* 2 maxCos)) 5)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))) (* 1/8 (* (sqrt (/ 1 (* (pow ux 5) (pow (- 2 (* 2 maxCos)) 5)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* ux (- (+ (* 2 (/ 1 (pow maxCos 2))) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* 2 (/ 1 maxCos))))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* 2 (/ ux maxCos))
(* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* -1/8 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))))))
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 maxCos)) (/ 2 (* (pow maxCos 2) ux))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 2))) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5))))) (* 1/8 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 3))) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 2))) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))))) ux)) (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2)))))
(* (pow ux 2) (- (* -1 (/ (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2)))) ux)) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2)))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* -1 (* (pow maxCos 2) (* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* -1 (* (pow maxCos 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux))))
(* -1 (* (pow ux 2) (- (* 2 (/ 1 maxCos)) 1)))
(* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (* 2 (/ 1 (* maxCos ux)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* 2 (* uy (PI)))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (/ 1 (pow uy 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(+ (* -1 (pow ux 2)) (* 2 ux))
(+ (* -1 (pow ux 2)) (+ (* 2 ux) (* maxCos (+ (* -2 ux) (* 2 (pow ux 2))))))
(+ (* -1 (pow ux 2)) (+ (* 2 ux) (* maxCos (+ (* -2 ux) (+ (* -1 (* maxCos (pow ux 2))) (* 2 (pow ux 2)))))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2))))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (* (pow uy 2) (* (pow (PI) 2) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2))))))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* maxCos (+ (* -1/2 (* (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* (* ux (* (pow uy 2) (* (pow (PI) 2) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3)))))) (* (* (pow uy 2) (* (pow (PI) 2) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(/ (* ux (- 2 ux)) (pow maxCos 2))
(/ (+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) (pow maxCos 2))
(/ (+ (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) (pow maxCos 2))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(/ (* ux (+ 2 (* -2 ux))) maxCos)
(/ (+ (* maxCos (pow ux 2)) (* ux (+ 2 (* -2 ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ ux maxCos)) (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos)))))
(* (pow maxCos 2) (+ (* -2 (/ ux maxCos)) (+ (* -1 (/ (pow ux 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (+ (* 2 (/ ux (pow maxCos 2))) (* 2 (/ (pow ux 2) maxCos)))))))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (pow ux 2))
(- (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (pow ux 2))
(- (/ (* ux (- 2 ux)) (pow maxCos 2)) (+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(pow maxCos 2)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(pow ux 2)
(+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (* 2 ux)) maxCos)) (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1)))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (pow uy 2) (* (pow (PI) 2) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow ux 2) (pow (sqrt -1) 3)))) maxCos)) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1)))))) maxCos)) (/ 1 (sqrt -1)))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(- (* -1 (/ (- (* -1 (/ (* ux (- 2 ux)) maxCos)) (* -1 (* ux (+ 2 (* -2 ux))))) maxCos)) (pow ux 2))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	maxCos	@	0	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* uy uy) -2) (* (PI) (PI))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* (PI) (PI)) (* uy uy)) -2) 1) (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)) (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))
8.0ms	ux	@	0	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* uy uy) -2) (* (PI) (PI))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* (PI) (PI)) (* uy uy)) -2) 1) (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)) (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))
6.0ms	ux	@	inf	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* uy uy) -2) (* (PI) (PI))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* (PI) (PI)) (* uy uy)) -2) 1) (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)) (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))
6.0ms	ux	@	-inf	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* uy uy) -2) (* (PI) (PI))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* (PI) (PI)) (* uy uy)) -2) 1) (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)) (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))
4.0ms	maxCos	@	inf	((sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (* (* (* uy uy) -2) (* (PI) (PI))) (+ (- 1 ux) (* ux maxCos)) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (+ (* (* (* (PI) (PI)) (* uy uy)) -2) 1) (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (cos (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (pow (- maxCos 1) 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (PI) (PI)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)) (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))

simplify212.0ms (2%)

Memory

16.6MiB live, 238.9MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1370	10758
1	5275	10577
0	8301	9976

Stop Event

1×	iter limit
1×	node limit

Counts

255 → 255

Calls

Call 1

Inputs
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (+ (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (* 1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (+ (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))) (* (pow ux 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ux 5) (pow (- 2 (* 2 maxCos)) 5)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))) (* 1/8 (* (sqrt (/ 1 (* (pow ux 5) (pow (- 2 (* 2 maxCos)) 5)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* ux (- (+ (* 2 (/ 1 (pow maxCos 2))) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* 2 (/ 1 maxCos))))
(sqrt (* ux (- 2 (* 2 maxCos))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* 2 (/ ux maxCos))
(* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))))
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* -1/8 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))))))
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(* (pow ux 2) (- (+ (* 2 (/ 1 maxCos)) (/ 2 (* (pow maxCos 2) ux))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(* -1 (* (pow ux 2) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 2))) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5))))) (* 1/8 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 3))) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 2))) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))))) ux)) (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2)))))
(* (pow ux 2) (- (* -1 (/ (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2)))) ux)) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2)))))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* (pow ux 2) (+ 1 (* -1 maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* -1 (* (pow maxCos 2) (* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* -1 (* (pow maxCos 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2))))) (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux))))
(* -1 (* (pow ux 2) (- (* 2 (/ 1 maxCos)) 1)))
(* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (* 2 (/ 1 (* maxCos ux)))))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -2 (* uy (* (PI) (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (* 1/2 (PI)))))) (* -2 (* (PI) (cos (* 1/2 (PI))))))))
(+ (sin (* 1/2 (PI))) (* uy (+ (* -2 (* (PI) (cos (* 1/2 (PI))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (* 1/2 (PI))))) (* 4/3 (* uy (* (pow (PI) 3) (cos (* 1/2 (PI)))))))))))
(* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(+ (* -2 (* (* uy (* (PI) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* uy (* (pow (PI) 2) (sin (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(+ (* uy (+ (* -2 (* (* (PI) (cos (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* uy (+ (* -2 (* (* (pow (PI) 2) (sin (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/3 (* (* uy (* (pow (PI) 3) (cos (* 1/2 (PI))))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))) (* (sin (* 1/2 (PI))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 1/2 (PI))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(+ (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(* -2 (* (pow uy 2) (pow (PI) 2)))
(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (* (pow uy 2) (pow (PI) 4)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))
(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* 2 (* uy (PI)))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* -2 (* uy (PI)))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(cos (* 2 (* uy (PI))))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (/ 1 (pow uy 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(+ (* -1 (pow ux 2)) (* 2 ux))
(+ (* -1 (pow ux 2)) (+ (* 2 ux) (* maxCos (+ (* -2 ux) (* 2 (pow ux 2))))))
(+ (* -1 (pow ux 2)) (+ (* 2 ux) (* maxCos (+ (* -2 ux) (+ (* -1 (* maxCos (pow ux 2))) (* 2 (pow ux 2)))))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2))))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (* (pow uy 2) (* (pow (PI) 2) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2))))))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* maxCos (+ (* -1/2 (* (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* (* ux (* (pow uy 2) (* (pow (PI) 2) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3)))))) (* (* (pow uy 2) (* (pow (PI) 2) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(/ (* ux (- 2 ux)) (pow maxCos 2))
(/ (+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) (pow maxCos 2))
(/ (+ (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) (pow maxCos 2))
(sqrt (- 1 (pow (- 1 ux) 2)))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(+ 1 (* -2 maxCos))
(+ 1 (* maxCos (- maxCos 2)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(* ux (- 2 ux))
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(/ (* ux (+ 2 (* -2 ux))) maxCos)
(/ (+ (* maxCos (pow ux 2)) (* ux (+ 2 (* -2 ux)))) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ ux maxCos)) (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos)))))
(* (pow maxCos 2) (+ (* -2 (/ ux maxCos)) (+ (* -1 (/ (pow ux 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (+ (* 2 (/ ux (pow maxCos 2))) (* 2 (/ (pow ux 2) maxCos)))))))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))))
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (pow ux 2))
(- (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (pow ux 2))
(- (/ (* ux (- 2 ux)) (pow maxCos 2)) (+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(pow maxCos 2)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (- 1 ux)))
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(pow ux 2)
(+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (* 2 ux)) maxCos)) (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1)))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (pow uy 2) (* (pow (PI) 2) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow ux 2) (pow (sqrt -1) 3)))) maxCos)) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1)))))) maxCos)) (/ 1 (sqrt -1)))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(- (* -1 (/ (- (* -1 (/ (* ux (- 2 ux)) maxCos)) (* -1 (* ux (+ 2 (* -2 ux))))) maxCos)) (pow ux 2))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))

