Metrics for UniformSampleCone, y

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze244.0ms (2%)

Memory

40.5MiB live, 274.5MiB allocated

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)

sample2.0s (16.2%)

Memory

100.2MiB live, 2 056.6MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-<=: 381.0ms (32.4% of total)

ival-mult: 199.0ms (16.9% of total)

ival-sinu: 196.0ms (16.7% of total)

const: 169.0ms (14.4% of total)

ival-sub: 83.0ms (7.1% of total)

ival-sqrt: 61.0ms (5.2% of total)

ival-add: 43.0ms (3.7% of total)

ival-and: 31.0ms (2.6% of total)

exact: 10.0ms (0.9% of total)

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

Bogosity

explain227.0ms (1.9%)

Memory

-61.5MiB live, 322.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
185	4	(0.003327986691147089 2.981810709457022e-8 6.359819297642822e-25)	4	(0.005580011289566755 0.011083877645432949 1.5596107966533136e-25)	`(-.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	-	`#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 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
0	0	-	0	-	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
0	0	-	0	-	`(.f32 (sin.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	-	`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	185	20

Confusion

	Predicted +	Predicted -
+	181	5
-	4	66

Precision

0.9783783783783784

Recall

0.9731182795698925

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	181	5	0
-	4	15	51

Precision?

0.9073170731707317

Recall?

1.0

Freqs

test

number	freq
0	71
1	185

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

103.0ms	506×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-sqrt: 49.0ms (56.9% of total)

ival-mult: 15.0ms (17.4% of total)

ival-sinu: 9.0ms (10.4% of total)

ival-sub: 7.0ms (8.1% of total)

ival-add: 3.0ms (3.5% of total)

ival-pi: 2.0ms (2.3% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess284.0ms (2.3%)

Memory

32.5MiB live, 211.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	238
1	213	230
2	764	229
3	2640	229
4	6541	225
0	16	25
0	27	25
1	54	25
2	142	25
3	453	25
4	1311	25
5	3196	25
6	7349	25
0	8044	22

Stop Event

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

Calls

Call 1

Inputs

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

Symmetry

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(.f32 (sin.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

▶

61.0%

(*.f32 (sin.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)

simplify193.0ms (1.6%)

Memory

-2.4MiB live, 187.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.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	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))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	108
0	27	108
1	54	108
2	142	108
3	453	108
4	1311	108
5	3196	108
6	7349	108
0	8044	96

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sin.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))))))
(sin.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 (sin.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 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.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 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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 (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

localize39.0ms (0.3%)

Memory

16.3MiB live, 61.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.359375	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	0.40625	(.f32 (sin.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	12.408326942903008	(-.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

27.0ms	253×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 7.0ms (38.2% of total)

ival-sinu: 4.0ms (21.8% of total)

ival-sub: 2.0ms (10.9% of total)

ival-sqrt: 2.0ms (10.9% of total)

ival-pi: 1.0ms (5.5% of total)

ival-add: 1.0ms (5.5% 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)

series71.0ms (0.6%)

Memory

-29.2MiB live, 29.7MiB allocated

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 (sin.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))))))
(sin.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)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 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)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (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 (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 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
53.0ms	uy	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms	uy	@	inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms	ux	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* 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)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* 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)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify233.0ms (1.9%)

Memory

-7.0MiB live, 220.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	2265
1	1472	2148
2	6557	2130
0	8189	2026

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)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 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)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (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 (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 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)))) (sin (* 2 (* uy (PI)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (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))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) 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) (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 (* (sin (* 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))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 1/16 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))
(* (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 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal -1 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) 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))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(.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 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (.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 5 binary32)) #s(literal 4/15 binary32)) uy) uy (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (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) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(.f32 (fma.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 3 binary32)) #s(literal -4/3 binary32)) uy) uy (.f32 (PI.f32) #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 -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))))) uy)
(* 2 (* uy (PI)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(* (sin (* 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)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)
(* (sin (* 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)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) maxCos)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (*.f32 maxCos ux))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.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))) 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)) 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))

rewrite222.0ms (1.8%)

Memory

43.4MiB live, 266.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	27	54
1	110	54
2	908	54
0	8392	50

Stop Event

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

Counts

6 → 434

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 (sin.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))))))
(sin.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) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (-.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 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (-.f32 #s(literal 1 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 4 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.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 #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 (/.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 (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) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.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 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #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 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #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)))
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(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (neg.f32 ux) maxCos)))
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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)))
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(fma.f32 (.f32 maxCos 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 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 (-.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 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 (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 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(pow.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (.f32 (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (.f32 (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (.f32 (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))
(fabs.f32 (neg.f32 (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 (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux))
(+.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))
(+.f32 (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (neg.f32 ux) maxCos)) (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(+.f32 (neg.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (.f32 (*.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (neg.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (*.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (.f32 (*.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (/.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (.f32 (.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 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (.f32 (.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 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (.f32 (*.f32 (-.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 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.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 (pow.f32 (exp.f32 (PI.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)))
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 #s(literal 2 binary32) uy) (.f32 (sinh.f32 (log.f32 (PI.f32))) (*.f32 #s(literal 2 binary32) uy)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 (.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32))) (.f32 (*.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(+.f32 (.f32 (cosh.f32 (log.f32 (PI.f32))) (.f32 #s(literal 2 binary32) uy)) (.f32 (sinh.f32 (log.f32 (PI.f32))) (.f32 #s(literal 2 binary32) uy)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))

eval455.0ms (3.7%)

Memory: 8.6MiB live, 156.1MiB allocated
Compiler: Compiled 32 574 to 3 359 computations (89.7% saved)

prune125.0ms (1%)

Memory

-27.8MiB live, 126.9MiB allocated

Pruning

38 alts after pruning (38 fresh and 0 done)

	Pruned	Kept	Total
New	572	38	610
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	573	38	611

Accuracy

86.5%

Counts

611 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.5%	(/.f32 (-.f32 (cos.f32 (-.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
	4.4%	(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	13.7%	(/.f32 (-.f32 (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -2 binary32) (.f32 uy (PI.f32)))))) #s(literal 2 binary32))
	14.0%	(/.f32 (-.f32 (cos.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
▶	8.8%	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	61.1%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (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))))))
	23.4%	(.f32 (sin.f32 (fma.f32 uy (PI.f32) (.f32 uy (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))))))
	60.8%	(.f32 (sin.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.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))))))
	60.9%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) 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))))))
	60.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.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))))))
	60.8%	(.f32 (sin.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))))))
	16.9%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.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))))
	11.0%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
	25.6%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) #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)))))
	9.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32))) (fma.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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) 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)))))))
	21.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (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))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.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))))))
	20.2%	(.f32 (sin.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 #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))))))
▶	61.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	21.2%	(.f32 (sin.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	59.3%	(.f32 (sin.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))))))
▶	61.8%	(.f32 (sin.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))))))
	60.8%	(.f32 (sin.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))))))
	27.0%	(.f32 (sin.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)) #s(literal 1 binary32))))))
▶	25.6%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
	12.0%	(.f32 (sin.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 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	18.0%	(.f32 (sin.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 (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))))))
	18.0%	(.f32 (sin.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 (fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	18.6%	(.f32 (sin.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 (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))))))
	21.3%	(.f32 (sin.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)))))
	33.2%	(.f32 (sin.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))))
	3.7%	(.f32 (sin.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 (.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)))))
	20.4%	(.f32 (sin.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)))))
	17.2%	(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
	44.0%	(.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) 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))))))
▶	52.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))))
	51.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (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 2 594 to 1 566 computations (39.6% saved)

simplify242.0ms (2%)

Memory

51.9MiB live, 317.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
cost-diff	0	(+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	0	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #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	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
cost-diff	1	(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
cost-diff	1	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	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))))
cost-diff	0	(.f32 (sin.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))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.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))))
cost-diff	3	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	651
0	102	623
1	172	621
2	319	611
3	814	611
4	2140	606
5	5382	606
0	8311	596

Stop Event

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

Calls

Call 1

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

Outputs
(.f32 (sin.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 (sqrt.f32 (fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(-.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))))
(fma.f32 (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
#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 (+ (- 1 ux) ( ux maxCos)) (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
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
#s(approx (sin (* (* uy 2) (PI))) (.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 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
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)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) 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 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.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 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #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 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(sin.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) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)))))
(-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (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 4 binary32))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
#s(literal 4 binary32)
(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
(/.f32 (+.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (-.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
(+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(+.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (-.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(PI.f32)
(*.f32 #s(literal 2 binary32) uy)
#s(literal 2 binary32)
uy
(asin.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)
(sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (PI.f32) uy)

localize198.0ms (1.6%)

Memory

-42.2MiB live, 295.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.5767692567029838	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	4.13116163568676	(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	17.212649052265146	(+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
accuracy	28.417667962824975	(fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.40625	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))))
accuracy	0.7030604005061232	(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))
accuracy	28.812369810962892	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.359375	(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
accuracy	0.40625	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
accuracy	0.359375	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.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	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.359375	(.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)))
accuracy	0.40625	(.f32 (sin.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))))))
accuracy	12.408326942903008	(-.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))))

Samples

107.0ms	236×	0	valid
32.0ms	20×	1	valid

Compiler

Compiled 611 to 49 computations (92% saved)

Precisions

Click to see histograms. Total time spent on operations: 114.0ms

ival-mult: 40.0ms (34.9% of total)

ival-sub: 17.0ms (14.8% of total)

ival-sin: 17.0ms (14.8% of total)

ival-div: 11.0ms (9.6% of total)

ival-sqrt: 7.0ms (6.1% of total)

ival-add: 7.0ms (6.1% of total)

ival-sinu: 5.0ms (4.4% of total)

ival-asin: 4.0ms (3.5% of total)

ival-pow: 3.0ms (2.6% of total)

adjust: 2.0ms (1.7% of total)

ival-pi: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series51.0ms (0.4%)

Memory

40.5MiB live, 85.4MiB allocated

Counts

26 → 184

Calls

Call 1

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

Outputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* 1/2 (+ (sin (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux))))))
(+ (sin (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux)))))
(sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux))))
(- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(+ 1 (* ux (- (* 4 maxCos) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)))) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) 4)))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(asin (- (+ 1 (* maxCos ux)) ux))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -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 ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* (pow ux 4) (pow (- maxCos 1) 4))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))
(* (pow ux 4) (- (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4))))) (* 4 (/ 1 (pow ux 3)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* 1/2 (+ (sin (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux))))))))
(+ (sin (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))))))
(sin (- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux))))))
(- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(* (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)))
(* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4))
(* (pow ux 4) (+ (* -2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -4 maxCos)) ux)) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))
(asin (+ 1 (+ (* -1 ux) (* maxCos ux))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* 2 uy)
(* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux))
(+ (* 1/2 (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))) (* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)))
(+ (* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)) (* uy (+ (* 1/2 (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux)))))) (* 1/2 (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))))))
(+ (* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)) (* uy (+ (* 1/2 (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))) (* uy (+ (* 1/2 (* uy (+ (* -4/3 (* (pow (PI) 3) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -4/3 (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))) (* 1/2 (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux))))))))))
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (+ (* maxCos ux) (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))) ux)
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (+ (* maxCos ux) (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux))))))))))) ux)
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (+ (* maxCos ux) (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (+ (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux))) (* uy (+ (* -4/3 (* (pow (PI) 3) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -4/3 (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))))))))) ux)
(sin (neg (asin (- (+ 1 (* maxCos ux)) ux))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* 2 (* uy (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -4/3 (* uy (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))))
(* -1 (asin (- (+ 1 (* maxCos ux)) ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* uy (+ (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))
(* -1 (* uy (+ (* -2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy))))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 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))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(pow (- 1 ux) 4)
(+ (* 4 (* maxCos (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* maxCos (* (pow ux 3) (- 1 ux)))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))))) (pow (- 1 ux) 4))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -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 (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (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) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 4) (pow ux 4))
(* (pow maxCos 4) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) 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 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) maxCos))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (/ (* ux (pow (- 1 ux) 3)) maxCos)))) maxCos))) maxCos)) (pow ux 4)))

