Metrics for UniformSampleCone, y

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze217.0ms (2.1%)

Memory

23.4MiB live, 295.1MiB 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 (19.3%)

Memory

77.0MiB live, 2 149.6MiB allocated

Samples

1.2s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 962.0ms

const: 228.0ms (23.7% of total)

ival-mult: 219.0ms (22.8% of total)

ival-<=: 151.0ms (15.7% of total)

ival-sinu: 143.0ms (14.9% of total)

ival-sub: 76.0ms (7.9% of total)

ival-sqrt: 57.0ms (5.9% of total)

ival-add: 43.0ms (4.5% of total)

ival-and: 33.0ms (3.4% of total)

exact: 11.0ms (1.1% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain213.0ms (2%)

Memory

15.6MiB live, 310.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
198	6	(0.004300903994590044 0.13429494202136993 1.8936531029529224e-31)	4	(0.006316993851214647 7.857335049266112e-8 1.3774520638899545e-37)	`(-.f32 #s(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	200	11

Confusion

	Predicted +	Predicted -
+	195	5
-	5	51

Precision

0.975

Recall

0.975

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	195	5	0
-	5	6	45

Precision?

0.9478672985781991

Recall?

1.0

Freqs

test

number	freq
0	56
1	200

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	506×	0	valid
4.0ms	6×	1	valid

Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 15.0ms (37.8% of total)

ival-sinu: 11.0ms (27.8% of total)

ival-sub: 5.0ms (12.6% of total)

ival-sqrt: 4.0ms (10.1% of total)

ival-add: 3.0ms (7.6% of total)

ival-pi: 2.0ms (5% of total)

exact: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess252.0ms (2.4%)

Memory

-14.3MiB live, 174.8MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.4%	(.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

▶

59.4%

(*.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)

simplify157.0ms (1.5%)

Memory

-3.0MiB live, 153.4MiB 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

localize37.0ms (0.4%)

Memory

38.8MiB live, 76.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.29525375976844204	(.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	0.296875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.4296875	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	12.815142110613417	(-.f32 #s(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

28.0ms	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 (38.5% of total)

ival-sinu: 4.0ms (22% of total)

ival-sub: 2.0ms (11% of total)

ival-sqrt: 2.0ms (11% 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)

series101.0ms (1%)

Memory

-17.4MiB live, 70.8MiB 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
37.0ms	maxCos	@	-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)))
5.0ms	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	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)))

simplify187.0ms (1.8%)

Memory

13.0MiB live, 166.2MiB 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))

rewrite211.0ms (2%)

Memory

19.8MiB live, 240.9MiB 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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(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))))
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(fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
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(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
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(+.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))

eval160.0ms (1.5%)

Memory: -12.1MiB live, 273.3MiB allocated
Compiler: Compiled 32 574 to 3 359 computations (89.7% saved)

prune419.0ms (4%)

Memory

7.5MiB live, 84.9MiB allocated

Pruning

42 alts after pruning (41 fresh and 1 done)

	Pruned	Kept	Total
New	569	41	610
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	569	42	611

Accuracy

84.8%

Counts

611 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.6%	(/.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))
	4.5%	(/.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))
	2.5%	(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (acos.f32 (neg.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 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
	13.8%	(/.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))
	13.5%	(/.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))
	8.5%	(/.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))
▶	12.7%	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.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 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
	59.4%	(.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))))))
	24.0%	(.f32 (sin.f32 (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)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	59.1%	(.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))))))
	59.4%	(.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))))))
	59.4%	(.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))))))
	59.3%	(.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))))))
	13.0%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (exp.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	26.3%	(.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)))))
	21.7%	(.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))))
	29.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.f32 maxCos ux) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (.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 (-.f32 #s(literal 1 binary32) ux) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))))) (.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 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)))))))
	36.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos 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))))))
	59.1%	(.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) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	34.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	46.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (fabs.f32 (+.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32)))))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	59.5%	(.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))))))
	59.5%	(.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))))))
✓	59.4%	(.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))))))
	18.7%	(.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))))))))
	56.7%	(.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)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.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 (+.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))))))
▶	59.2%	(.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)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
	27.3%	(.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)) #s(literal 1 binary32))))))
	25.7%	(.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))))))
	11.5%	(.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))))))
	18.4%	(.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))))))
▶	18.4%	(.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))))))
	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 (+.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))))))
	21.1%	(.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)))))
	30.0%	(.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 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	19.0%	(.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 #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)))))
	17.9%	(.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)))))
	41.6%	(.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))))))
	50.4%	#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 2 857 to 1 740 computations (39.1% saved)

simplify156.0ms (1.5%)