Outputs
(* ux (+ 2 (* -2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- maxCos 1) 2))))))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))))
(fma.f32 (.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (.f32 ux ux) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))))
(fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))))
(+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (+ (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (* 1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))))))))))
(+.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) #s(literal -1/8 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32)))))) (.f32 ux ux) (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (+ (* -2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow uy 2) (pow (PI) 2)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) (+ (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (pow uy 2) (* (pow (PI) 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2))))) (* (pow ux 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ux 5) (pow (- 2 (* 2 maxCos)) 5)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))) (* 1/8 (* (sqrt (/ 1 (* (pow ux 5) (pow (- 2 (* 2 maxCos)) 5)))) (* (pow uy 2) (* (pow (PI) 2) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))))))))
(+.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (fma.f32 (fma.f32 (.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 5 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal 1/8 binary32) (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 5 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) #s(literal -1/16 binary32))) (.f32 ux ux) (.f32 (.f32 #s(literal 1/4 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32)))))) (.f32 ux ux) (.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos (fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))))) (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))))) (.f32 ux ux) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux)
(* ux (- (+ (* 2 (/ 1 (pow maxCos 2))) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* 2 (/ 1 maxCos))))
(.f32 (-.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos))) (/.f32 #s(literal 2 binary32) maxCos)) ux)
(sqrt (* ux (- 2 (* 2 maxCos))))
(sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (pow (- maxCos 1) 2))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (pow (- maxCos 1) 4))))))
(fma.f32 (fma.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))))) #s(literal -1/8 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal -1/2 binary32))) (.f32 ux ux) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(+ (sqrt (* ux (- 2 (* 2 maxCos)))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (pow (- maxCos 1) 2))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (pow (- maxCos 1) 4))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (pow (- maxCos 1) 6))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)) ux)))) #s(literal -1/16 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)
(+ 1 (* ux (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* -1 (* ux (- maxCos 1)))) 2)))
(fma.f32 (-.f32 (-.f32 maxCos (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(.f32 (.f32 (.f32 maxCos maxCos) ux) (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux)
(* 2 (/ ux maxCos))
(*.f32 (/.f32 ux maxCos) #s(literal 2 binary32))
(* ux (+ (* ux (- 1 (* 2 (/ 1 maxCos)))) (* 2 (/ 1 maxCos))))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux (/.f32 #s(literal 2 binary32) maxCos)) ux)
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(.f32 (.f32 (neg.f32 ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))))
(.f32 (fma.f32 (/.f32 maxCos ux) #s(literal -2 binary32) (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))
(* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 ux ux)) (fma.f32 (.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))
(* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 ux ux)) (fma.f32 (.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) #s(literal -2 binary32) (.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32)))) ux)
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))))) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32)))))) ux)
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))))) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (fma.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal 1/4 binary32) (fma.f32 (.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32)))))))) ux)
(* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (+ (* -1 (* (/ (* (pow uy 2) (* (pow (PI) 2) (- 2 (* 2 maxCos)))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (+ (* -1/8 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* -1/8 (* (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (- 2 (* 2 maxCos)) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (sqrt -1) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))))) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32)))) (.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) #s(literal -1/8 binary32) (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (fma.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32)))) (fma.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal 1/4 binary32) (fma.f32 (.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (sqrt.f32 #s(literal -1 binary32)))))))))) ux)
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (+ (* maxCos (- maxCos 1)) (/ 1 (pow ux 2))))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (/.f32 #s(literal 1 binary32) (.f32 ux ux))))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux) (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(.f32 (fma.f32 (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 5))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(.f32 (fma.f32 (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 ux ux)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) #s(literal -1/8 binary32) (fma.f32 (.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 5 binary32))))) #s(literal 1/16 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))))))) ux)
(* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ 1 maxCos)) (/ 2 (* (pow maxCos 2) ux))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) ux) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux))) (.f32 ux ux))
(* ux (* (sqrt -1) (- maxCos 1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 ux ux)) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (pow (- 2 (* 2 maxCos)) 2) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (pow (- 2 (* 2 maxCos)) 3) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (- 2 (* 2 maxCos)) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 ux ux)) (pow.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32) (fma.f32 (/.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (-.f32 maxCos #s(literal 1 binary32))))))) ux)
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (pow (- maxCos 1) 2))
(.f32 (.f32 ux ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* -1 (* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(.f32 (neg.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos))) (*.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1))))))
(.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)))) (*.f32 ux ux))
(* -1 (* (pow ux 2) (- maxCos 1)))
(.f32 (.f32 (neg.f32 ux) ux) (-.f32 maxCos #s(literal 1 binary32)))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (/ maxCos ux)) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 maxCos ux)) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(.f32 (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) (.f32 maxCos maxCos)) ux)) (*.f32 ux ux))
(* (pow ux 2) (- 1 (* 2 (/ 1 maxCos))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (.f32 ux ux))
(* (pow ux 2) (- (+ 1 (* 2 (/ 1 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (.f32 ux ux))
(* -1 (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (*.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux) (.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) ux))) ux))))
(* -1 (* ux (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (neg.f32 ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux) (.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/16 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (pow.f32 (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))) #s(literal -1/8 binary32))) ux))) ux))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (neg.f32 ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) #s(literal -2 binary32) (.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (fma.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 uy uy)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))))) ux)))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 2))) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (fma.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 3 binary32)))))) ux) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 uy uy)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))))))) ux)))))