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	uy	@	inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))))) (* (* uy 2) (PI)) (* uy 2) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* maxCos ux) (- 1 ux)) (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))) (pow (+ (* maxCos ux) (- 1 ux)) 4) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
7.0ms	ux	@	inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))))) (* (* uy 2) (PI)) (* uy 2) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* maxCos ux) (- 1 ux)) (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))) (pow (+ (* maxCos ux) (- 1 ux)) 4) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
5.0ms	ux	@	0	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))))) (* (* uy 2) (PI)) (* uy 2) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* maxCos ux) (- 1 ux)) (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))) (pow (+ (* maxCos ux) (- 1 ux)) 4) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
5.0ms	maxCos	@	inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))))) (* (* uy 2) (PI)) (* uy 2) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* maxCos ux) (- 1 ux)) (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))) (pow (+ (* maxCos ux) (- 1 ux)) 4) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
5.0ms	maxCos	@	-inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))))) (* (* uy 2) (PI)) (* uy 2) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* maxCos ux) (- 1 ux)) (- 1 (sqrt (pow (+ (* maxCos ux) (- 1 ux)) 4))) (pow (+ (* maxCos ux) (- 1 ux)) 4) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))

simplify287.0ms (2.4%)

Memory

-15.7MiB live, 324.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	929	5658
1	3326	5359
0	8144	5057

Stop Event

1×	iter limit
1×	node limit

Counts

184 → 184

Calls

Call 1

Inputs
1
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* 1/2 (+ (sin (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux))))))
(+ (sin (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux)))))
(sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux))))
(- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(+ 1 (* ux (- (* 4 maxCos) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)))) 4)))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) 4)))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(asin (- (+ 1 (* maxCos ux)) ux))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -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 ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* (pow ux 4) (pow (- maxCos 1) 4))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))
(* (pow ux 4) (- (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4))))) (* 4 (/ 1 (pow ux 3)))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* 1/2 (+ (sin (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux))))))))
(+ (sin (+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))))))
(sin (- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux))))))
(- (* 2 (* uy (PI))) (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(* (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)))
(* (pow ux 4) (pow (+ 1 (* -1 maxCos)) 4))
(* (pow ux 4) (+ (* -2 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2)) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(* (pow ux 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 4 (* -4 maxCos)) ux)) (+ (* 2 (pow (+ 1 (* -1 maxCos)) 2)) (pow (+ 2 (* -2 maxCos)) 2))) ux)) (* 2 (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -2 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 4)))
(+ (asin (+ 1 (+ (* -1 ux) (* maxCos ux)))) (* 2 (* uy (PI))))
(asin (+ 1 (+ (* -1 ux) (* maxCos ux))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* 2 uy)
(* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux))
(+ (* 1/2 (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))) (* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)))
(+ (* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)) (* uy (+ (* 1/2 (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux)))))) (* 1/2 (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))))))
(+ (* 1/2 (- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)) (* uy (+ (* 1/2 (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))) (* uy (+ (* 1/2 (* uy (+ (* -4/3 (* (pow (PI) 3) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -4/3 (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))) (* 1/2 (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux))))))))))
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* maxCos ux))) ux)
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (+ (* maxCos ux) (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))) ux)
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (+ (* maxCos ux) (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux))))))))))) ux)
(- (+ 1 (+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (+ (* maxCos ux) (* uy (+ (* 2 (* (PI) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (+ (* -2 (* (pow (PI) 2) (- (+ 1 (* maxCos ux)) ux))) (* uy (+ (* -4/3 (* (pow (PI) 3) (cos (asin (- (+ 1 (* maxCos ux)) ux))))) (* -4/3 (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))))))))) ux)
(sin (neg (asin (- (+ 1 (* maxCos ux)) ux))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* 2 (* uy (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -4/3 (* uy (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))))
(* -1 (asin (- (+ 1 (* maxCos ux)) ux)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* uy (+ (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))
(* -1 (* uy (+ (* -2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy))))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 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)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 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))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(pow (- 1 ux) 4)
(+ (* 4 (* maxCos (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* maxCos (* (pow ux 3) (- 1 ux)))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))))) (pow (- 1 ux) 4))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -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 (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (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) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 4) (pow ux 4))
(* (pow maxCos 4) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) 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 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) maxCos))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (/ (* ux (pow (- 1 ux) 3)) maxCos)))) maxCos))) maxCos)) (pow ux 4)))

Outputs
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 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(*.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(.f32 (sin.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)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (sin.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 (sin.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)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (sin.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)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (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 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (.f32 (sin.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))))
(* 2 (* ux (- 1 maxCos)))
(.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux)
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) #s(literal -1/2 binary32)))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (sqrt.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) #s(literal -1/8 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) #s(literal -1/16 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(* 1/2 (+ (sin (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux))))))
(.f32 (+.f32 (sin.f32 (-.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) #s(literal 1/2 binary32))
(+ (sin (+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux)))))
(+.f32 (sin.f32 (-.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) (sin.f32 (fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(sin (- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux))))
(sin.f32 (-.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(- (* 2 (* uy (PI))) (asin (- (+ 1 (* maxCos ux)) ux)))
(-.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(fma.f32 (*.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 4 maxCos) 4)))
(fma.f32 (-.f32 (*.f32 #s(literal 4 binary32) maxCos) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2)))) 4)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) ux (.f32 #s(literal 4 binary32) maxCos)) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 4 maxCos) (* ux (+ (* 2 (* ux (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)))) (+ (* 2 (pow (- maxCos 1) 2)) (pow (- (* 2 maxCos) 2) 2))))) 4)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) (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))) (pow.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) ux (.f32 #s(literal 4 binary32) maxCos)) #s(literal 4 binary32)) ux #s(literal 1 binary32))
(+ (asin (- (+ 1 (* maxCos ux)) ux)) (* 2 (* uy (PI))))
(fma.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32) (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(asin (- (+ 1 (* maxCos ux)) ux))
(asin.f32 (-.f32 (fma.f32 maxCos ux #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)
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (sin.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 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 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))
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux)
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 ux ux)) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux)
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 ux ux)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) 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))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(.f32 (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (*.f32 ux ux))
(* (pow ux 4) (pow (- maxCos 1) 4))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (pow (- maxCos 1) 4)))
(.f32 (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) (*.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4)))))
(.f32 (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (+.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ (* 2 (/ (* (pow (- maxCos 1) 2) (- (* 2 maxCos) 2)) ux)) (+ (* 2 (/ (pow (- maxCos 1) 2) (pow ux 2))) (+ (* 4 (/ maxCos (pow ux 3))) (+ (/ (pow (- (* 2 maxCos) 2) 2) (pow ux 2)) (pow (- maxCos 1) 4))))) (* 4 (/ 1 (pow ux 3)))))
(.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) #s(literal 4 binary32) (+.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal 2 binary32) (pow.f32 (-.f32 (.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (/.f32 #s(literal 4 binary32) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 ux #s(literal 4 binary32)))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #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 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (PI.f32) uy) #s(literal 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))))
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)))
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(fma.f32 (.f32 (.f32 (PI.f32) uy) (cos.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal 2 binary32) (sin.f32 (neg.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))))))
(fma.f32 (.f32 #s(literal -2 binary32) (-.f32 (.f32 (.f32 uy (.f32 (PI.f32) (PI.f32))) (sin.f32 (neg.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (*.f32 (cos.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (PI.f32)))) uy (sin.f32 (neg.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(+ (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))) (* uy (+ (* 2 (* (PI) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- (+ 1 (* maxCos ux)) ux)))))) (* -4/3 (* uy (* (pow (PI) 3) (cos (neg (asin (- (+ 1 (* maxCos ux)) ux))))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) uy) (.f32 (cos.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (pow.f32 (PI.f32) #s(literal 3 binary32))) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (sin.f32 (neg.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))) uy (.f32 (cos.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy (sin.f32 (neg.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(* -1 (asin (- (+ 1 (* maxCos ux)) ux)))
(neg.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(* (sin (* 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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* uy (+ (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)) (* 2 (PI))))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (/.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (neg.f32 uy))) uy)
(* uy (+ (* 2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))
(*.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (/.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) uy)) uy)
(* -1 (* uy (+ (* -2 (PI)) (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy))))
(*.f32 (neg.f32 uy) (fma.f32 #s(literal -2 binary32) (PI.f32) (/.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) uy)))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- (+ 1 (* maxCos ux)) ux)) uy)))))
(*.f32 (neg.f32 uy) (fma.f32 #s(literal -2 binary32) (PI.f32) (/.f32 (asin.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (neg.f32 uy))))
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) 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 (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)))
(- 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)))) (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 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.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)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.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 (sin.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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(- 1 (pow (- ux 1) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (.f32 ux ux) (.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- ux 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 maxCos ux) (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux))) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.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 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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)))
(pow (- ux 1) 2)
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(fma.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow (- 1 ux) 4)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(+ (* 4 (* maxCos (* ux (pow (- 1 ux) 3)))) (pow (- 1 ux) 4))
(fma.f32 (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) maxCos) #s(literal 4 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2))))))) (pow (- 1 ux) 4))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 ux ux)) #s(literal 6 binary32)) maxCos (.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 4 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ (* maxCos (+ (* 4 (* ux (pow (- 1 ux) 3))) (* maxCos (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* maxCos (* (pow ux 3) (- 1 ux)))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))))))) (pow (- 1 ux) 4))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 ux ux)) #s(literal 6 binary32))) maxCos (.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) #s(literal 4 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (neg.f32 (.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 #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))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (sin.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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.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))) (fma.f32 (sin.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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (sin.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 #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 (.f32 (PI.f32) uy) #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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos)
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(.f32 (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(.f32 (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 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (sin.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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) 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 #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 (- ux 1)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(* (pow maxCos 4) (pow ux 4))
(*.f32 (pow.f32 maxCos #s(literal 4 binary32)) (pow.f32 ux #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))
(.f32 (fma.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4)))))
(.f32 (fma.f32 (.f32 (/.f32 (.f32 ux ux) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) #s(literal 6 binary32) (fma.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32)))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* 2 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3))) (+ (* 4 (/ (* (pow ux 2) (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 4 (/ (* (pow ux 3) (- 1 ux)) maxCos)) (pow ux 4))))))
(.f32 (fma.f32 (.f32 ux (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 3 binary32))) #s(literal 4 binary32) (fma.f32 (.f32 (/.f32 (.f32 ux ux) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) #s(literal 6 binary32) (fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) #s(literal 4 binary32) (pow.f32 ux #s(literal 4 binary32))))) (pow.f32 maxCos #s(literal 4 binary32)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(* (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 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (sin.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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 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))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) ux))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) 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))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (* (pow ux 2) (pow (- 1 ux) 2)))) maxCos))) maxCos)) (pow ux 4)))
(.f32 (+.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal -4 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 ux ux)) #s(literal 6 binary32)) maxCos)) (neg.f32 maxCos)) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -4 (* (pow ux 3) (- 1 ux))) (* -1 (/ (+ (* 2 (* (pow ux 2) (pow (- 1 ux) 2))) (+ (* 4 (* (pow ux 2) (pow (- 1 ux) 2))) (* 4 (/ (* ux (pow (- 1 ux) 3)) maxCos)))) maxCos))) maxCos)) (pow ux 4)))
(.f32 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal -4 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) ux) (/.f32 (fma.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 ux ux)) #s(literal 6 binary32) (.f32 (/.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux) maxCos) #s(literal 4 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 maxCos #s(literal 4 binary32)))

rewrite179.0ms (1.5%)