Memory

-5.5MiB live, 197.1MiB 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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.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 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #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) #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))))))
cost-diff	3	(.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))
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) 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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))
cost-diff	3	(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
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	69	926
0	124	883
1	209	883
2	424	863
3	1240	858
4	4017	848
0	8362	829

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

localize199.0ms (1.9%)

Memory

6.8MiB live, 274.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9302234054664451	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	4.407219118850612	(asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	17.974362996047265	(+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.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 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
accuracy	30.18915605034405	(fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
accuracy	0.4041640095411725	(-.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))
accuracy	0.4694137695368841	(.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))
accuracy	0.9465068948443207	(fma.f32 #s(literal 2 binary32) maxCos (/.f32 #s(literal 1 binary32) ux))
accuracy	12.815142110613417	(-.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))))
accuracy	0.296875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.37109375	(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
accuracy	0.4296875	(.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)))
accuracy	12.815142110613417	(-.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))))
accuracy	0.296875	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy	0.4296875	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	5.3900573669658645	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.815142110613417	(-.f32 #s(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	0.296875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.33203125	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
accuracy	0.4296875	(.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	12.815142110613417	(-.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

116.0ms	239×	0	valid
21.0ms	17×	1	valid

Compiler

Compiled 744 to 51 computations (93.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-mult: 36.0ms (32.5% of total)

ival-div: 18.0ms (16.3% of total)

ival-sin: 15.0ms (13.5% of total)

ival-sub: 14.0ms (12.6% of total)

ival-add: 10.0ms (9% of total)

ival-asin: 4.0ms (3.6% of total)

ival-sinu: 4.0ms (3.6% of total)

ival-pow2: 3.0ms (2.7% of total)

adjust: 2.0ms (1.8% of total)

ival-sqrt: 2.0ms (1.8% of total)

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

ival-neg: 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)

series109.0ms (1%)

Memory

-13.9MiB live, 76.6MiB allocated

Counts

28 → 142

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

Calls

9 calls:

Time	Variable		Point	Expression
54.0ms	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) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* 2 maxCos) (/ 1 ux)) (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (asin (neg (+ (* maxCos ux) (- 1 ux)))) (+ (* maxCos ux) (- 1 ux)))
26.0ms	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) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* 2 maxCos) (/ 1 ux)) (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (asin (neg (+ (* maxCos ux) (- 1 ux)))) (+ (* maxCos ux) (- 1 ux)))
5.0ms	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) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* 2 maxCos) (/ 1 ux)) (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (asin (neg (+ (* maxCos ux) (- 1 ux)))) (+ (* 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) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* 2 maxCos) (/ 1 ux)) (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (asin (neg (+ (* maxCos ux) (- 1 ux)))) (+ (* maxCos ux) (- 1 ux)))
4.0ms	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) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (sin (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))))) (sin (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux)))))) (- (* (PI) (* 2 uy)) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* 2 maxCos) (/ 1 ux)) (- (+ (/ (+ (* 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (+ (* (* (PI) uy) 2) (asin (neg (+ (* maxCos ux) (- 1 ux))))) (asin (neg (+ (* maxCos ux) (- 1 ux)))) (+ (* maxCos ux) (- 1 ux)))

simplify239.0ms (2.3%)

Memory

22.3MiB live, 255.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	633	3816
1	2280	3626
0	8802	3409