(* -1 (* ux (+ (* -2 (* (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5))))) (* 1/8 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 3))) (pow (sqrt -1) 5)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/4 (* (/ (* (pow uy 2) (* (pow (PI) 2) (pow (+ 2 (* -2 maxCos)) 2))) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))))) ux)) (+ (* -1/2 (* (/ (+ 2 (* -2 maxCos)) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (/ (* (pow uy 2) (* (pow (PI) 2) (+ 2 (* -2 maxCos)))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (sqrt -1) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (fma.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (.f32 uy uy)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 5 binary32)))) (.f32 (.f32 #s(literal -1/16 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 5 binary32)))))) ux) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 3 binary32))))))) ux) #s(literal -1 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))) (.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 uy uy)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))))))) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (neg.f32 maxCos)) #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (neg.f32 maxCos)) #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(.f32 (.f32 (neg.f32 ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))))) (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))) (.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (pow (sqrt -1) 3))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3)))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))) (.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 3 binary32)))))) ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow (sqrt -1) 3)) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 3))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (pow (sqrt -1) 5))) (sqrt (/ 1 (pow (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) 5)))))) ux)) (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.f32 (sqrt.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)))) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos)) #s(literal 5 binary32)))))) ux))) ux))))
(* -1 (* (pow ux 2) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2)))))
(.f32 (neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (*.f32 ux ux))
(* (pow ux 2) (- (* -1 (/ (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2)))) ux)) (+ (* -1 (- (* 2 (/ 1 maxCos)) 1)) (/ 1 (pow maxCos 2)))))
(.f32 (-.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) ux)) (neg.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 ux ux))
(* -1 (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))
(.f32 (neg.f32 ux) (.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* ux (+ (* 1/2 (/ (+ 2 (* -2 maxCos)) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (neg.f32 ux) (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (+ 2 (* -2 maxCos)) 2) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (pow (+ 2 (* -2 maxCos)) 3) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (+ 2 (* -2 maxCos)) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
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(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -2 (* uy (PI))) (* 1/2 (PI)))
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(sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
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(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
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(* -2 (* (pow uy 2) (pow (PI) 2)))
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(sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))
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(+ (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (pow (PI) 6)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2/3 (* (pow (PI) 4) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 #s(literal -4/45 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(* 2 (* uy (PI)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(sin (+ (* -2 (* uy (PI))) (* 1/2 (PI))))
(sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(* -2 (* uy (PI)))
(.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))
(* uy (+ (* -2 (PI)) (* 1/2 (/ (PI) uy))))
(.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) uy)
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))
(* (pow uy 2) (+ (* -2 (pow (PI) 2)) (/ 1 (pow uy 2))))
(.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy))
(* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(* (pow uy 2) (+ (* -2 (* (pow (PI) 2) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (/ 1 (pow uy 2)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))))
(.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (.f32 uy uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(* -1 (* uy (+ (* -1/2 (/ (PI) uy)) (* 2 (PI)))))
(.f32 (neg.f32 uy) (fma.f32 (/.f32 (PI.f32) uy) #s(literal -1/2 binary32) (.f32 (PI.f32) #s(literal 2 binary32))))
(+ (* -1 (pow ux 2)) (* 2 ux))
(fma.f32 (neg.f32 ux) ux (*.f32 #s(literal 2 binary32) ux))
(+ (* -1 (pow ux 2)) (+ (* 2 ux) (* maxCos (+ (* -2 ux) (* 2 (pow ux 2))))))
(fma.f32 (neg.f32 ux) ux (fma.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) (.f32 #s(literal -2 binary32) ux)) maxCos (*.f32 #s(literal 2 binary32) ux)))
(+ (* -1 (pow ux 2)) (+ (* 2 ux) (* maxCos (+ (* -2 ux) (+ (* -1 (* maxCos (pow ux 2))) (* 2 (pow ux 2)))))))
(fma.f32 (neg.f32 ux) ux (fma.f32 (fma.f32 #s(literal -2 binary32) ux (-.f32 (.f32 (.f32 ux ux) #s(literal 2 binary32)) (.f32 (.f32 ux ux) maxCos))) maxCos (*.f32 #s(literal 2 binary32) ux)))
(* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (.f32 (.f32 ux maxCos) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 ux maxCos) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (.f32 (.f32 ux maxCos) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (cos (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 ux maxCos) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy))) #s(literal -2 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2))))))))))
(+.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy))) #s(literal -2 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (fma.f32 (.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #s(literal 2 binary32) (.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (* (pow uy 2) (* (pow (PI) 2) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2))))))))))))
(+.f32 (fma.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) maxCos (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (+ (* -2 (* (* (pow uy 2) (pow (PI) 2)) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* 2 (* (* ux (* (pow uy 2) (* (pow (PI) 2) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (+ (* maxCos (+ (* -1/2 (* (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* (* ux (* (pow uy 2) (* (pow (PI) 2) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3)))))) (* (* (pow uy 2) (* (pow (PI) 2) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))))
(+.f32 (fma.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (.f32 (PI.f32) (PI.f32))) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32))))) #s(literal -1/2 binary32))) maxCos (.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32) (.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/ (* ux (- 2 ux)) (pow maxCos 2))
(*.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))
(/ (+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) (pow maxCos 2))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)) (.f32 maxCos maxCos))
(/ (+ (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux))) (pow maxCos 2))
(/.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (.f32 (.f32 ux ux) maxCos))) maxCos (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) (*.f32 maxCos maxCos))
(sqrt (- 1 (pow (- 1 ux) 2)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* -1 (* (* maxCos (* ux (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))
(fma.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(fma.f32 (fma.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (.f32 (neg.f32 ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ (sqrt (- 1 (pow (- 1 ux) 2))) (* maxCos (+ (* -1 (* (* ux (- 1 ux)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux)))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 ux maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+ 1 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos #s(literal 1 binary32))