Memory

-4.4MiB live, 187.2MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	59	404
0	102	331
1	409	328
2	2933	320
0	8246	320

Stop Event

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

Counts

26 → 954

Calls

Call 1

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

Outputs
(*.f32 (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))) ux)
(*.f32 ux (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 (.f32 ux (/.f32 #s(literal 1 binary32) ux)) (.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (fma.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (fma.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 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)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(.f32 (sqrt.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (pow.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1/2 binary32)) (pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1/4 binary32)) (pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1/4 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1/4 binary32)) (pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1/4 binary32)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (-.f32 (*.f32 ux ux) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (fabs.f32 (+.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)))) (fabs.f32 (fma.f32 ux ux (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))) (fabs.f32 (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fabs.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 maxCos) ux) #s(literal 3 binary32)))) (fabs.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (neg.f32 maxCos) ux))))))
(/.f32 (fabs.f32 (fabs.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))) (fabs.f32 (fabs.f32 (-.f32 (fma.f32 maxCos ux ux) #s(literal 1 binary32)))))
(/.f32 (fabs.f32 (fabs.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (fabs.f32 (fabs.f32 (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
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eval161.0ms (1.3%)

Memory: 2.3MiB live, 229.7MiB allocated
Compiler: Compiled 48 640 to 5 124 computations (89.5% saved)

prune104.0ms (0.9%)

Memory

-41.9MiB live, 163.8MiB allocated

Pruning

50 alts after pruning (49 fresh and 1 done)

	Pruned	Kept	Total
New	985	40	1 025
Fresh	24	9	33
Picked	4	1	5
Done	0	0	0
Total	1 013	50	1 063

Accuracy

97.9%

Counts

1 063 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.3%	(/.f32 (-.f32 (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -2 binary32) (.f32 uy (PI.f32)))))) #s(literal 2 binary32))
	61.1%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	60.8%	(.f32 (sin.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.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))))))
	61.0%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.7%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (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))))))
	61.1%	(.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	60.9%	(.f32 (sin.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 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.7%	(.f32 (sin.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	20.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (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))))
	20.1%	(.f32 (sin.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 #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))))))
▶	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	20.5%	(.f32 (sin.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	60.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	60.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	59.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (+ ( maxCos ux) (- 1 ux)) 4) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))))))
	17.7%	(.f32 (sin.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 (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))))))
	21.3%	(.f32 (sin.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)))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.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)))))
	74.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))
	4.0%	(.f32 (sin.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 (.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)))))
	42.4%	(.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
▶	13.6%	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (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))))
	31.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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)))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.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))))))
▶	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	19.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 1 binary32) ux (-.f32 (.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	19.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	52.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
✓	52.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))))
	50.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (fabs.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
▶	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
	53.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	20.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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 ux (+.f32 maxCos #s(literal -1 binary32))))))))
	50.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)))))))
▶	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	33.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.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))))

Compiler

Compiled 3 429 to 2 273 computations (33.7% saved)

simplify131.0ms (1.1%)

Memory

3.8MiB live, 192.8MiB allocated

Algorithm

1×	egg-herbie

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 (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
cost-diff	1	(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (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))))))
cost-diff	1	(-.f32 #s(literal 1 binary32) (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))))
cost-diff	7	(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)))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.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))))
cost-diff	0	(sqrt.f32 #s(literal 2 binary32))
cost-diff	0	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
cost-diff	0	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	615
0	105	605
1	184	577
2	328	575
3	819	575
4	2129	575
5	5887	575
0	8085	558

Stop Event

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

Calls

Call 1

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

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

localize190.0ms (1.6%)

Memory

3.0MiB live, 187.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.40625	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
accuracy	1.4143823889535947	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
accuracy	12.416741688328557	(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.359375	(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))
accuracy	0.40625	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
accuracy	0.5767692567029838	#s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))
accuracy	0.5648922464789452	(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)))
accuracy	0.5767692567029838	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (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))))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
accuracy	0.5767692567029838	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.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))))
accuracy	0.30078125	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
accuracy	0.328125	(*.f32 (PI.f32) uy)
accuracy	0.34375	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
accuracy	8.110609586465813	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))

Samples

151.0ms	253×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 543 to 48 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 28.0ms (37.7% of total)

ival-sub: 11.0ms (14.8% of total)

ival-sinu: 11.0ms (14.8% of total)

ival-sqrt: 8.0ms (10.8% of total)

ival-sin: 6.0ms (8.1% of total)

ival-add: 4.0ms (5.4% of total)

ival-acos: 4.0ms (5.4% of total)

ival-pi: 1.0ms (1.3% 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)

series57.0ms (0.5%)

Memory

5.7MiB live, 94.3MiB allocated

Counts

25 → 185

Calls

Call 1

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

Outputs
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (sin (acos (- (+ 1 (* maxCos ux)) ux))) (sin (* 2 (* uy (PI)))))
(sin (acos (- (+ 1 (* maxCos ux)) ux)))
(acos (- (+ 1 (* maxCos ux)) ux))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 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))))
(* -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))))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(* -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))))
(* (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 (* (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 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 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)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* (sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux))))) (sin (* 2 (* uy (PI)))))
(sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(acos (+ 1 (+ (* -1 ux) (* maxCos ux))))
(* (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)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* uy (* (PI) (sqrt 2)))))
(* uy (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 5) (sqrt 2))))))))))
(* 2 (* uy (* (PI) (sqrt 2))))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sqrt 2)))) (* 2 (* (PI) (sqrt 2)))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sqrt 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sqrt 2)))) (* 4/15 (* (pow (PI) 5) (sqrt 2)))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (PI))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/8 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/16 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 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 (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (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 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 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 (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))

Calls

9 calls:

Time	Variable		Point	Expression
14.0ms	ux	@	0	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (PI) uy) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (sin (* (* uy 2) (PI))))
8.0ms	ux	@	-inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (PI) uy) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (sin (* (* uy 2) (PI))))
6.0ms	uy	@	-inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (PI) uy) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (sin (* (* uy 2) (PI))))
5.0ms	ux	@	inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (PI) uy) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (sin (* (* uy 2) (PI))))
4.0ms	uy	@	inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (PI) uy) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (sin (* (* uy 2) (PI))))

simplify256.0ms (2.1%)

Memory

-14.4MiB live, 235.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	994	6558
1	3587	6077
0	8401	5788

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 185

Calls

Call 1

Inputs
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
-1
(- (* ux (- 1 maxCos)) 1)
(* (sin (acos (- (+ 1 (* maxCos ux)) ux))) (sin (* 2 (* uy (PI)))))
(sin (acos (- (+ 1 (* maxCos ux)) ux)))
(acos (- (+ 1 (* maxCos ux)) ux))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 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))))
(* -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))))))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(* -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))))
(* (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 (* (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 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 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)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* (sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux))))) (sin (* 2 (* uy (PI)))))
(sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(acos (+ 1 (+ (* -1 ux) (* maxCos ux))))
(* (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)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* uy (* (PI) (sqrt 2)))))
(* uy (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 5) (sqrt 2))))))))))
(* 2 (* uy (* (PI) (sqrt 2))))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sqrt 2)))) (* 2 (* (PI) (sqrt 2)))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sqrt 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sqrt 2)))) (* 4/15 (* (pow (PI) 5) (sqrt 2)))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (PI))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/8 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/16 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 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 ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(- 1 (pow (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 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 (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (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 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 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 (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))