Stop Event

1×	iter limit
1×	node limit

Counts

142 → 142

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)))))))))
(+ 1 (* maxCos (* ux (- 1 (/ 1 maxCos)))))
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* 1/2 (+ (sin (+ (asin (- ux (+ 1 (* maxCos ux)))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- ux (+ 1 (* maxCos ux))))))))
(+ (sin (+ (asin (- ux (+ 1 (* maxCos ux)))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (- ux (+ 1 (* maxCos ux)))))))
(sin (- (* 2 (* uy (PI))) (asin (- ux (+ 1 (* maxCos ux))))))
(- (* 2 (* uy (PI))) (asin (- ux (+ 1 (* maxCos ux)))))
(/ 1 ux)
(/ (+ 1 (* 2 (* maxCos ux))) ux)
(/ 1 (pow ux 2))
(/ (+ 1 (* ux (- (* 2 maxCos) 2))) (pow ux 2))
(/ (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2))) (pow ux 2))
(+ (asin (- ux (+ 1 (* maxCos ux)))) (* 2 (* uy (PI))))
(asin (- ux (+ 1 (* maxCos 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)))))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* (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))))
(* 2 maxCos)
(+ (* 2 maxCos) (/ 1 ux))
(pow (- maxCos 1) 2)
(- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux)))
(- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux)))
(* -1 (* 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)))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2)))
(* 1/2 (+ (sin (+ (asin (neg (+ 1 (+ (* -1 ux) (* maxCos ux))))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (neg (+ 1 (+ (* -1 ux) (* maxCos ux)))))))))
(+ (sin (+ (asin (neg (+ 1 (+ (* -1 ux) (* maxCos ux))))) (* 2 (* uy (PI))))) (sin (- (* 2 (* uy (PI))) (asin (neg (+ 1 (+ (* -1 ux) (* maxCos ux))))))))
(sin (- (* 2 (* uy (PI))) (asin (neg (+ 1 (+ (* -1 ux) (* maxCos ux)))))))
(- (* 2 (* uy (PI))) (asin (neg (+ 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)))
(+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (- maxCos 1) 2))
(+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (- maxCos 1) 2))
(+ (asin (neg (+ 1 (+ (* -1 ux) (* maxCos ux))))) (* 2 (* uy (PI))))
(asin (neg (+ 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))))))))
(* 1/2 (- (+ ux (sin (neg (asin (- ux (+ 1 (* maxCos ux))))))) (+ 1 (* maxCos ux))))
(+ (* 1/2 (* uy (+ (* 2 (* (PI) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux))))))))))) (* 1/2 (- (+ ux (sin (neg (asin (- ux (+ 1 (* maxCos ux))))))) (+ 1 (* maxCos ux)))))
(+ (* 1/2 (- (+ ux (sin (neg (asin (- ux (+ 1 (* maxCos ux))))))) (+ 1 (* maxCos ux)))) (* uy (+ (* 1/2 (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* -2 (* (pow (PI) 2) (- ux (+ 1 (* maxCos ux)))))))) (* 1/2 (+ (* 2 (* (PI) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))))))))
(+ (* 1/2 (- (+ ux (sin (neg (asin (- ux (+ 1 (* maxCos ux))))))) (+ 1 (* maxCos ux)))) (* uy (+ (* 1/2 (+ (* 2 (* (PI) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))))) (* uy (+ (* 1/2 (* uy (+ (* -4/3 (* (pow (PI) 3) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (* -4/3 (* (pow (PI) 3) (cos (neg (asin (- ux (+ 1 (* maxCos ux))))))))))) (* 1/2 (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* -2 (* (pow (PI) 2) (- ux (+ 1 (* maxCos ux))))))))))))
(- (+ ux (sin (neg (asin (- ux (+ 1 (* maxCos ux))))))) (+ 1 (* maxCos ux)))
(- (+ ux (+ (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))) (* uy (+ (* 2 (* (PI) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))))))) (+ 1 (* maxCos ux)))
(- (+ ux (+ (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))) (* uy (+ (* 2 (* (PI) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (+ (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* -2 (* (pow (PI) 2) (- ux (+ 1 (* maxCos ux)))))))))))) (+ 1 (* maxCos ux)))
(- (+ ux (+ (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))) (* uy (+ (* 2 (* (PI) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (+ (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (+ (* -2 (* (pow (PI) 2) (- ux (+ 1 (* maxCos ux))))) (* uy (+ (* -4/3 (* (pow (PI) 3) (cos (asin (- ux (+ 1 (* maxCos ux))))))) (* -4/3 (* (pow (PI) 3) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))))))))))))) (+ 1 (* maxCos ux)))
(sin (neg (asin (- ux (+ 1 (* maxCos ux))))))
(+ (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))) (* 2 (* uy (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux))))))))))
(+ (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))) (* uy (+ (* -2 (* uy (* (pow (PI) 2) (sin (neg (asin (- ux (+ 1 (* maxCos ux))))))))) (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))))))
(+ (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))) (* uy (+ (* 2 (* (PI) (cos (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* uy (+ (* -2 (* (pow (PI) 2) (sin (neg (asin (- ux (+ 1 (* maxCos ux)))))))) (* -4/3 (* uy (* (pow (PI) 3) (cos (neg (asin (- ux (+ 1 (* maxCos ux))))))))))))))
(* -1 (asin (- ux (+ 1 (* maxCos ux)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(* uy (+ (* -1 (/ (asin (- ux (+ 1 (* maxCos ux)))) uy)) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (/ (asin (- ux (+ 1 (* maxCos ux)))) uy)))
(* -1 (* uy (+ (* -2 (PI)) (/ (asin (- ux (+ 1 (* maxCos ux)))) uy))))
(* -1 (* uy (+ (* -2 (PI)) (* -1 (/ (asin (- ux (+ 1 (* maxCos 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)))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(+ (* maxCos (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)))) (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))))
(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 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (* 2 (/ 1 ux)) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(- (+ 1 (+ (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)) (/ 1 (pow ux 2)))) (* 2 (/ 1 ux)))
(* 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) (pow ux 2))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos) (+ (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 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))))
(* maxCos (+ 2 (/ 1 (* maxCos ux))))
(pow maxCos 2)
(* (pow maxCos 2) (- (+ 1 (/ 2 (* maxCos ux))) (* 2 (/ 1 maxCos))))
(* (pow maxCos 2) (- (+ 1 (+ (/ 1 (* (pow maxCos 2) (pow ux 2))) (+ (/ 1 (pow maxCos 2)) (/ 2 (* maxCos ux))))) (+ (* 2 (/ 1 maxCos)) (* 2 (/ 1 (* (pow maxCos 2) ux))))))
(* -1 (* 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 (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux)))) maxCos)) (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 ux))) maxCos))))
(* (pow maxCos 2) (+ 1 (* -1 (/ (- (+ 2 (* -1 (/ (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))) maxCos))) (* 2 (/ 1 ux))) maxCos))))