(- 1 (pow (- 1 ux) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (.f32 ux ux) (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* ux (- 2 ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(+ (* -1 (* maxCos (* ux (+ 2 (* -2 ux))))) (* ux (- 2 ux)))
(-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (* ux (+ 2 (* -2 ux)))))) (* ux (- 2 ux)))
(fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (.f32 (.f32 ux ux) maxCos))) maxCos (.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(/ (* ux (+ 2 (* -2 ux))) maxCos)
(/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)
(/ (+ (* maxCos (pow ux 2)) (* ux (+ 2 (* -2 ux)))) maxCos)
(/.f32 (fma.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux (.f32 (.f32 ux ux) maxCos)) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 (neg.f32 maxCos) maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* -2 (/ ux maxCos)) (+ (* -1 (pow ux 2)) (* 2 (/ (pow ux 2) maxCos)))))
(.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (fma.f32 (neg.f32 ux) ux (.f32 (/.f32 (.f32 ux ux) maxCos) #s(literal 2 binary32)))) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ ux maxCos)) (+ (* -1 (/ (pow ux 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (+ (* 2 (/ ux (pow maxCos 2))) (* 2 (/ (pow ux 2) maxCos)))))))
(.f32 (fma.f32 (/.f32 ux maxCos) #s(literal -2 binary32) (fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (/.f32 (.f32 ux ux) maxCos) (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 ux (.f32 maxCos maxCos)) (/.f32 (.f32 ux ux) maxCos)) (.f32 (neg.f32 ux) ux)))) (.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))
(.f32 (.f32 ux maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux (neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (sin.f32 (neg.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) ux)))) maxCos)
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 ux maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) maxCos) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)))) maxCos)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* ux (sqrt -1))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) maxCos)
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) ux) (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 uy uy)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (fma.f32 (neg.f32 (.f32 (/.f32 uy maxCos) (/.f32 uy maxCos))) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) #s(literal 2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))))) maxCos)
(* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* 2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))))))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (fma.f32 (neg.f32 (/.f32 (.f32 uy uy) (pow.f32 maxCos #s(literal 3 binary32)))) (.f32 (/.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 ux ux))) (fma.f32 (neg.f32 (.f32 (/.f32 uy maxCos) (/.f32 uy maxCos))) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (.f32 ux ux))) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) #s(literal 2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))))))) maxCos)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 maxCos maxCos) (*.f32 ux ux))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(* -1 (pow ux 2))
(*.f32 (neg.f32 ux) ux)
(- (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (pow ux 2))
(.f32 #s(literal -1 binary32) (fma.f32 ux ux (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))
(- (/ (* ux (- 2 ux)) (pow maxCos 2)) (+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2)))
(-.f32 (.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)) (fma.f32 ux ux (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos)))
(* maxCos (* ux (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (/.f32 #s(literal -1 binary32) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos)
(* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(.f32 (+.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (.f32 ux ux))) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- 1 (* 2 (/ 1 maxCos))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* maxCos (* ux (- 1 ux)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos)
(* maxCos (+ (* ux (- 1 ux)) (/ (pow (- 1 ux) 2) maxCos)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 #s(literal -1 binary32) (fma.f32 ux ux (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- 2 ux)) (pow maxCos 2)))))
(.f32 (fma.f32 (neg.f32 ux) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) (fma.f32 (neg.f32 ux) ux (.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(pow ux 2)
(*.f32 ux ux)
(+ (/ (* ux (+ 2 (* -2 ux))) maxCos) (pow ux 2))
(fma.f32 ux ux (/.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) maxCos)) (* -1 (pow ux 2))))
(.f32 (fma.f32 (neg.f32 ux) ux (neg.f32 (/.f32 (fma.f32 (.f32 ux ux) #s(literal -2 binary32) (.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (* 2 ux)) maxCos)) (* 2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (fma.f32 (neg.f32 ux) ux (neg.f32 (/.f32 (fma.f32 (.f32 ux ux) #s(literal -2 binary32) (fma.f32 #s(literal 2 binary32) ux (neg.f32 (/.f32 (fma.f32 (neg.f32 ux) ux (.f32 #s(literal 2 binary32) ux)) maxCos)))) maxCos))) (.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) ux (neg.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 ux maxCos)) (/.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (+ (* -2 (* uy (PI))) (* 1/2 (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 ux ux) maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (cos.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (.f32 ux maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (cos (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 ux ux) maxCos)) (/.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -1 binary32) (neg.f32 ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 uy uy)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1)))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 uy uy)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -2 binary32) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 ux (sqrt.f32 #s(literal -1 binary32)))) maxCos)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -2 (* ux (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (+ (* -1 (/ (- (+ (* -2 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 ux))) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (* (pow uy 2) (* (pow (PI) 2) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) (+ (* -1 (/ (+ (* -1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow ux 2) (pow (sqrt -1) 3)))) (/ (* (pow uy 2) (* (pow (PI) 2) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))))) (* (pow ux 2) (pow (sqrt -1) 3)))) maxCos)) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1)))))) maxCos)) (/ 1 (sqrt -1)))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1))))))
(.f32 (fma.f32 (.f32 (.f32 ux (.f32 uy uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (PI.f32) (PI.f32)))) #s(literal -2 binary32) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 uy uy)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -2 binary32) (fma.f32 (/.f32 (fma.f32 (neg.f32 (/.f32 (.f32 uy uy) ux)) (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) ux) (neg.f32 (/.f32 (/.f32 (fma.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) (.f32 #s(literal -1/2 binary32) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) maxCos)))) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 ux (sqrt.f32 #s(literal -1 binary32)))) maxCos)))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (neg.f32 (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32) (neg.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) maxCos))) (*.f32 maxCos maxCos))
(- (* -1 (/ (- (* -1 (/ (* ux (- 2 ux)) maxCos)) (* -1 (* ux (+ 2 (* -2 ux))))) maxCos)) (pow ux 2))
(-.f32 (neg.f32 (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos)) (.f32 ux ux))
(* -1 (* maxCos (* ux (sqrt -1))))
(.f32 (.f32 (neg.f32 ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* maxCos (+ (* -1 (/ (- 1 ux) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(*.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* maxCos (* ux (sqrt -1))))) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 ux maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))) (* ux (sqrt -1))))) maxCos)) (/ 1 (sqrt -1))) (/ ux (sqrt -1))) maxCos)) (* ux (sqrt -1)))))
(.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) ux (neg.f32 (/.f32 (fma.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos) #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32)))) maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (/ 1 maxCos)) maxCos))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos)))))
(.f32 (.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos))) (neg.f32 maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (- 2 ux)) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (-.f32 (neg.f32 (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos))