Outputs
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 maxCos ux))))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 maxCos ux))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (sqrt.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) #s(literal -1/8 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 maxCos ux)))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) #s(literal -1/16 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 maxCos 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 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (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)))))
(.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.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 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (/.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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (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 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux (.f32 maxCos #s(literal 2 binary32))) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* ux (- (+ 2 (* -1 (* ux (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* 2 maxCos)))
(.f32 (fma.f32 (neg.f32 ux) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (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 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.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 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(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 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 3 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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 ux ux) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(* (sin (acos (- (+ 1 (* maxCos ux)) ux))) (sin (* 2 (* uy (PI)))))
(.f32 (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(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))
(* 2 (* ux (- 1 maxCos)))
(.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux)
(+ 1 (* -2 (* ux (- 1 maxCos))))
(fma.f32 #s(literal -2 binary32) (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))) ux #s(literal 1 binary32))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux)
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 ux ux)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux)
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 ux ux)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) 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 (/ 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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 ux (sin.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 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* (pow ux 2) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))
(.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux ux))
(* (pow ux 2) (- (+ (* -1 (- maxCos 1)) (+ (* 2 (/ maxCos ux)) (* maxCos (- maxCos 1)))) (* 2 (/ 1 ux))))
(.f32 (-.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.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 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux 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 maxCos #s(literal -1 binary32))))
(* (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 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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 maxCos #s(literal -1 binary32))))) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 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)) (sin.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 maxCos #s(literal -1 binary32))) #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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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 maxCos #s(literal -1 binary32))))) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 5 binary32)))) (.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))))) #s(literal 1/16 binary32) (fma.f32 (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.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 maxCos #s(literal -1 binary32))) #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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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 maxCos #s(literal -1 binary32))))) (.f32 (sqrt.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* ux (- 1 maxCos))
(-.f32 ux (*.f32 maxCos ux))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* -1 (* (pow ux 2) (pow (- 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 (/ (- 1 maxCos) ux)) (pow (- 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 maxCos) 2))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(.f32 (+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (*.f32 ux ux))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.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 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (PI.f32) uy) #s(literal 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))))
(* -1 (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(.f32 (neg.f32 (.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal 2 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 ux (.f32 maxCos ux))))
(* -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))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 maxCos ux (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -2 maxCos)) ux))))))
(.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 (+ (* -1 maxCos) (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux))))))
(.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))
(* -1 (* (pow ux 2) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(.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))) (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(.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))
(* -1 (* (* ux (* (sin (* 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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 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)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (.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)) (sin.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 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 3 binary32)))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.f32 (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (/.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)) (sin.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 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) #s(literal 5 binary32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.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)))) #s(literal 1/16 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* ux (+ 1 (* -1 maxCos)))
(-.f32 ux (*.f32 maxCos ux))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) maxCos)))
(* (sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux))))) (sin (* 2 (* uy (PI)))))
(.f32 (sin.f32 (acos.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin (acos (+ 1 (+ (* -1 ux) (* maxCos ux)))))
(sin.f32 (acos.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))))
(acos (+ 1 (+ (* -1 ux) (* maxCos ux))))
(acos.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)))
(* (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))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (.f32 uy uy) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 uy uy) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* uy (* (PI) (sqrt 2)))))
(.f32 (sqrt.f32 (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32)))
(* uy (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2))))))
(.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 maxCos ux))) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -4/3 binary32) (.f32 (sqrt.f32 (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 (-.f32 ux (.f32 maxCos ux)))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 4/15 binary32) (sqrt.f32 (-.f32 ux (.f32 maxCos ux)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)))) (.f32 uy uy) (.f32 (sqrt.f32 (-.f32 ux (.f32 maxCos ux))) (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 5) (sqrt 2))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (sqrt.f32 (-.f32 ux (.f32 maxCos ux)))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (.f32 #s(literal 4/15 binary32) (sqrt.f32 (-.f32 ux (.f32 maxCos ux)))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 uy uy) (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 (-.f32 ux (.f32 maxCos ux)))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 uy uy) (.f32 (sqrt.f32 (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32)))) uy)
(* 2 (* uy (* (PI) (sqrt 2))))
(.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sqrt 2)))) (* 2 (* (PI) (sqrt 2)))))
(.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sqrt 2))))))))
(.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (*.f32 uy uy))) uy)
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sqrt 2)))) (* 4/15 (* (pow (PI) 5) (sqrt 2)))))))))
(.f32 (fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 uy uy))) (.f32 uy uy))) uy)
(* 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)))) (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(.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) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(.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 4/15 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (.f32 uy uy) (.f32 (.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)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(.f32 (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 -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 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) (.f32 (*.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)))))) uy)
(* 2 (* uy (PI)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 uy uy) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 uy uy) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 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) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (.f32 uy uy) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) (.f32 uy uy) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (.f32 (PI.f32) #s(literal 2 binary32)))) uy)
(* 2 (* uy (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))
(.f32 (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))
(.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 uy uy)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) uy)
(* uy (+ (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sin (acos (- (+ 1 (* maxCos ux)) ux))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 uy uy)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal 4/15 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (.f32 uy uy) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) uy)
(* uy (+ (* 2 (* (PI) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sin (acos (- (+ 1 (* maxCos ux)) ux))))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))) (* 4/15 (* (pow (PI) 5) (sin (acos (- (+ 1 (* maxCos ux)) ux)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 uy uy)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))) #s(literal -8/315 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) (.f32 uy uy) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))) uy)
(* uy (PI))
(*.f32 (PI.f32) uy)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sin (* 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) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 maxCos ux) (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux))) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.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 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(.f32 (sqrt.f32 ux) (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) maxCos) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (fma.f32 (.f32 maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) #s(literal -1/8 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/8 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/16 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (fma.f32 (fma.f32 (.f32 maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) #s(literal -1/16 binary32) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 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 (.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 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)))) (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 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (.f32 (.f32 maxCos ux) (.f32 (sin.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)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.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)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.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 (sin.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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #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 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(- 1 (pow (- ux 1) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (fma.f32 (.f32 (neg.f32 ux) ux) maxCos (.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow (- ux 1) 2)
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(fma.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(.f32 (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(.f32 (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 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (sin.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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (.f32 maxCos ux)))
(* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 ux maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))) maxCos)
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 ux maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))) maxCos)
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(.f32 (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 ux maxCos)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))))) 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 #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))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32) (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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.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))) (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32) (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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (sin.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 #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 (.f32 (PI.f32) uy) #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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) 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 #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))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(.f32 (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (-.f32 (.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(.f32 (neg.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (.f32 maxCos ux)))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 (/.f32 ux maxCos)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 (/.f32 ux maxCos))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))))
(.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32)))))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 (/.f32 ux 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 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (-.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (sin.f32 (fma.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32) (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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 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 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 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 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 (.f32 (PI.f32) uy) #s(literal 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 (/ (+ (* -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))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(*.f32 (fma.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) ux) (neg.f32 maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite229.0ms (1.9%)

Memory

18.7MiB live, 331.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	388
0	105	388
1	347	333
2	2490	331
0	9765	323

Stop Event

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

Counts

25 → 543

Calls

Call 1

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

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

eval129.0ms (1.1%)

Memory: -16.1MiB live, 173.2MiB allocated
Compiler: Compiled 39 714 to 3 986 computations (90% saved)

prune64.0ms (0.5%)

Memory

2.3MiB live, 149.1MiB allocated

Pruning

56 alts after pruning (54 fresh and 2 done)

	Pruned	Kept	Total
New	672	33	705
Fresh	23	21	44
Picked	3	2	5
Done	1	0	1
Total	699	56	755

Accuracy

98.3%

Counts

755 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.7%	(/.f32 (-.f32 (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -2 binary32) (.f32 uy (PI.f32)))))) #s(literal 2 binary32))
▶	59.3%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	60.8%	(.f32 (sin.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.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))))))
	59.2%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.7%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (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))))))
	61.1%	(.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	59.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	60.9%	(.f32 (sin.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 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	59.1%	(.f32 (sin.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 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.7%	(.f32 (sin.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	20.2%	(.f32 (sin.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 #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))))))
✓	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	19.9%	(.f32 (sin.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	59.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	60.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	59.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (+ ( maxCos ux) (- 1 ux)) 4) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))))))
	17.9%	(.f32 (sin.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 (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))))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.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)))))
	74.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))))
	74.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))
	42.4%	(.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	12.6%	(.f32 (sin.f32 (acos.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	28.0%	(.f32 (cos.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	51.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (+.f32 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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (+.f32 ux #s(literal 1 binary32))))))
	32.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux 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 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))))
	52.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 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 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
	26.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	19.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal 1 binary32) ux (-.f32 (.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	52.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
✓	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
▶	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
	53.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	26.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	7.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	51.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	50.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.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))))))
▶	77.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
▶	62.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.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 #s(literal 2 binary32)) ux))))
	74.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
	74.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 maxCos ux)))))
▶	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))))
	64.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	71.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
	33.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))

Compiler

Compiled 4 506 to 2 856 computations (36.6% saved)

simplify158.0ms (1.3%)

Memory

20.1MiB live, 219.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))))
cost-diff	0	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
cost-diff	1	(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
cost-diff	0	(-.f32 #s(literal 1 binary32) maxCos)
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos))
cost-diff	0	(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
cost-diff	0	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.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))))
cost-diff	3	(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
cost-diff	0	(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.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 #s(literal 2 binary32)) ux))))
cost-diff	0	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
cost-diff	4	(-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	845
0	142	819
1	276	819
2	607	819
3	1593	809
4	4166	789
0	8608	739

Stop Event

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

Calls

Call 1

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

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

localize206.0ms (1.7%)

Memory

3.5MiB live, 286.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.359375	(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))
accuracy	0.40625	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
accuracy	0.5767692567029838	#s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))
accuracy	0.30078125	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
accuracy	0.32421875	(.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))))
accuracy	0.328125	(.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))
accuracy	8.110609586465813	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))))
accuracy	0.359375	(.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)))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.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))))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.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 #s(literal 2 binary32)) ux))))
accuracy	2.6353551280596075	(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	8.881339231222181	#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	0.328125	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
accuracy	5.013916298832895	(fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))

Samples

148.0ms	249×	0	valid
5.0ms	7×	1	valid

Compiler

Compiled 644 to 69 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 60.0ms (46.7% of total)

ival-sub: 26.0ms (20.2% of total)

ival-sinu: 12.0ms (9.3% of total)

ival-sqrt: 11.0ms (8.6% of total)

ival-add: 8.0ms (6.2% of total)

ival-div: 5.0ms (3.9% of total)

ival-cosu: 3.0ms (2.3% of total)

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

adjust: 1.0ms (0.8% of total)

exact: 1.0ms (0.8% of total)

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

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

series62.0ms (0.5%)

Memory

-14.5MiB live, 76.0MiB allocated

Counts

28 → 257

Calls

Call 1

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

Outputs
(/ (- 2 (* 2 maxCos)) ux)
(/ (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
-1
(- (* ux (- 1 maxCos)) 1)
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2)))))
(+ (* -1 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))))
(+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* -1/4 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* 2 (/ maxCos ux))
(/ (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* -1 (pow (- maxCos 1) 2))
(- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (+ (* -1 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (+ (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1)))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))))
(pow (- maxCos 1) 2)
(+ (* 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) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 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)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 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 (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* 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)))
(* -1 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* uy (* (PI) (sqrt 2)))))
(* uy (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 5) (sqrt 2))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* uy (PI))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 2 (* (sqrt ux) (* uy (* (PI) (sqrt 2)))))
(* uy (+ (* -4/3 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt ux) (* (PI) (sqrt 2))))))
(* uy (+ (* 2 (* (sqrt ux) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt ux) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(* uy (+ (* 2 (* (sqrt ux) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt ux) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt ux) (* (pow (PI) 5) (sqrt 2))))))))))
(* 2 (* uy (* (PI) (sqrt 2))))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sqrt 2)))) (* 2 (* (PI) (sqrt 2)))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sqrt 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sqrt 2)))) (* 4/15 (* (pow (PI) 5) (sqrt 2)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* (cos (* uy (PI))) (sin (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(- (* 2 (/ 1 ux)) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) 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))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/8 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/16 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ 1 (* -1/2 maxCos))
(+ 1 (* maxCos (- (* -1/8 maxCos) 1/2)))
(+ 1 (* maxCos (- (* maxCos (- (* -1/16 maxCos) 1/8)) 1/2)))
(+ 1 (* -1 maxCos))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* 2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) (* maxCos (+ (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) (* maxCos (+ (* 2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* maxCos (+ (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3)))))))))
(+ 1 (* maxCos (- (* 2 (/ 1 ux)) 2)))
(+ 1 (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)))
2
(+ 2 (* -2 maxCos))
(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 (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* -1 (pow maxCos 2))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux)))))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* (sqrt maxCos) (sqrt -1))
(* maxCos (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))
(* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))
(* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow maxCos 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))))
(* -1 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1))))))
(* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(pow maxCos 2)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 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))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))))
(* -1 (* (sqrt maxCos) (sqrt -1)))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow maxCos 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (sqrt -1))) (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* ux (sqrt -1)))) maxCos))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (+ (* 2 (/ 1 ux)) (/ 1 maxCos))) maxCos))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))