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

rewrite192.0ms (1.8%)

Memory

-23.6MiB live, 259.4MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	542
0	124	491
1	474	474
2	3693	466
0	8222	466

Stop Event

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

Counts

28 → 477

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

eval173.0ms (1.7%)

Memory: -34.5MiB live, 190.3MiB allocated
Compiler: Compiled 37 197 to 3 888 computations (89.5% saved)

prune77.0ms (0.7%)

Memory

7.3MiB live, 129.1MiB allocated

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	694	32	726
Fresh	27	9	36
Picked	3	2	5
Done	0	1	1
Total	724	44	768

Accuracy

94.9%

Counts

768 → 44

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.4%	(.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))))))
	59.4%	(.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))))))
▶	60.1%	(.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))))))
	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 #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))))))
	59.3%	(.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))))))
▶	59.9%	(.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 #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))))))
	21.2%	(.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))))
	59.4%	(.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) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
▶	59.5%	(.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))))))
	59.5%	(.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))))))
✓	59.4%	(.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))))))
	56.7%	(.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)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
✓	59.2%	(.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)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
	57.4%	(.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))))))
	56.4%	(.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) ux) maxCos))))))
	59.8%	(.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	58.3%	(.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))))))
	25.7%	(.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))))))
	57.3%	(.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 #s(approx (- (+ (/ (+ ( 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))))))
	25.5%	(.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 #s(approx (- (+ (/ (+ ( 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (.f32 (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 maxCos ux) ux) maxCos))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos))) (.f32 maxCos maxCos))) (.f32 ux ux))))))
	20.0%	(.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 #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)))))
	41.6%	(.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))))))
	42.3%	(.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)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	14.4%	(.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))))
	20.7%	(.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))))
	20.7%	(.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))))
	26.6%	(.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))))
	20.7%	(.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)))))
▶	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) (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))))))
	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) (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))))))
	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) (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (neg.f32 maxCos) ux) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (-.f32 #s(literal 1 binary32) 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) (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))))))
	20.7%	(.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))))))
	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 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	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) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.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 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos 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))))))
✓	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))))))
▶	50.6%	(.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))))))
	52.7%	(.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)) #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))))))))
	20.3%	(.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) maxCos)))))))
	27.9%	#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 3 113 to 2 025 computations (35% saved)

simplify123.0ms (1.2%)