rewrite204.0ms (1.9%)

Memory

-12.4MiB live, 243.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	99	688
0	165	499
1	670	472
0	5058	472

Stop Event

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

Counts

29 → 807

Calls

Call 1

Inputs
(sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))))
#s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))
(.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
(*.f32 (PI.f32) (PI.f32))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))
(*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux))

Outputs
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))) (-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))))))
(-.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32))))))
(fma.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32))))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32))))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 1 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 (PI.f32) (*.f32 uy #s(literal -2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))) (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))
(cos.f32 (neg.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32)))))
(cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))
(cos.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))
(.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))
(/.f32 (.f32 (-.f32 (.f32 #s(literal 4 binary32) (.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (.f32 maxCos #s(literal -2 binary32)) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))
(/.f32 (.f32 (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32))) ux) (fma.f32 #s(literal 4 binary32) (.f32 maxCos maxCos) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 maxCos #s(literal -2 binary32))))))
(/.f32 (.f32 ux (-.f32 (.f32 #s(literal 4 binary32) (.f32 maxCos maxCos)) (pow.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32)))) (-.f32 (.f32 maxCos #s(literal -2 binary32)) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))
(/.f32 (.f32 ux (fma.f32 #s(literal -8 binary32) (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 3 binary32)))) (fma.f32 #s(literal 4 binary32) (.f32 maxCos maxCos) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 maxCos #s(literal -2 binary32))))))
(/.f32 (-.f32 (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) #s(literal 2 binary32)) (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(/.f32 (-.f32 (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (fma.f32 (pow.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (.f32 ux ux) (.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux))))
(/.f32 (neg.f32 (+.f32 (neg.f32 (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) #s(literal 3 binary32))) (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (-.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) #s(literal 2 binary32))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)))
(/.f32 (+.f32 (neg.f32 (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) #s(literal 3 binary32))) (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (fma.f32 (pow.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (.f32 ux ux) (-.f32 (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (.f32 (.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) ux) (.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
(/.f32 (+.f32 (neg.f32 (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux) #s(literal 3 binary32))) (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (-.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) (pow.f32 (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux))) (/.f32 (pow.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) #s(literal 2 binary32)) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux))))
(-.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (.f32 (neg.f32 ux) (*.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(-.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux))
(-.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (*.f32 (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) ux))
(-.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)) (*.f32 (neg.f32 ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(fma.f32 (neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux (.f32 (*.f32 maxCos #s(literal -2 binary32)) ux))
(fma.f32 (.f32 maxCos #s(literal -2 binary32)) ux (.f32 (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)))
(fma.f32 (.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (neg.f32 ux) ux) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(fma.f32 ux (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (.f32 ux (*.f32 maxCos #s(literal -2 binary32))))
(fma.f32 ux (.f32 maxCos #s(literal -2 binary32)) (.f32 ux (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))
(fma.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 ux)))
(fma.f32 ux (.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))
(+.f32 (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux) (.f32 (.f32 maxCos #s(literal -2 binary32)) ux))
(+.f32 (.f32 (.f32 maxCos #s(literal -2 binary32)) ux) (.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))
(+.f32 (.f32 ux (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (.f32 ux (.f32 maxCos #s(literal -2 binary32))))
(+.f32 (.f32 ux (.f32 maxCos #s(literal -2 binary32))) (.f32 ux (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))))
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(+.f32 (.f32 ux ux) (.f32 (/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) maxCos) ux))

eval184.0ms (1.7%)

Memory: 21.8MiB live, 294.1MiB allocated; 37ms collecting garbage
Compiler: Compiled 97 546 to 6 119 computations (93.7% saved)

prune165.0ms (1.6%)

Memory

15.5MiB live, 254.9MiB allocated; 15ms collecting garbage

Pruning

69 alts after pruning (67 fresh and 2 done)

	Pruned	Kept	Total
New	1 173	22	1 195
Fresh	10	45	55
Picked	4	1	5
Done	0	1	1
Total	1 187	69	1 256

Accuracy

99.9%

Counts

1 256 → 69

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.1%	(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (+.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	60.1%	(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))))) #s(literal 2 binary32))
	60.0%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	98.8%	(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	95.5%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal 2 binary32) ux))))))
	98.8%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
	95.5%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	96.7%	(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (exp.f32 (.f32 (log.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) #s(literal 1/2 binary32))))
	60.1%	(.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	99.1%	(.f32 (sin.f32 (+.f32 (/.f32 (pow.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))) (/.f32 (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	53.8%	(.f32 (sin.f32 (acos.f32 #s(approx (+ ( maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
	99.2%	(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.1%	(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.1%	(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	98.9%	(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	60.1%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	74.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	98.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
	95.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	54.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
	50.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 #s(approx (+ ( (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (.f32 maxCos maxCos))))))
	50.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux))))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 ux (.f32 ux maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 ux maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
	53.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	55.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	53.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	53.1%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	41.2%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	20.3%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	55.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	88.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	54.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	54.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	20.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
	55.4%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	20.8%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
	26.1%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
	88.7%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux)))))
	88.9%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
✓	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal -1 binary32)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	68.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	53.4%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	68.5%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	4.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	4.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
✓	4.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	4.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	4.6%	(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	74.5%	#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	88.9%	#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	74.5%	#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	56.7%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 uy uy))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	88.8%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	54.7%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	54.8%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
	42.3%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32)))))))
	85.7%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 #s(approx (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
	53.7%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	48.1%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 ux ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	52.6%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
	68.6%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	80.8%	#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))))

Compiler

Compiled 10 745 to 3 095 computations (71.2% saved)

regimes350.0ms (3.3%)

Memory

-26.0MiB live, 684.0MiB allocated; 73ms collecting garbage

Counts

125 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
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(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
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(.f32 (sin.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux)) (.f32 ux ux))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 uy uy))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 uy uy))) #s(literal 2/3 binary32) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos))) (.f32 maxCos maxCos)))))
(.f32 (sin.f32 (/.f32 (-.f32 (pow.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32))) (-.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) #s(literal -2 binary32) #s(literal -1 binary32)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32)))) (.f32 uy uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (exp.f32 (.f32 (log.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))) #s(literal 1/2 binary32))))
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
(/.f32 (+.f32 (sin.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32)))) (sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (+.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (+.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (pow.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)) #s(literal 1/4 binary32)) (pow.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 maxCos #s(literal -2 binary32) (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)) #s(literal 1/4 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (.f32 (-.f32 (pow.f32 (.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal 2 binary32))) ux) (-.f32 (.f32 #s(literal -2 binary32) maxCos) (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))))) (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)))) (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) uy))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 (sin.f32 (+.f32 (/.f32 (pow.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))) (/.f32 (pow.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 4 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (-.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))))))))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) (.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))))))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))

Outputs

(*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (*.f32 (neg.f32 (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))