Calls

9 calls:

Time	Variable		Point	Expression
17.0ms	maxCos	@	-inf	((- (/ 2 ux) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (PI) 2) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (sqrt (- 1 maxCos)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI)))))) (sqrt (- 1 maxCos)) (- 1 maxCos) (- (- ux (* maxCos ux)) 1) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (PI)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI))))) (* (sqrt 2) (sin (* (* 2 uy) (PI)))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)))
8.0ms	ux	@	inf	((- (/ 2 ux) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (PI) 2) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (sqrt (- 1 maxCos)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI)))))) (sqrt (- 1 maxCos)) (- 1 maxCos) (- (- ux (* maxCos ux)) 1) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (PI)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI))))) (* (sqrt 2) (sin (* (* 2 uy) (PI)))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)))
5.0ms	ux	@	0	((- (/ 2 ux) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (PI) 2) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (sqrt (- 1 maxCos)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI)))))) (sqrt (- 1 maxCos)) (- 1 maxCos) (- (- ux (* maxCos ux)) 1) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (PI)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI))))) (* (sqrt 2) (sin (* (* 2 uy) (PI)))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)))
5.0ms	ux	@	-inf	((- (/ 2 ux) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (PI) 2) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (sqrt (- 1 maxCos)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI)))))) (sqrt (- 1 maxCos)) (- 1 maxCos) (- (- ux (* maxCos ux)) 1) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (PI)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI))))) (* (sqrt 2) (sin (* (* 2 uy) (PI)))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)))
4.0ms	uy	@	-inf	((- (/ 2 ux) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (PI) 2) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (sqrt (- 1 maxCos)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI)))))) (sqrt (- 1 maxCos)) (- 1 maxCos) (- (- ux (* maxCos ux)) 1) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* 2 uy) (PI)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI))))) (* (sqrt 2) (sin (* (* 2 uy) (PI)))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)))

simplify233.0ms (1.9%)

Memory

25.8MiB live, 202.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1349	8961
1	5013	8881
0	9062	8467

Stop Event

1×	iter limit
1×	node limit

Counts

257 → 257

Calls

Call 1

Inputs
(/ (- 2 (* 2 maxCos)) ux)
(/ (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
-1
(- (* ux (- 1 maxCos)) 1)
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2)))))
(+ (* -1 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))))
(+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* -1/4 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 3)))))))
(+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(* 2 (/ maxCos ux))
(/ (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(* 2 (* ux (- 1 maxCos)))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* -1 (pow (- maxCos 1) 2))
(- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))))
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (- 1 maxCos))
(* ux (- 1 (+ maxCos (/ 1 ux))))
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1))))))
(* ux (+ (* -1 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1)))))))
(* ux (+ (* -1 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (+ (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1)))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))))
(pow (- maxCos 1) 2)
(+ (* 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) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 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)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 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 (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* 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)))
(* -1 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* uy (* (PI) (sqrt 2)))))
(* uy (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 5) (sqrt 2))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* uy (PI))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 2 (* (sqrt ux) (* uy (* (PI) (sqrt 2)))))
(* uy (+ (* -4/3 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt ux) (* (PI) (sqrt 2))))))
(* uy (+ (* 2 (* (sqrt ux) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt ux) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(* uy (+ (* 2 (* (sqrt ux) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt ux) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt ux) (* (pow (PI) 5) (sqrt 2))))))))))
(* 2 (* uy (* (PI) (sqrt 2))))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sqrt 2)))) (* 2 (* (PI) (sqrt 2)))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sqrt 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sqrt 2)))) (* 4/15 (* (pow (PI) 5) (sqrt 2)))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))
(sin (* 2 (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* (cos (* uy (PI))) (sin (* uy (PI))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(- (* 2 (/ 1 ux)) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1)
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) 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))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/8 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/16 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(+ 1 (* -1/2 maxCos))
(+ 1 (* maxCos (- (* -1/8 maxCos) 1/2)))
(+ 1 (* maxCos (- (* maxCos (- (* -1/16 maxCos) 1/8)) 1/2)))
(+ 1 (* -1 maxCos))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(+ (* 2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) (* maxCos (+ (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) (* maxCos (+ (* 2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* maxCos (+ (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3)))))))))
(+ 1 (* maxCos (- (* 2 (/ 1 ux)) 2)))
(+ 1 (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)))
2
(+ 2 (* -2 maxCos))
(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 (- ux 1) 2))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(pow (- ux 1) 2)
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(* -1 (pow maxCos 2))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux)))))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -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 (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* (sqrt maxCos) (sqrt -1))
(* maxCos (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))
(* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))
(* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow maxCos 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))))
(* -1 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1))))))
(* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(pow maxCos 2)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 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))))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))))
(* -1 (* (sqrt maxCos) (sqrt -1)))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow maxCos 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (sqrt -1))) (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* ux (sqrt -1)))) maxCos))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (+ (* 2 (/ 1 ux)) (/ 1 maxCos))) maxCos))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))