Memory

36.1MiB live, 182.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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)
cost-diff	4	(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (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)) (-.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) (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))))))
cost-diff	1	(-.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))))
cost-diff	7	(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)))
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	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)
cost-diff	6	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	839
0	107	848
1	187	739
2	370	717
3	1032	717
4	2786	707
5	6440	707
0	8030	691

Stop Event

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

Calls

Call 1

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

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

localize197.0ms (1.9%)

Memory

-15.4MiB live, 280.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.334980029305326	(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
accuracy	0.36328125	(.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32)))
accuracy	0.4296875	(.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	12.815142110613417	(-.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	0.29525375976844204	(.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	0.296875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.4296875	(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
accuracy	12.815142110613417	(-.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	0.9027843132042342	(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)))
accuracy	0.9302234054664451	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	5.3900573669658645	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.815142110613417	(-.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))))
accuracy	0.4296875	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.9302234054664451	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	5.3900573669658645	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.815142110613417	(-.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	0.33203125	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
accuracy	0.4296875	(.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	0.533535009768442	(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
accuracy	12.815142110613417	(-.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

127.0ms	252×	0	valid
3.0ms	4×	1	valid

Compiler

Compiled 712 to 51 computations (92.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 105.0ms

ival-sub: 40.0ms (38% of total)

ival-mult: 36.0ms (34.2% of total)

ival-sqrt: 7.0ms (6.6% of total)

ival-sin: 6.0ms (5.7% of total)

ival-add: 5.0ms (4.7% of total)

ival-sinu: 4.0ms (3.8% of total)

ival-pow2: 3.0ms (2.8% of total)

ival-div: 2.0ms (1.9% of total)

ival-cbrt: 2.0ms (1.9% of total)

ival-pi: 1.0ms (0.9% 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)

series74.0ms (0.7%)

Memory

-2.3MiB live, 72.0MiB allocated

Counts

22 → 162

Calls

Call 1

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

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)))))))))
(+ 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)))))))))
(* 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 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* 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)))))))
(* (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)))))))))
(* -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))))
(* -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)))))))
(* (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)))))
(* (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)))
(* 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)))))))))))
(* 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)) (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 (sqrt (PI))))
(* (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 (* maxCos ux))) 2))))
(* 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)))))
(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))
(- 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 (- 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)
(* 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) (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)))))
(* -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) (+ (* -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 (+ (* -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 (/ (+ (* -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)))
(* -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 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))

Calls

9 calls:

Time	Variable		Point	Expression
35.0ms	ux	@	0	((* (pow (cbrt (PI)) 2) (* (cbrt (PI)) (* 2 uy))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 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))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 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))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (* (* 2 uy) (sqrt (PI))))
9.0ms	ux	@	inf	((* (pow (cbrt (PI)) 2) (* (cbrt (PI)) (* 2 uy))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 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))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 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))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (* (* 2 uy) (sqrt (PI))))
4.0ms	maxCos	@	inf	((* (pow (cbrt (PI)) 2) (* (cbrt (PI)) (* 2 uy))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 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))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 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))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (* (* 2 uy) (sqrt (PI))))
3.0ms	ux	@	-inf	((* (pow (cbrt (PI)) 2) (* (cbrt (PI)) (* 2 uy))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 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))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 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))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (* (* 2 uy) (sqrt (PI))))
3.0ms	uy	@	inf	((* (pow (cbrt (PI)) 2) (* (cbrt (PI)) (* 2 uy))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 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))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 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))) (* (* (* 2 uy) (sqrt (PI))) (sqrt (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (* (* 2 uy) (sqrt (PI))))

simplify216.0ms (2.1%)

Memory

-22.4MiB live, 215.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	5394
1	3058	5071
0	8659	4834