Calls

11 calls:

36.0ms	(*.f32 uy #s(literal 2 binary32))
36.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
35.0ms	maxCos
34.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
31.0ms	ux

Results

Accuracy	Segments	Branch
99.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
99.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
99.3%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
99.3%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
99.3%	1	`(*.f32 uy #s(literal 2 binary32))`
99.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
99.3%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
99.3%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
99.3%	1	`ux`
99.3%	1	`uy`
99.3%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes298.0ms (2.8%)

Memory

42.5MiB live, 427.5MiB allocated; 82ms collecting garbage

Counts

99 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 #s(literal -2 binary32) uy)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) #s(literal -2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux))))))
(.f32 (sin.f32 (acos.f32 #s(approx (+ ( maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))

Outputs

(*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))

Calls

11 calls:

47.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
36.0ms	maxCos
27.0ms	ux
24.0ms	(*.f32 uy #s(literal 2 binary32))
24.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
99.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
99.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
99.3%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
99.3%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
99.3%	1	`(*.f32 uy #s(literal 2 binary32))`
99.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
99.3%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
99.3%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
99.3%	1	`ux`
99.3%	1	`uy`
99.3%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes331.0ms (3.1%)

Memory

8.1MiB live, 336.5MiB allocated; 27ms collecting garbage

Counts

96 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
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(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 #s(approx (+ ( (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 (sin.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 #s(approx (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ ( 2 maxCos) -2) ux)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))))))
(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (.f32 maxCos ux)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 #s(literal -2 binary32) uy)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) #s(literal -2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux))))))
(.f32 (sin.f32 (acos.f32 #s(approx (+ ( maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))

Outputs

(*.f32 (sin.f32 #s(approx (+ (* (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (*.f32 (PI.f32) uy) #s(literal -2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))

Calls

11 calls:

54.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
44.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
38.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
33.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
27.0ms	ux

Results

Accuracy	Segments	Branch
99.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
99.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
99.2%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
99.2%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
99.2%	1	`(*.f32 uy #s(literal 2 binary32))`
99.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
99.2%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
99.2%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
99.2%	1	`ux`
99.2%	1	`uy`
99.2%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes310.0ms (2.9%)

Memory

5.5MiB live, 476.2MiB allocated; 47ms collecting garbage

Counts

94 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal 2 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 #s(approx (+ ( (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos))) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 (sin.f32 (fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 #s(approx (+ (+ (/ (/ 1 ux) ux) (pow (- maxCos 1) 2)) (/ (+ ( 2 maxCos) -2) ux)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))))))
(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (fma.f32 (/.f32 (PI.f32) uy) #s(literal 1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (fma.f32 (.f32 #s(literal 2/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 2/3 binary32)) uy) uy (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32))) (.f32 uy uy) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)) maxCos))) (*.f32 maxCos maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (.f32 maxCos ux)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 #s(literal -2 binary32) uy)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) #s(literal -2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux))))))
(.f32 (sin.f32 (acos.f32 #s(approx (+ ( maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))

Outputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))

Calls

11 calls:

50.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
26.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
26.0ms	maxCos
25.0ms	ux
24.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))

Results

Accuracy	Segments	Branch
99.0%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
99.0%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
99.0%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
99.0%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
99.0%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
99.0%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
99.0%	1	`ux`
99.0%	1	`maxCos`
99.0%	1	`(*.f32 uy #s(literal 2 binary32))`
99.0%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
99.0%	1	`uy`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes294.0ms (2.8%)

Memory

-31.2MiB live, 491.9MiB allocated; 36ms collecting garbage

Counts

93 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (/.f32 ux maxCos) (neg.f32 (.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))) (*.f32 maxCos maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (/.f32 (-.f32 (pow.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 #s(literal -2 binary32) uy)) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) #s(literal -2 binary32)) #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (+.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 uy uy)) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) #s(literal -1/2 binary32))) (.f32 ux ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) #s(approx (* (+ (* (/ (- 2 ux) maxCos) (/ ux maxCos)) (neg (* ux (+ (/ (+ (* -2 ux) 2) maxCos) ux)))) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) ux (-.f32 (/.f32 #s(literal 2 binary32) (*.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))) ux))))))
(.f32 (sin.f32 (acos.f32 #s(approx (+ ( maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 (*.f32 uy uy) #s(literal -2 binary32)) #s(literal 1 binary32))))

Outputs

(*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))

Calls

11 calls:

53.0ms	(*.f32 uy #s(literal 2 binary32))
34.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
25.0ms	ux
25.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
24.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
98.8%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
98.8%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
98.8%	1	`ux`
98.8%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
98.8%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
98.8%	1	`(*.f32 uy #s(literal 2 binary32))`
98.8%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.8%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.8%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
98.8%	1	`uy`
98.8%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes278.0ms (2.6%)

Memory

21.9MiB live, 478.7MiB allocated; 116ms collecting garbage

Counts

70 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 ux (.f32 ux maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 ux maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 ux ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 #s(approx (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal 2 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sin.f32 #s(approx (+ ( (neg uy) (* (PI) 2)) (/ (PI) 2)) (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))

Outputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (*.f32 (-.f32 #s(literal 2 binary32) ux) ux) (*.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))

Calls

11 calls:

46.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
34.0ms	(*.f32 uy #s(literal 2 binary32))
25.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
25.0ms	ux
23.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Results

Accuracy	Segments	Branch
98.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
98.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
98.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
98.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
98.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
98.6%	1	`(*.f32 uy #s(literal 2 binary32))`
98.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.6%	1	`ux`
98.6%	1	`uy`
98.6%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes222.0ms (2.1%)

Memory

26.3MiB live, 354.5MiB allocated; 28ms collecting garbage

Counts

63 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 #s(approx (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal 2 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))

Outputs

(*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (fma.f32 (neg.f32 ux) ux (*.f32 #s(literal 2 binary32) ux))))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))

Calls

11 calls:

46.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
28.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
18.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
17.0ms	(*.f32 uy #s(literal 2 binary32))
17.0ms	ux

Results

Accuracy	Segments	Branch
95.5%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
95.5%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
95.5%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
95.5%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
98.7%	2	`(*.f32 uy #s(literal 2 binary32))`
98.7%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
95.5%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
95.5%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
95.5%	1	`ux`
98.7%	2	`uy`
98.8%	2	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes250.0ms (2.4%)

Memory

-44.9MiB live, 33.1MiB allocated; 613ms collecting garbage

Counts

60 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 ux (.f32 ux maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 ux maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 ux ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 #s(approx (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (fma.f32 (neg.f32 uy) (.f32 (PI.f32) #s(literal 2 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 (sin.f32 (fma.f32 (*.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))