Outputs
(/ (- 2 (* 2 maxCos)) ux)
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(/ (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)) ux)
(/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (.f32 #s(literal 2 binary32) maxCos)) ux)
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(.f32 (sin.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)))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sin.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 (sin.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)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))))))
(fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (/.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/2 binary32))) (.f32 ux ux) (.f32 (sin.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)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 2)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))) 3)))))))))
(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 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (fma.f32 (.f32 (.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 3 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) #s(literal -1/8 binary32))) (.f32 ux ux))) (.f32 ux ux) (.f32 (sin.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)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(fma.f32 (.f32 (.f32 (sin.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 (sin.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)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (PI.f32) uy) #s(literal 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 (.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)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (fma.f32 (.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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 ux ux) (.f32 (sin.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 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) maxCos #s(literal 1 binary32))
(* 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 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32)))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(+ (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (sin (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) #s(literal -1/8 binary32))) (.f32 ux ux) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
-1
#s(literal -1 binary32)
(- (* ux (- 1 maxCos)) 1)
(-.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy))))
(+ (* -1 (* (sqrt (* (pow ux 3) (pow (- 1 maxCos) 3))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))))
(fma.f32 (neg.f32 (sqrt.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 3 binary32)))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))))
(+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* -1/4 (* (sqrt (* ux (pow (- 1 maxCos) 5))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 3)))))))
(fma.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))))) (.f32 ux ux) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (.f32 (PI.f32) uy)))))
(+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt 2))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ (pow (- 1 maxCos) 3) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ (pow (- 1 maxCos) 5) (pow ux 3))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/8 (* (sqrt (/ (pow (- 1 maxCos) 7) ux)) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (pow (sqrt 2) 5)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 ux #s(literal 3 binary32))))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 2 binary32)))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 7 binary32)) ux))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32)))))) (.f32 ux ux) (.f32 (neg.f32 (sqrt.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) ux))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32)))))) (.f32 ux ux) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))))
(* 2 (/ maxCos ux))
(*.f32 (/.f32 maxCos ux) #s(literal 2 binary32))
(/ (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) ux)
(/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) ux)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 (-.f32 (*.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 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (*.f32 #s(literal 2 binary32) maxCos)) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))
(.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* 2 (* ux (- 1 maxCos)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))
(* ux (- (* -1 (* ux (pow (- 1 maxCos) 2))) (* -2 (- 1 maxCos))))
(.f32 (fma.f32 (neg.f32 ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))) ux)
(+ 1 (* -2 (* ux (- 1 maxCos))))
(fma.f32 #s(literal -2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 1 binary32))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(fma.f32 (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) maxCos) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux)) ux #s(literal 1 binary32))
(* -1 (pow (- maxCos 1) 2))
(neg.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)))
(-.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)))
(* (* ux (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))
(* ux (+ (* 1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1)))))))
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 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)) (sin.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))) ux)
(* ux (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ (* -1 (- maxCos 1)) (* maxCos (- maxCos 1))))))) (* (* (sin (* 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)) (sin.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 (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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))))) #s(literal 1/16 binary32) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))) ux)
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) ux)
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))))) ux)
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 maxCos #s(literal 1 binary32)))))) ux)
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) maxCos)
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos (/.f32 #s(literal 1 binary32) ux)) ux)
(* -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 (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) ux)
(* ux (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))
(.f32 (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) ux)
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1))))))
(.f32 (fma.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 ux ux)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) #s(literal -1/2 binary32) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) ux)
(* ux (+ (* -1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 1/2 (/ (sin (* 2 (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))) (+ (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- 1 maxCos))) (/ (sin (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 ux ux)) (fma.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (pow.f32 ux #s(literal 3 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (fma.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 (+ maxCos (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))))
(.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (*.f32 (PI.f32) uy))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1))))))
(.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 (PI.f32) uy)) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) ux)
(* ux (+ (* -1 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1)))))))
(.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 ux ux))) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 (PI.f32) uy)) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))))) ux)
(* ux (+ (* -1 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 2) (* (pow (sqrt -1) 3) (- 1 maxCos))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- 1 maxCos))))) (+ (* 2 (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* ux (sqrt -1)))) (/ (* (cos (* uy (PI))) (sin (* uy (PI)))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- 1 maxCos) 2))))))))
(.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 ux ux))) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 (PI.f32) uy)) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (pow.f32 ux #s(literal 3 binary32)))))) ux)
(pow (- maxCos 1) 2)
(pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))
(fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))
(* (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) (pow (- 1 maxCos) 2)))
(.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (- (* 2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux))
(* (pow ux 2) (pow (- 1 maxCos) 2))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (pow (- 1 maxCos) 2)))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- 1 maxCos) ux)) (+ (/ 1 (pow ux 2)) (pow (- 1 maxCos) 2))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal -2 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))) (*.f32 ux ux))
(- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (- maxCos 1) 2))
(-.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)))
(* -1 (* (* ux (* (sin (* 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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))) (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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (sqrt -1))) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* (* (sin (* 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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)))) (.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))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))) (* 1/8 (* (/ (* (sin (* 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)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.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))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)))) (.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)) (sin.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 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)) #s(literal 3 binary32)))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 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 (* (/ (* (sin (* 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 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt -1)) (sqrt (/ 1 (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (+ 1 (+ (* -1 maxCos) (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))))
(.f32 (neg.f32 ux) (fma.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))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)))) (/.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)) (sin.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 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) maxCos maxCos)) #s(literal 1 binary32)) #s(literal 5 binary32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.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)))) #s(literal 1/16 binary32))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (neg.f32 ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.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 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 #s(literal 1/2 binary32) ux) (/.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.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 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 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))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.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)) ux)) #s(literal 1/8 binary32) (.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 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))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (/.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)))) #s(literal 1/16 binary32) (.f32 (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.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))) (neg.f32 ux))) (neg.f32 ux))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(.f32 (neg.f32 maxCos) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) ux))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (neg.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) 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 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 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 (* (sqrt (* ux (- 1 maxCos))) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(.f32 (neg.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (/ 1 ux) (+ 1 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (neg.f32 maxCos)))
(* -2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(.f32 (.f32 #s(literal -2 binary32) ux) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (cos.f32 (*.f32 (PI.f32) uy))))
(* -1 (* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos))))))))
(.f32 (neg.f32 ux) (fma.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1/4 binary32) ux) (/.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) uy))) (cos.f32 (.f32 (PI.f32) uy))) (pow.f32 (*.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3 binary32))))) (neg.f32 ux))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 2 (* -2 maxCos)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* -1 (/ (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 2))) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 2 (* -2 maxCos)) 3))) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux))) ux)) (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))) (/.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))) (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))) (/.f32 (fma.f32 (/.f32 #s(literal 1/8 binary32) ux) (/.f32 (.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 (/.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) uy))) (cos.f32 (.f32 (PI.f32) uy))) (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 -1/4 binary32))) ux))) (neg.f32 ux))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(.f32 (pow.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #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 (fma.f32 #s(literal -1 binary32) 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 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(* -1 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (* (pow (sqrt -1) 2) (sqrt 2)))))
(.f32 (.f32 (sqrt.f32 ux) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (neg.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal -1 binary32))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))
(.f32 (.f32 (.f32 (PI.f32) uy) #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))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))
(.f32 (fma.f32 (.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 (.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 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))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 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 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 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 (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))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (+ (* maxCos (* ux (- (+ 1 (* maxCos ux)) ux))) (* (- 1 ux) (- (+ 1 (* maxCos ux)) ux)))))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 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 (.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 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 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 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 (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))))))) uy)
(* 2 (* uy (PI)))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 uy uy) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 uy uy) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(.f32 (.f32 (*.f32 (PI.f32) uy) #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)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(.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)))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 uy uy))) #s(literal -4/3 binary32) (.f32 (.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)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(.f32 (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)))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 uy uy))) #s(literal 4/15 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 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) (.f32 (*.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)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(.f32 (fma.f32 (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)))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (.f32 (.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 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) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 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) (.f32 (.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)))))) uy)
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (.f32 uy uy))) #s(literal -4/3 binary32) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 uy uy))) #s(literal 4/15 binary32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 uy uy) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 4/15 binary32) (.f32 (.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) (.f32 uy uy) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* 2 (* (sqrt (* ux (- 1 maxCos))) (* uy (* (PI) (sqrt 2)))))
(.f32 (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2))))))
(.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -4/3 binary32) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 4/15 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)))) (.f32 uy uy) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (sqrt (* ux (- 1 maxCos))) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt (* ux (- 1 maxCos))) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt (* ux (- 1 maxCos))) (* (pow (PI) 5) (sqrt 2))))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (.f32 #s(literal 4/15 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 uy uy) (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 uy uy) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))
(.f32 (.f32 #s(literal 2 binary32) (fma.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (PI.f32) (.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (.f32 uy uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 uy uy) (.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))))) (.f32 uy uy) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/240 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32)))) (.f32 uy uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))))))) (.f32 uy uy))) (.f32 uy uy) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))))) uy)
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (.f32 uy uy) (PI.f32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)))) (.f32 uy uy) (*.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 2 binary32) (fma.f32 (fma.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/240 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32)))) (.f32 uy uy) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) #s(literal 2 binary32))) (.f32 uy uy) (.f32 (PI.f32) #s(literal 2 binary32))) uy)
(* uy (PI))
(*.f32 (PI.f32) uy)
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(.f32 (fma.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (*.f32 uy uy) (PI.f32)) uy)
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32) (.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32))) (.f32 uy uy))) (*.f32 uy uy) (PI.f32)) uy)
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(.f32 (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32) (.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/8 binary32) (.f32 (fma.f32 #s(literal -1/144 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/240 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/630 binary32)))) (.f32 uy uy)))) (.f32 uy uy))) (*.f32 uy uy) (PI.f32)) uy)
(* 2 (* (sqrt ux) (* uy (* (PI) (sqrt 2)))))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 ux)) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy))
(* uy (+ (* -4/3 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 3) (sqrt 2))))) (* 2 (* (sqrt ux) (* (PI) (sqrt 2))))))
(.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 ux)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)))) uy)
(* uy (+ (* 2 (* (sqrt ux) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt ux) (* (pow (PI) 3) (sqrt 2)))) (* 4/15 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 5) (sqrt 2)))))))))
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (sqrt.f32 ux)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)) (.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 ux)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))))) (.f32 uy uy))) uy)
(* uy (+ (* 2 (* (sqrt ux) (* (PI) (sqrt 2)))) (* (pow uy 2) (+ (* -4/3 (* (sqrt ux) (* (pow (PI) 3) (sqrt 2)))) (* (pow uy 2) (+ (* -8/315 (* (sqrt ux) (* (pow uy 2) (* (pow (PI) 7) (sqrt 2))))) (* 4/15 (* (sqrt ux) (* (pow (PI) 5) (sqrt 2))))))))))
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) (.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (sqrt.f32 ux)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (sqrt.f32 ux)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal -8/315 binary32) (sqrt.f32 ux)) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 uy uy)))) (.f32 uy uy))) (.f32 uy uy))) uy)
(* 2 (* uy (* (PI) (sqrt 2))))
(.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))
(* uy (+ (* -4/3 (* (pow uy 2) (* (pow (PI) 3) (sqrt 2)))) (* 2 (* (PI) (sqrt 2)))))
(.f32 (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* 4/15 (* (pow uy 2) (* (pow (PI) 5) (sqrt 2))))))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 4/15 binary32) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 uy uy) (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32))) uy)
(* uy (+ (* 2 (* (PI) (sqrt 2))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt 2))) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (* (pow (PI) 7) (sqrt 2)))) (* 4/15 (* (pow (PI) 5) (sqrt 2)))))))))
(.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 uy uy) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) (.f32 uy uy) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) #s(literal 2 binary32))) uy)
(* (sin (* 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))))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
(* (sin (* 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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux (+ 1 (* maxCos ux))) 2)))))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) uy))) (sin.f32 (.f32 (PI.f32) uy)))
(* (cos (* uy (PI))) (sin (* uy (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(- (* 2 (/ 1 ux)) 1)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
(- (+ (* 2 (/ 1 ux)) (* maxCos (- 2 (* 2 (/ 1 ux))))) 1)
(-.f32 (fma.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32))
(- (+ (* 2 (/ 1 ux)) (* maxCos (- (+ 2 (* -1 maxCos)) (* 2 (/ 1 ux))))) 1)
(-.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 2 binary32) ux)) maxCos (/.f32 #s(literal 2 binary32) ux)) #s(literal 1 binary32))
(* (sin (* 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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (neg.f32 (.f32 (.f32 maxCos ux) (.f32 (sin.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)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 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)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (sin.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)) (sin.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)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 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 (* (* (sin (* 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)))))))))) (* (sin (* 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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 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 (.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 (sin.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)))) (sin.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 maxCos ux #s(literal 1 binary32)) 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 (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)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(+ (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))) (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 maxCos ux) (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (.f32 maxCos (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.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 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3))))))) (* (* ux (* (sin (* 2 (* uy (PI)))) (- ux 1))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.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 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (.f32 maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (fma.f32 (.f32 maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) #s(literal -1/8 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ (* maxCos (+ (* -1/2 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* maxCos (+ (* -1/8 (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/16 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (sqrt 2))) (sqrt ux))))))) (* (sqrt ux) (* (sin (* 2 (* uy (PI)))) (sqrt 2))))
(fma.f32 (fma.f32 (fma.f32 (.f32 maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) #s(literal -1/16 binary32) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) maxCos (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))))
(+ 1 (* -1/2 maxCos))
(fma.f32 #s(literal -1/2 binary32) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- (* -1/8 maxCos) 1/2)))
(fma.f32 (-.f32 (*.f32 #s(literal -1/8 binary32) maxCos) #s(literal 1/2 binary32)) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- (* maxCos (- (* -1/16 maxCos) 1/8)) 1/2)))
(fma.f32 (-.f32 (.f32 (-.f32 (.f32 #s(literal -1/16 binary32) maxCos) #s(literal 1/8 binary32)) maxCos) #s(literal 1/2 binary32)) maxCos #s(literal 1 binary32))
(+ 1 (* -1 maxCos))
(fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32))
(- ux 1)
(-.f32 ux #s(literal 1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2)))))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(+ (* 2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))))
(.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) (* maxCos (+ (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* 2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))))))
(fma.f32 (fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))))) (.f32 (.f32 maxCos (cos.f32 (.f32 (PI.f32) uy))) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (PI.f32) uy)))) (.f32 (.f32 ux (.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal 2 binary32))) maxCos (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- ux 1) 2))))) (* maxCos (+ (* 2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* maxCos (+ (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- ux 1) 2)))))) (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (/ (* (pow ux 2) (pow (- ux 1) 2)) (- 1 (pow (- ux 1) 2))) (pow ux 2)) (- ux 1)))))) (sqrt (/ 1 (pow (- 1 (pow (- ux 1) 2)) 3)))))))))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 ux #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) #s(literal 3 binary32)))))) maxCos (.f32 (.f32 ux (.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))))))) #s(literal 2 binary32))) maxCos (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(+ 1 (* maxCos (- (* 2 (/ 1 ux)) 2)))
(fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos #s(literal 1 binary32))
(+ 1 (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)))
(fma.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) maxCos) #s(literal 2 binary32)) maxCos #s(literal 1 binary32))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #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)))
(- 1 (pow (- ux 1) 2))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* 2 (* maxCos (* ux (- ux 1))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* -2 (* ux (- ux 1)))))) (pow (- ux 1) 2))
(-.f32 (fma.f32 (fma.f32 (neg.f32 maxCos) (.f32 ux ux) (.f32 (*.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(pow (- ux 1) 2)
(pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))
(+ (* -2 (* maxCos (* ux (- ux 1)))) (pow (- ux 1) 2))
(fma.f32 (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(+ (* maxCos (+ (* -2 (* ux (- ux 1))) (* maxCos (pow ux 2)))) (pow (- ux 1) 2))
(fma.f32 (fma.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32) (.f32 (*.f32 ux ux) maxCos)) maxCos (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(* -1 (pow maxCos 2))
(*.f32 (neg.f32 maxCos) maxCos)
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 2 (* maxCos ux)))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (- (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux)))) (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))))
(.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux))) (*.f32 maxCos maxCos))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (fma.f32 (sin.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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1))))))
(.f32 (fma.f32 (/.f32 (sin.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) (.f32 maxCos maxCos)) (.f32 (sin.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)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (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)))) (sqrt -1)))))))
(.f32 (fma.f32 (/.f32 (sin.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)) (sin.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 (sin.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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) 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)
(* -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))
(* maxCos (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))
(.f32 (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1)))))))
(.f32 (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 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (sin.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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (.f32 maxCos ux)))
(* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)
(* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (sin (* 2 (* uy (PI)))) (sqrt 2)) (sqrt -1)))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (/.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))))))) maxCos)
(* (sqrt maxCos) (sqrt -1))
(*.f32 (sqrt.f32 maxCos) (sqrt.f32 #s(literal -1 binary32)))
(* maxCos (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))))) #s(literal 1/2 binary32))) maxCos)
(* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))
(.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))))) #s(literal 1/2 binary32)))) maxCos)
(* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow maxCos 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))))
(.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal -1/8 binary32) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 7 binary32))))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))))) #s(literal 1/2 binary32))))) maxCos)
(* -1 maxCos)
(neg.f32 maxCos)
(* maxCos (- (/ 1 maxCos) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (- (/ ux maxCos) (+ ux (/ 1 maxCos))))
(*.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1))))))
(.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos))))) maxCos)
(* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 maxCos maxCos)))) maxCos)
(* maxCos (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(.f32 (fma.f32 (neg.f32 (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (pow.f32 maxCos #s(literal 3 binary32)))) (.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (.f32 ux ux)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (fma.f32 #s(literal 2 binary32) (fma.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos)))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 maxCos maxCos))))) maxCos)
(pow maxCos 2)
(*.f32 maxCos maxCos)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* 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 maxCos maxCos))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux)))) (* 2 (/ 1 maxCos))))
(.f32 (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos)) (*.f32 maxCos maxCos))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 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))
(* (pow maxCos 2) (- (* 2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal 2 binary32)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2)))))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- ux 1)) maxCos)) (+ (/ (pow (- ux 1) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) maxCos) #s(literal -2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* 2 (/ 1 ux)) 2) maxCos)) 1))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos)) #s(literal 1 binary32)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (/ 1 ux)) 1) maxCos)) (* 2 (/ 1 ux))) 2) maxCos)) 1))
(.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)) #s(literal 2 binary32)) (neg.f32 maxCos)) #s(literal 1 binary32)) (.f32 maxCos maxCos))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (sin.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)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 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 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.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 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (sin.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))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (neg.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)))
(* (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 (+ (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))) (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (* maxCos (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32) (PI.f32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- ux 1)) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2)))) (* ux (sqrt -1))))) maxCos))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (sin.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))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) #s(literal 1/2 binary32))) maxCos))) (neg.f32 maxCos))))
(* -1 (* (sqrt (* maxCos ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(.f32 (neg.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))) (sqrt.f32 (.f32 maxCos ux)))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32)))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 3))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))) (* (sqrt (/ ux maxCos)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal 2 binary32))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal 2 binary32))))))))
(* -1 (* (sqrt maxCos) (sqrt -1)))
(*.f32 (neg.f32 (sqrt.f32 maxCos)) (sqrt.f32 #s(literal -1 binary32)))
(* -1 (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ 1 (pow maxCos 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow maxCos 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow maxCos 3))) (sqrt -1))) (* (sqrt (/ 1 maxCos)) (sqrt -1)))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 5 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/8 binary32) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 7 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/16 binary32) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* maxCos (- 1 (/ 1 maxCos))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)))
(* -1 (* maxCos (- (* -1 (/ (- ux 1) maxCos)) (* -1 ux))))
(.f32 (neg.f32 maxCos) (.f32 #s(literal -1 binary32) (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux)))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy)))) #s(literal -2 binary32))
(* -1 (* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (* maxCos (sqrt -1)))))))
(.f32 (neg.f32 maxCos) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (sqrt -1))) (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy)))) #s(literal 2 binary32) (/.f32 (fma.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) uy))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (*.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -2 binary32))) (neg.f32 maxCos))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux 1))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))) (- ux 1)))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- ux 1) 2) (pow (sqrt -1) 2)) (pow (- ux 1) 2))))) (* ux (sqrt -1)))) maxCos))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (/.f32 (fma.f32 (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -2 binary32) (/.f32 (fma.f32 (neg.f32 (cos.f32 (.f32 (PI.f32) uy))) (.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 ux #s(literal 1 binary32))) (.f32 (.f32 ux ux) maxCos)) (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (+ (* 2 (/ 1 ux)) (/ 1 maxCos))) maxCos))))
(.f32 (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) #s(literal -1 binary32) #s(literal 1 binary32)) (.f32 maxCos maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) 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 (fma.f32 (.f32 #s(literal -2 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- ux 1) 2)) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos) #s(literal -1 binary32) (.f32 (.f32 (-.f32 ux #s(literal 1 binary32)) ux) #s(literal -2 binary32))) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (-.f32 ux #s(literal 1 binary32)) (/.f32 (pow.f32 (-.f32 ux #s(literal 1 binary32)) #s(literal 2 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) (*.f32 maxCos maxCos))