Stop Event

1×	iter limit
1×	node limit

Counts

162 → 162

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)))))))))
(+ 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)))))))))
(* 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 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* -2 (* ux (- 1 maxCos))))
(+ 1 (* ux (+ (* -2 (- 1 maxCos)) (* ux (pow (- 1 maxCos) 2)))))
(* 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)))))))
(* (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)))))))))
(* -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))))
(* -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)))))))
(* (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)))))
(* (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)))
(* 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)))))))))))
(* 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)) (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 (sqrt (PI))))
(* (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 (* maxCos ux))) 2))))
(* 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)))))
(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))
(- 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 (- 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)
(* 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) (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)))))
(* -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) (+ (* -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 (+ (* -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 (/ (+ (* -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)))
(* -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 (/ (+ (* -1 (/ (pow (- ux 1) 2) maxCos)) (* 2 (* ux (- ux 1)))) maxCos)) (pow ux 2)))

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

rewrite347.0ms (3.3%)

Memory

16.6MiB live, 410.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	351
0	97	330
1	336	295
2	2467	260
0	10540	259

Stop Event

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

Counts

22 → 1 004

Calls

Call 1

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

Outputs
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) uy))
(.f32 (.f32 (.f32 (.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 uy #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))
(.f32 (.f32 uy (PI.f32)) #s(literal 2 binary32))
(.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (cbrt.f32 (PI.f32))) (*.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) uy)
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) (sqrt.f32 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) uy))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(*.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 (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 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)))
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(.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) uy)
(.f32 (.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(.f32 #s(literal 2 binary32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) uy) (sqrt.f32 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) uy))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) uy) #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))
(.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))
(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(+.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32)))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
(.f32 (.f32 (sqrt.f32 (PI.f32)) uy) #s(literal 2 binary32))
(.f32 (sqrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))
(.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (PI.f32)) uy))
(fma.f32 (sqrt.f32 (PI.f32)) uy (*.f32 (sqrt.f32 (PI.f32)) uy))
(fma.f32 uy (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) uy))
(+.f32 (.f32 (sqrt.f32 (PI.f32)) uy) (.f32 (sqrt.f32 (PI.f32)) uy))

eval171.0ms (1.6%)

Memory: 36.4MiB live, 266.1MiB allocated
Compiler: Compiled 57 983 to 4 894 computations (91.6% saved)

prune66.0ms (0.6%)

Memory

-24.1MiB live, 173.9MiB allocated

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	917	30	947
Fresh	21	15	36
Picked	2	3	5
Done	1	2	3
Total	941	50	991

Accuracy

98.3%

Counts

991 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.4%	(.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))))))
	14.5%	(.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 (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)))))))
	59.4%	(.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))))))
	57.4%	(.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 #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))))))
	18.8%	(.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	19.7%	(.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 #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)))))
	27.3%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (/.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) (.f32 (-.f32 maxCos #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))))))))))
	21.2%	(.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 (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)))))))
	58.8%	(.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (/.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))))))))
	59.4%	(.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 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))
✓	59.9%	(.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 #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))))))
	19.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.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)))))
✓	59.5%	(.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))))))
	59.4%	(.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 ux (-.f32 (.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32)))))))
	56.7%	(.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)))))))
	59.5%	(.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))))))
✓	59.4%	(.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))))))
	57.4%	(.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))))))
	56.4%	(.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) ux) maxCos))))))
	58.3%	(.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))))))
	57.3%	(.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 #s(approx (- (+ (/ (+ ( 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))))))
	25.5%	(.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 #s(approx (- (+ (/ (+ ( 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (.f32 (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 maxCos ux) ux) maxCos))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos))) (.f32 maxCos maxCos))) (.f32 ux ux))))))
	76.1%	(.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))))))
	18.7%	(.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 #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)))))
	40.5%	(.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 #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))))))
	20.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
	20.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
	32.3%	(.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)) ux) maxCos))))
	20.7%	(.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(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux))))))
	20.7%	(.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)) ux) maxCos))))))
	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) (/.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 2 binary32))))))
	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) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	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) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	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))))))
	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 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
✓	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))))))
✓	50.6%	(.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))))))
	52.7%	(.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)) #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))))))))
▶	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) (.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))))))
	50.5%	(.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)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #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 #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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	49.8%	(.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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (/.f32 #s(literal 1 binary32) ux) ux)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux ux))))))
	20.7%	(.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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (.f32 maxCos maxCos) (*.f32 ux ux))))))
▶	76.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	66.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux (*.f32 #s(literal 2 binary32) maxCos))) ux))))
▶	76.2%	#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 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	28.5%	#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 3 965 to 2 500 computations (36.9% saved)

simplify156.0ms (1.5%)