Calls

1 calls:

247.0ms

maxCos

Results

Accuracy	Segments	Branch
98.8%	2	`maxCos`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes265.0ms (2.5%)

Memory

1.5MiB live, 244.0MiB allocated; 43ms collecting garbage

Counts

56 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
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(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 #s(approx (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (+ (* (neg uy) (* (PI) 2)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal -2 binary32) uy #s(literal 1/2 binary32)))) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))))
#s(approx (* (sin (+ (* (* -2 uy) (PI)) (/ (PI) 2))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))

Outputs

(*.f32 (cos.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))

Calls

11 calls:

65.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
38.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
37.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
21.0ms	ux
19.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
95.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
95.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
95.3%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
95.3%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
95.3%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
95.3%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
95.3%	1	`ux`
98.4%	2	`(*.f32 uy #s(literal 2 binary32))`
98.4%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.4%	2	`uy`
98.5%	2	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes155.0ms (1.5%)

Memory

7.8MiB live, 338.5MiB allocated; 36ms collecting garbage

Counts

50 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 #s(approx (+ (* maxCos ux) (- 1 ux)) (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 2 binary32)) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos))) (.f32 ux ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (+.f32 ux #s(literal 1 binary32)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 ux maxCos)) (-.f32 ux (.f32 ux maxCos)))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 ux maxCos)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (.f32 ux ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (fma.f32 #s(literal -1 binary32) (+.f32 maxCos (/.f32 (-.f32 (-.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) #s(literal 1 binary32)) (.f32 ux ux)))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 #s(approx (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux)) (.f32 (-.f32 (fma.f32 #s(literal -1 binary32) (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 maxCos ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux)))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (fma.f32 (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (-.f32 (-.f32 #s(literal 2 binary32) (*.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))

Calls

11 calls:

16.0ms	uy
16.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
16.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
15.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
14.0ms	ux

Results

Accuracy	Segments	Branch
88.9%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
88.9%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
88.9%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
88.9%	1	`ux`
88.9%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
88.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
88.9%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
88.9%	1	`(*.f32 uy #s(literal 2 binary32))`
88.9%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
88.9%	1	`uy`
88.9%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes76.0ms (0.7%)

Memory

17.6MiB live, 155.8MiB allocated; 9ms collecting garbage

Counts

25 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) #s(approx (+ (* (* (* (* uy uy) -2) (* (PI) (PI))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (sqrt (- 1 (+ (* (* (- (+ (* maxCos ux) 1) ux) ux) maxCos) (* (- (+ (* maxCos ux) 1) ux) (- 1 ux)))))) (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))) #s(literal -2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (*.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))

Calls

11 calls:

9.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
8.0ms	(*.f32 uy #s(literal 2 binary32))
7.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
7.0ms	maxCos
7.0ms	ux

Results

Accuracy	Segments	Branch
83.0%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
83.0%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
68.6%	1	`(*.f32 uy #s(literal 2 binary32))`
68.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
68.6%	1	`uy`
83.0%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
83.0%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
68.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
83.0%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
83.0%	2	`ux`
68.6%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes69.0ms (0.6%)

Memory

4.5MiB live, 58.1MiB allocated; 45ms collecting garbage

Counts

22 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))

Calls

6 calls:

39.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
6.0ms	ux
6.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
6.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Results

Accuracy	Segments	Branch
82.9%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
82.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
82.9%	2	`ux`

Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes30.0ms (0.3%)

Memory

-5.9MiB live, 42.9MiB allocated; 4ms collecting garbage

Counts

20 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))))))

Calls

5 calls:

7.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
5.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms	ux
5.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))

Results

Accuracy	Segments	Branch
82.9%	2	`ux`
82.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes37.0ms (0.4%)

Memory

-1.1MiB live, 86.4MiB allocated; 8ms collecting garbage

Counts

19 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (fma.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -2 binary32) (/.f32 #s(literal 1 binary32) (.f32 uy uy))) (.f32 uy uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))

Calls

6 calls:

10.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
6.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
5.0ms	ux
5.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Results

Accuracy	Segments	Branch
82.9%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
82.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
82.9%	2	`ux`

Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes31.0ms (0.3%)

Memory

3.4MiB live, 51.2MiB allocated; 10ms collecting garbage

Counts

16 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))

Calls

5 calls:

13.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms	ux
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
4.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Results

Accuracy	Segments	Branch
82.9%	2	`ux`
82.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes29.0ms (0.3%)

Memory

7.2MiB live, 52.9MiB allocated; 5ms collecting garbage

Counts

15 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

6 calls:

8.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
4.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
4.0ms	ux
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Results

Accuracy	Segments	Branch
82.9%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
82.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
82.9%	2	`ux`

Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes28.0ms (0.3%)

Memory

5.9MiB live, 51.3MiB allocated; 5ms collecting garbage

Counts

14 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 maxCos ux))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

6 calls:

8.0ms	ux
4.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
4.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))

Results

Accuracy	Segments	Branch
82.1%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
82.1%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.1%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
82.1%	2	`ux`
82.1%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.1%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes22.0ms (0.2%)

Memory

-9.4MiB live, 35.3MiB allocated; 6ms collecting garbage

Counts

12 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))

Calls

5 calls:

8.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	ux
3.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
3.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Results

Accuracy	Segments	Branch
82.1%	2	`ux`
82.1%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.1%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.1%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
82.1%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes20.0ms (0.2%)

Memory

24.5MiB live, 24.5MiB allocated; 0ms collecting garbage

Counts

11 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))

Outputs

#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

6 calls:

3.0ms	ux
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
3.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))

Results

Accuracy	Segments	Branch
80.6%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
80.7%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
80.7%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
80.7%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
80.7%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
80.7%	2	`ux`

Compiler

Compiled 83 to 53 computations (36.1% saved)

regimes18.0ms (0.2%)

Memory

-25.1MiB live, 28.5MiB allocated; 6ms collecting garbage

Counts

9 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))

Outputs

#s(approx (* (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (*.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux))))))

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

5 calls:

6.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	ux
3.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
3.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Results

Accuracy	Segments	Branch
80.7%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
80.7%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
80.7%	2	`ux`
80.7%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
80.7%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes46.0ms (0.4%)

Memory

22.8MiB live, 68.8MiB allocated; 4ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

11 calls:

7.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
5.0ms	maxCos
5.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
5.0ms	uy
5.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
68.6%	1	`(*.f32 uy #s(literal 2 binary32))`
68.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
68.6%	1	`uy`
68.6%	1	`maxCos`
68.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
68.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
68.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
68.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
68.6%	1	`ux`
68.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
68.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes35.0ms (0.3%)