rewrite240.0ms (2%)

Memory

18.0MiB live, 213.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	488
0	142	443
1	524	436
2	3989	436
0	8490	417

Stop Event

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

Counts

28 → 349

Calls

Call 1

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

Outputs
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 4 binary32) (.f32 ux ux)) (pow.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 2 binary32)))) (neg.f32 (+.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (*.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 8 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (+.f32 (fma.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal 2 binary32) ux)) (/.f32 #s(literal 4 binary32) (.f32 ux ux)))))
(/.f32 (-.f32 (.f32 #s(literal -2 binary32) (-.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (.f32 (neg.f32 ux) (-.f32 (pow.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32))))) (.f32 (neg.f32 ux) (-.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 #s(literal -2 binary32) (fma.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 2 binary32)))) (.f32 (neg.f32 ux) (fma.f32 (pow.f32 (/.f32 maxCos ux) #s(literal 3 binary32)) #s(literal 8 binary32) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))))) (.f32 (neg.f32 ux) (fma.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (pow.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) #s(literal 2 binary32)))))
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(fma.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))
(+.f32 (.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))
#s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(.f32 (.f32 #s(literal 1 binary32) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))
(.f32 (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))
(.f32 #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))
(.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))) (+.f32 (+.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (.f32 maxCos ux))))
(/.f32 (.f32 #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (-.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (-.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 ux (*.f32 maxCos ux))))

eval114.0ms (0.9%)

Memory: -26.2MiB live, 205.6MiB allocated
Compiler: Compiled 40 518 to 3 636 computations (91% saved)

prune114.0ms (0.9%)

Memory

3.5MiB live, 286.7MiB allocated

Pruning

79 alts after pruning (77 fresh and 2 done)

	Pruned	Kept	Total
New	643	41	684
Fresh	13	36	49
Picked	5	0	5
Done	0	2	2
Total	661	79	740

Accuracy

99.2%

Counts

740 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.3%	(/.f32 (-.f32 (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -2 binary32) (.f32 uy (PI.f32)))))) #s(literal 2 binary32))
	44.9%	(.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))))
	59.1%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	98.2%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
	74.1%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)))))
	51.6%	(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	59.2%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.1%	(.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	59.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	60.9%	(.f32 (sin.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 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	59.1%	(.f32 (sin.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 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.7%	(.f32 (sin.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	19.9%	(.f32 (sin.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 #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))))))
✓	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	19.7%	(.f32 (sin.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	59.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (.f32 (-.f32 (-.f32 (/.f32 ux maxCos) ux) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	60.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- (- ux (* maxCos ux)) 1) (.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) ux)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	59.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (pow (+ ( maxCos ux) (- 1 ux)) 4) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))))))
	19.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.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)))))
	74.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))))
	42.4%	(.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	13.0%	(.f32 (sin.f32 (acos.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	27.4%	(.f32 (cos.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	23.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) uy))) (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))))))
	27.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.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))))
	23.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))) (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))))))
	27.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) uy) (.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))))
	23.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 (PI.f32) uy))) (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))))))
	27.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.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))))
	27.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.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))))
	23.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)) uy)) (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))))))
	27.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.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))))
	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (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))))))
	8.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.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 #s(literal 2 binary32)) ux))))
	62.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (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 #s(literal 2 binary32)) ux))))
	52.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 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 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
	29.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) 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))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	52.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
✓	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))))
	53.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	26.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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(approx (* (+ ux (/ (- 1 ux) maxCos)) maxCos) #s(literal 1 binary32)))))))
	26.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (neg.f32 ux) (-.f32 (fma.f32 #s(literal -1 binary32) maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	26.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	7.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	51.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	50.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.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))))))
	77.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) (.f32 ux ux)))))
	77.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32))) (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (.f32 ux ux)))))
	77.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 2 binary32) (/.f32 maxCos ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux)))))
	81.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal -2 binary32) (/.f32 maxCos ux)))) (.f32 ux ux)))))
	77.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(approx (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) maxCos #s(literal 1 binary32)))) (*.f32 ux ux)))))
	41.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(approx (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1))) (.f32 (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos)) (.f32 maxCos maxCos)))) (.f32 ux ux)))))
	77.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
	34.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux))) (.f32 maxCos maxCos))) (.f32 ux ux)))))
	62.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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))))
	81.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
	64.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux))))
	64.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (+ ( -2 maxCos) 2) (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux))))
	62.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux))))
	69.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
	74.2%	#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) (.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal 2 binary32))) (cos.f32 (*.f32 (PI.f32) uy)))))
	74.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	74.1%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sqrt.f32 #s(literal 2 binary32))) (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 maxCos ux)))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (sqrt.f32 ux) (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))
	64.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) #s(approx (* (sqrt 2) (sin (* (* 2 uy) (PI)))) (.f32 (.f32 (*.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 #s(approx (- 1 maxCos) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)) maxCos))) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))))))
	64.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	71.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
	64.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (* (sqrt (- 1 maxCos)) (* (sqrt ux) (* (sqrt 2) (sin (* (* 2 uy) (PI)))))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (.f32 uy uy)) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sqrt.f32 #s(literal 2 binary32)))) #s(literal -4/3 binary32) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))) #s(literal 2 binary32))) uy)))
	33.6%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))

Compiler

Compiled 9 853 to 3 129 computations (68.2% saved)

regimes468.0ms (3.9%)

Memory

-3.6MiB live, 760.9MiB allocated

Counts

153 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

64.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
58.0ms	(-.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))))
41.0ms	(*.f32 uy #s(literal 2 binary32))
40.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
39.0ms	ux

Results

Accuracy	Segments	Branch
98.2%	1	`ux`
98.2%	1	`uy`
98.2%	1	`maxCos`
98.2%	1	`(.f32 (sin.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))))))`
98.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.2%	1	`(*.f32 uy #s(literal 2 binary32))`
98.2%	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)))))`
98.2%	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))))`
98.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
98.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes424.0ms (3.5%)

Memory

8.4MiB live, 533.1MiB allocated

Counts

132 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

63.0ms	maxCos
50.0ms	(*.f32 uy #s(literal 2 binary32))
40.0ms	(-.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))))
37.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
36.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
93.3%	1	`ux`
93.3%	1	`uy`
93.3%	1	`maxCos`
93.3%	1	`(.f32 (sin.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))))))`
93.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
93.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
93.3%	1	`(*.f32 uy #s(literal 2 binary32))`
93.3%	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)))))`
93.3%	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))))`
93.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
93.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes580.0ms (4.8%)

Memory

-12.0MiB live, 539.2MiB allocated

Counts

97 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (sin.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))))))