Memory

-1.4MiB live, 164.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32)))))
cost-diff	0	(.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))))))
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	(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))))
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 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.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 ux (*.f32 maxCos ux)))
cost-diff	1	(-.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))))
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 (-.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))))))
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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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	76	770
0	124	746
1	256	746
2	531	746
3	1386	741
4	3521	726
0	8184	680

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

localize187.0ms (1.8%)

Memory

2.9MiB live, 275.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.29525375976844204	(.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))))))
accuracy	0.296875	(*.f32 uy (PI.f32))
accuracy	0.4296875	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	12.815142110613417	(-.f32 #s(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	0.2734375	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
accuracy	0.296875	(*.f32 (PI.f32) uy)
accuracy	0.371757519536884	(.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	7.501547588883104	#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))))
accuracy	0.296875	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy	0.4296875	(.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	5.3900573669658645	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.815142110613417	(-.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))))
accuracy	0.4296875	(.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)))
accuracy	0.9302234054664451	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	5.3900573669658645	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.815142110613417	(-.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))))
accuracy	0.296875	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy	0.35775375976844204	(.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	5.3900573669658645	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	5.568720727239132	(fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))

Samples

124.0ms	253×	0	valid
4.0ms	3×	1	valid

Compiler

Compiled 623 to 65 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-mult: 45.0ms (45% of total)

ival-sqrt: 14.0ms (14% of total)

ival-sub: 12.0ms (12% of total)

ival-sinu: 8.0ms (8% of total)

ival-add: 7.0ms (7% of total)

ival-sin: 5.0ms (5% of total)

ival-div: 4.0ms (4% of total)

ival-cosu: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series56.0ms (0.5%)

Memory

31.0MiB live, 68.5MiB allocated

Counts

26 → 200

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

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)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 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)))))))))
(* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI))))))
(+ (* -1 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* -1/4 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))))))
(+ (* 2 (* (sqrt (* ux (- 2 (* 2 maxCos)))) (* (cos (* uy (PI))) (sin (* uy (PI)))))) (* (pow ux 2) (+ (* -1 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 2))))) (* (pow ux 2) (+ (* -1/4 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 4))))) (* -1/8 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- maxCos 1) 6))))))))))
(* 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)))
(* -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)))))))
(* -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)))))))
(* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1)))))))
(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(pow (- maxCos 1) 2)
(+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))) (* 2 (/ maxCos ux))))
(* (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))))
(- (+ (* -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 (* (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)))))
(* -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) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- maxCos 1) 2)) (* 2 (/ 1 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 (+ (* 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))))))))))
(* 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)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) 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 (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) 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 (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) 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))
(* (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))))
(* (sin (* 2 (* uy (PI)))) (sqrt 2))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(- (* 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 (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 (- 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))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* -2 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))) (* maxCos (+ (* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1 (* (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* 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 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))))
(+ 1 (* maxCos (- (* 2 (/ 1 ux)) 2)))
(+ 1 (* maxCos (- (+ maxCos (* 2 (/ 1 ux))) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(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 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)))))))
(* -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))) (/ (* (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))))))))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 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))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow 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) (- (* -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))))))
(* (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))) (/ (* (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)))))))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (* maxCos (sqrt -1)))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* ux (sqrt -1))))) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (/ (* (cos (* uy (PI))) (* (sin (* 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)))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* ux (sqrt -1)))) maxCos)) (* 2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 1 ux))) (sqrt -1)))) 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))))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))

Calls

9 calls:

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

simplify312.0ms (3%)

Memory

-31.7MiB live, 251.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1186	8191
1	4471	8115
0	8196	7729

Stop Event

1×	iter limit
1×	node limit

Counts

200 → 200

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

rewrite191.0ms (1.8%)