Memory

-34.9MiB live, 54.5MiB allocated; 12ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (*.f32 (*.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

11 calls:

7.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
6.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms	maxCos
2.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
68.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
68.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
68.6%	1	`ux`
68.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
68.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
68.6%	1	`(*.f32 uy #s(literal 2 binary32))`
68.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
68.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
68.6%	1	`uy`
68.6%	1	`maxCos`
68.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes22.0ms (0.2%)

Memory

42.8MiB live, 42.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (PI.f32) (.f32 uy #s(literal -2 binary32))) (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) uy) (.f32 uy #s(literal -2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 #s(approx (cos (* (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (*.f32 (*.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

11 calls:

2.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms	maxCos
2.0ms	uy
2.0ms	(*.f32 uy #s(literal 2 binary32))
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
4.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
4.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
4.6%	1	`(*.f32 uy #s(literal 2 binary32))`
4.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
4.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
4.6%	1	`uy`
4.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
4.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
4.6%	1	`ux`
4.6%	1	`maxCos`
4.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.986141670495272e-6	7.39761026125052e-6

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch5.0ms (0%)

Memory

-52.4MiB live, 1.0MiB allocated; 8ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
4.0ms	6.986141670495272e-6	7.39761026125052e-6

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.986141670495272e-6	7.39761026125052e-6

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0001022982396534644	0.0001625604199944064

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014294220134615898	0.01803007908165455

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014294220134615898	0.01803007908165455

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0206656064838171	0.02217651717364788

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0206656064838171	0.02217651717364788

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999674916267395	0.99979567527771

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999674916267395	0.99979567527771

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.014294220134615898	0.01803007908165455

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9995030760765076	0.9995082020759583

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9995030760765076	0.9995082020759583

Compiler

Compiled 28 to 21 computations (25% saved)

simplify71.0ms (0.7%)

Memory

20.6MiB live, 65.4MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	214	1843
1	392	1842
2	830	1842
3	2371	1842
4	6708	1842

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (-.f32 (.f32 (-.f32 #s(literal 2 binary32) ux) ux) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux) maxCos))))))
(if (<=.f32 maxCos #s(literal 15393163/2199023255552 binary32)) (.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (+ (* (+ (* maxCos -2) 2) ux) (* (neg (* (pow (- maxCos 1) 2) ux)) ux)) (fma.f32 (neg.f32 ux) ux (.f32 #s(literal 2 binary32) ux)))))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
(if (<=.f32 maxCos #s(literal 15393163/2199023255552 binary32)) (.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (-.f32 #s(literal 2 binary32) ux) ux))))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
(if (<=.f32 maxCos #s(literal 15393163/2199023255552 binary32)) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (+ (* -2 maxCos) (- 2 (* (pow (- maxCos 1) 2) ux))) ux) (.f32 (-.f32 #s(literal 2 binary32) ux) ux))))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux))))
(if (<=.f32 ux #s(literal 5153961/34359738368 binary32)) (.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(approx (- 1 ( (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 1476395/67108864 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (*.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 1476395/67108864 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 16772183/16777216 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 16772183/16777216 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 uy uy)) #s(literal -2 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 16106127/1073741824 binary32)) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (cos (* (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 16768911/16777216 binary32)) #s(approx ( (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))) (.f32 #s(approx (cos ( (* uy 2) (PI))) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32))) (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 16768911/16777216 binary32)) #s(approx ( (cos (* (* uy 2) (PI))) (sqrt (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux)))))) (.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (PI.f32)) (PI.f32) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) (fma.f32 (.f32 (.f32 uy uy) #s(literal -2 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (neg.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 ux)) ux)))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 (fma.f32 (.f32 #s(literal -2 binary32) uy) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 (sin.f32 #s(approx (+ ( (* -2 uy) (PI)) (/ (PI) 2)) (fma.f32 (.f32 (PI.f32) uy) #s(literal -2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
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(.f32 #s(approx (cos ( (* uy 2) (PI))) #s(approx (+ (* (* (* uy uy) -2) (* (PI) (PI))) 1) (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (.f32 (.f32 (PI.f32) uy) uy)))) (sqrt.f32 #s(approx (- (- 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

derivations617.0ms (5.8%)

Memory

-16.8MiB live, 555.7MiB allocated; 76ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 2 073 to 210 computations (89.9% saved)

preprocess93.0ms (0.9%)

Memory: 32.5MiB live, 173.7MiB allocated; 15ms collecting garbage
Remove: (abs uy)
Compiler: Compiled 5 256 to 1 052 computations (80% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze253.0ms (2.4%)

sample1.9s (18.2%)

explain238.0ms (2.3%)

preprocess242.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify195.0ms (1.8%)

localize63.0ms (0.6%)

series22.0ms (0.2%)

simplify214.0ms (2%)

rewrite68.0ms (0.6%)

eval30.0ms (0.3%)

prune56.0ms (0.5%)

simplify129.0ms (1.2%)

localize181.0ms (1.7%)

series54.0ms (0.5%)

simplify211.0ms (2%)

rewrite169.0ms (1.6%)

eval114.0ms (1.1%)

prune113.0ms (1.1%)

simplify163.0ms (1.5%)

localize209.0ms (2%)

series82.0ms (0.8%)

simplify265.0ms (2.5%)

rewrite117.0ms (1.1%)

eval115.0ms (1.1%)

prune76.0ms (0.7%)

simplify161.0ms (1.5%)

localize265.0ms (2.5%)

series56.0ms (0.5%)

simplify212.0ms (2%)

rewrite204.0ms (1.9%)

eval184.0ms (1.7%)

prune165.0ms (1.6%)

regimes350.0ms (3.3%)

regimes298.0ms (2.8%)

regimes331.0ms (3.1%)

regimes310.0ms (2.9%)

regimes294.0ms (2.8%)

regimes278.0ms (2.6%)

regimes222.0ms (2.1%)

regimes250.0ms (2.4%)

regimes265.0ms (2.5%)

regimes155.0ms (1.5%)

regimes76.0ms (0.7%)

regimes69.0ms (0.6%)

regimes30.0ms (0.3%)

regimes37.0ms (0.4%)

regimes31.0ms (0.3%)

regimes29.0ms (0.3%)

regimes28.0ms (0.3%)

regimes22.0ms (0.2%)

regimes20.0ms (0.2%)

regimes18.0ms (0.2%)

regimes46.0ms (0.4%)

regimes35.0ms (0.3%)

regimes22.0ms (0.2%)

bsearch1.0ms (0%)

bsearch5.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify71.0ms (0.7%)

derivations617.0ms (5.8%)

preprocess93.0ms (0.9%)

end0.0ms (0%)

Profiling