Calls

11 calls:

327.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
31.0ms	(.f32 (sin.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	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
26.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
25.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
89.9%	2	`uy`
81.1%	1	`maxCos`
92.0%	3	`(.f32 (sin.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))))))`
89.9%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.9%	2	`(*.f32 uy #s(literal 2 binary32))`
90.6%	2	`ux`
86.9%	2	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
90.6%	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)))))`
90.6%	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))))`
90.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes48.0ms (0.4%)

Memory

-2.7MiB live, 47.3MiB allocated

Counts

91 → 2

Calls

Call 1

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

Outputs

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

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

Calls

1 calls:

44.0ms

ux

Results

Accuracy	Segments	Branch
90.6%	2	`ux`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes24.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Counts

85 → 2

Calls

Call 1

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

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

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

Calls

1 calls:

20.0ms

ux

Results

Accuracy	Segments	Branch
90.6%	2	`ux`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes106.0ms (0.9%)

Memory

-18.8MiB live, 169.9MiB allocated

Counts

82 → 2

Calls

Call 1

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

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

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

Calls

5 calls:

22.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
21.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
21.0ms	ux
20.0ms	(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)))))
18.0ms	(-.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
90.6%	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)))))`
90.6%	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))))`
90.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.6%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes161.0ms (1.3%)

Memory

28.9MiB live, 215.8MiB allocated

Counts

80 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

22.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
21.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
20.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
20.0ms	uy
19.0ms	ux

Results

Accuracy	Segments	Branch
89.9%	2	`uy`
89.9%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.9%	2	`(*.f32 uy #s(literal 2 binary32))`
89.1%	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)))))`
89.1%	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))))`
89.1%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
89.1%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
89.1%	2	`ux`

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes63.0ms (0.5%)

Memory

-31.9MiB live, 104.0MiB allocated

Counts

74 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

19.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
18.0ms	(*.f32 uy #s(literal 2 binary32))
18.0ms	uy

Results

Accuracy	Segments	Branch
89.9%	2	`uy`
89.9%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.9%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes64.0ms (0.5%)

Memory

24.9MiB live, 128.3MiB allocated

Counts

73 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

24.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
20.0ms	uy
17.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
89.8%	2	`uy`
89.8%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.8%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes157.0ms (1.3%)

Memory

22.4MiB live, 205.4MiB allocated

Counts

64 → 2

Calls

Call 1

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

Outputs

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

#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (*.f32 (sin.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))))

Calls

8 calls:

29.0ms	(-.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))))
24.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
21.0ms	(*.f32 uy #s(literal 2 binary32))
20.0ms	uy
16.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
84.5%	2	`ux`
84.5%	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)))))`
84.5%	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))))`
84.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
84.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
89.1%	2	`uy`
89.1%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.1%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes251.0ms (2.1%)

Memory

-38.7MiB live, 295.4MiB allocated

Counts

60 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

51.0ms	(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)))))
27.0ms	maxCos
24.0ms	(.f32 (sin.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))))))
19.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
18.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
81.1%	1	`maxCos`
81.1%	1	`ux`
81.1%	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)))))`
81.1%	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))))`
81.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
81.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
81.1%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
81.1%	1	`(.f32 (sin.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))))))`
81.1%	1	`uy`
81.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
81.1%	1	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes163.0ms (1.3%)

Memory

10.7MiB live, 277.7MiB allocated

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

22.0ms	(.f32 (sin.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))))))
17.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
17.0ms	(-.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 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
14.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
77.9%	1	`uy`
77.9%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
77.9%	1	`(*.f32 uy #s(literal 2 binary32))`
77.9%	1	`ux`
77.9%	1	`(.f32 (sin.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))))))`
77.9%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
77.9%	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)))))`
77.9%	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))))`
77.9%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
77.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
77.9%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes147.0ms (1.2%)

Memory

2.5MiB live, 337.6MiB allocated

Counts

50 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

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))))
15.0ms	ux
14.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
13.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
13.0ms	uy

Results

Accuracy	Segments	Branch
77.9%	1	`(.f32 (sin.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))))))`
77.9%	1	`uy`
77.9%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
77.9%	1	`(*.f32 uy #s(literal 2 binary32))`
77.9%	1	`ux`
77.9%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
77.9%	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)))))`
77.9%	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))))`
77.9%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
77.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
77.9%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes53.0ms (0.4%)

Memory

-14.3MiB live, 127.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
69.0%	2	`(.f32 (sin.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))))))`
75.6%	2	`ux`
64.4%	1	`uy`
64.4%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
64.4%	1	`(*.f32 uy #s(literal 2 binary32))`
75.6%	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)))))`
75.6%	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))))`
64.4%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
64.4%	1	`maxCos`
75.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
75.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes22.0ms (0.2%)

Memory

-1.7MiB live, 48.5MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

5.0ms	(.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
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))))
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
75.5%	2	`ux`
75.5%	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)))))`
75.5%	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))))`
75.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
75.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes19.0ms (0.2%)

Memory

1.6MiB live, 48.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

Calls

5 calls:

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))))
4.0ms	(+.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
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
75.5%	2	`ux`
75.5%	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)))))`
75.5%	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))))`
75.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
75.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes18.0ms (0.1%)

Memory

-4.1MiB live, 43.2MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

5 calls:

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))))
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	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)))))

Results

Accuracy	Segments	Branch
75.4%	2	`ux`
75.4%	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)))))`
75.4%	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))))`
75.4%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
75.4%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes33.0ms (0.3%)

Memory

-25.1MiB live, 73.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

7.0ms	uy
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 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
3.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
64.2%	1	`uy`
64.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
64.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
64.2%	1	`(*.f32 uy #s(literal 2 binary32))`
64.2%	1	`maxCos`
64.2%	1	`(.f32 (sin.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))))))`
64.2%	1	`ux`
64.2%	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)))))`
64.2%	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))))`
64.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
64.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes27.0ms (0.2%)

Memory

16.0MiB live, 61.7MiB allocated

Accuracy

Total -12.4b remaining (-102%)

Threshold costs -12.4b (-102%)

Counts

6 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	(.f32 (sin.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))))))
2.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
62.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
62.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
62.1%	1	`maxCos`
62.1%	1	`ux`
62.1%	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)))))`
62.1%	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))))`
62.1%	1	`uy`
62.1%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
62.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
62.1%	1	`(*.f32 uy #s(literal 2 binary32))`
62.1%	1	`(.f32 (sin.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 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0001173187411040999	0.00011805573012679815

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00011805573012679815	0.00012010423961328343

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00011805573012679815	0.00012010423961328343

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00011805573012679815	0.00012010423961328343

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005047483369708061	0.006667006760835648

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005047483369708061	0.006667006760835648

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005047483369708061	0.006667006760835648

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005047483369708061	0.006667006760835648

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9993706345558167	0.999476432800293

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9993706345558167	0.999476432800293

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9993706345558167	0.999476432800293

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9993706345558167	0.999476432800293

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify67.0ms (0.6%)

Memory

6.0MiB live, 51.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	206	1386
1	356	1386
2	655	1386
3	1446	1385
4	3038	1381
5	6603	1381

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
(if (<=.f32 ux #s(literal 16217797/137438953472 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))))) (.f32 (sin.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)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 6442451/1073741824 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal -2 binary32) (/.f32 maxCos ux)))) (.f32 ux ux))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 maxCos ux))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 6442451/1073741824 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal -2 binary32) (/.f32 maxCos ux)))) (.f32 ux ux))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 6442451/1073741824 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal -2 binary32) (/.f32 maxCos ux)))) (.f32 ux ux))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 6442451/1073741824 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal -2 binary32) (/.f32 maxCos ux)))) (.f32 ux ux))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.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 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))) (.f32 #s(literal -2 binary32) (/.f32 maxCos ux)))) (.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8383575/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8383575/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8383575/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (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 (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8383575/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux))))

Outputs
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* ux (* maxCos (+ (* maxCos ux) (- 1 ux)))) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32))))) (*.f32 ux ux)))))
(if (<=.f32 ux #s(literal 16217797/137438953472 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))))) (.f32 (sin.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)))))))
(if (<=.f32 ux #s(literal 16217797/137438953472 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))))) (.f32 (sin.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)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))))))
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(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux))))

soundness1.7s (13.8%)

Memory

31.2MiB live, 1 170.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1349	8961
1	5013	8881
0	9062	8467
0	86	488
0	142	443
1	524	436
2	3989	436
0	8490	417
0	16	75
0	27	54
1	110	54
2	908	54
0	8392	50
0	64	388
0	105	388
1	347	333
2	2490	331
0	9765	323
0	994	6558
1	3587	6077
0	8401	5788
0	419	2265
1	1472	2148
2	6557	2130
0	8189	2026
0	929	5658
1	3326	5359
0	8144	5057
0	59	404
0	102	331
1	409	328
2	2933	320
0	8246	320

Stop Event

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

Compiler

Compiled 5 124 to 2 188 computations (57.3% saved)

preprocess105.0ms (0.9%)

Memory: -34.6MiB live, 202.0MiB allocated
Remove: (negabs uy)
Compiler: Compiled 3 494 to 812 computations (76.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze244.0ms (2%)

sample2.0s (16.2%)

explain227.0ms (1.9%)

preprocess284.0ms (2.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify193.0ms (1.6%)

localize39.0ms (0.3%)

series71.0ms (0.6%)

simplify233.0ms (1.9%)

rewrite222.0ms (1.8%)

eval455.0ms (3.7%)

prune125.0ms (1%)

simplify242.0ms (2%)

localize198.0ms (1.6%)

series51.0ms (0.4%)

simplify287.0ms (2.4%)

rewrite179.0ms (1.5%)

eval161.0ms (1.3%)

prune104.0ms (0.9%)

simplify131.0ms (1.1%)

localize190.0ms (1.6%)

series57.0ms (0.5%)

simplify256.0ms (2.1%)

rewrite229.0ms (1.9%)

eval129.0ms (1.1%)

prune64.0ms (0.5%)

simplify158.0ms (1.3%)

localize206.0ms (1.7%)

series62.0ms (0.5%)

simplify233.0ms (1.9%)

rewrite240.0ms (2%)

eval114.0ms (0.9%)

prune114.0ms (0.9%)

regimes468.0ms (3.9%)

regimes424.0ms (3.5%)

regimes580.0ms (4.8%)

regimes48.0ms (0.4%)

regimes24.0ms (0.2%)

regimes106.0ms (0.9%)

regimes161.0ms (1.3%)

regimes63.0ms (0.5%)

regimes64.0ms (0.5%)

regimes157.0ms (1.3%)

regimes251.0ms (2.1%)

regimes163.0ms (1.3%)

regimes147.0ms (1.2%)

regimes53.0ms (0.4%)

regimes22.0ms (0.2%)

regimes19.0ms (0.2%)

regimes18.0ms (0.1%)

regimes33.0ms (0.3%)

regimes27.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify67.0ms (0.6%)

soundness1.7s (13.8%)

preprocess105.0ms (0.9%)

end0.0ms (0%)

Profiling