Memory

43.4MiB live, 268.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	76	451
0	124	343
1	496	340
2	3673	340
0	8383	326

Stop Event

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

Counts

26 → 639

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

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

eval96.0ms (0.9%)

Memory: -5.0MiB live, 235.3MiB allocated
Compiler: Compiled 40 693 to 3 781 computations (90.7% saved)

prune136.0ms (1.3%)

Memory

-22.9MiB live, 335.9MiB allocated

Pruning

71 alts after pruning (66 fresh and 5 done)

	Pruned	Kept	Total
New	699	41	740
Fresh	15	25	40
Picked	3	2	5
Done	2	3	5
Total	719	71	790

Accuracy

99.2%

Counts

790 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	59.4%	(.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))))))
	82.3%	(.f32 (sqrt.f32 #s(approx (- 1 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))
	59.4%	(.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))))))
	19.0%	(.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 #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)))))
	26.7%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (/.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) (.f32 (-.f32 maxCos #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))))))))))
	20.8%	(.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 (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)))))))
	59.4%	(.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 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))
	19.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.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)))))
	59.4%	(.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 ux (-.f32 (.f32 (neg.f32 maxCos) ux) #s(literal 1 binary32)))))))
	56.7%	(.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)))))))
	59.5%	(.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))))))
✓	59.4%	(.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))))))
	57.4%	(.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))))))
	56.4%	(.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) ux) maxCos))))))
	58.3%	(.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))))))
	57.3%	(.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 #s(approx (- (+ (/ (+ ( 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux))))))
	25.5%	(.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 #s(approx (- (+ (/ (+ ( 2 maxCos) (/ 1 ux)) ux) (pow (- maxCos 1) 2)) (/ 2 ux)) (.f32 (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 maxCos ux) ux) maxCos))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos ux)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (+.f32 (/.f32 #s(literal 2 binary32) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 #s(literal 2 binary32) maxCos))) (.f32 maxCos maxCos))) (.f32 ux ux))))))
	76.1%	(.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))))))
	19.0%	(.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 #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)))))
	40.5%	(.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 #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))))))
	55.5%	(.f32 #s(approx ( 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (.f32 (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -2/3 binary32)) (.f32 uy uy)))) 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))))))
	24.1%	(.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 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	24.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 (PI.f32) 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))))))
	27.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	24.1%	(.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 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	27.8%	(.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 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	50.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (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))))))
	52.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) 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))))))
	50.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) 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))))))
	33.1%	(.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 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	20.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
	20.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
	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) (/.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) #s(literal 2 binary32))))))
	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) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	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 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
✓	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))))))
✓	50.6%	(.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))))))
	52.7%	(.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)) #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 #s(approx (- 1 (- ux ( maxCos ux))) (.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))))))
	26.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- 1 (- ux ( maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	50.5%	(.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)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #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 #s(literal 1 binary32) ux))))))
	49.8%	(.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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (/.f32 #s(literal 1 binary32) ux) ux)) (/.f32 #s(literal 2 binary32) ux)) (*.f32 ux 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 (* (+ (- 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))))))
	82.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 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 (-.f32 #s(literal 2 binary32) (.f32 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 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) (*.f32 ux ux)))))
	82.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.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 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 ux (-.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 ux ux)))))
	76.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	66.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 maxCos ux) #s(literal 2 binary32)))) (.f32 ux ux)))))
	82.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos)) (neg.f32 (-.f32 maxCos #s(literal 1 binary32)))) (.f32 ux ux)))))
	82.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) (.f32 (/.f32 maxCos ux) #s(literal 2 binary32))) (.f32 ux ux)))))
	66.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux (*.f32 #s(literal 2 binary32) maxCos))) ux))))
	82.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux) ux))))
	82.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 ux ux)))))
	76.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	37.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	62.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	82.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 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))))
	56.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (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))))))
	69.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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)))))
	58.9%	#s(approx (* (* 2 (* (sin (* uy (PI))) (cos (* uy (PI))))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))))
	28.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 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))))
	76.2%	#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))))
	76.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 2 binary32))) (cos.f32 (.f32 (PI.f32) uy))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (sin.f32 (.f32 (PI.f32) uy)))) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.2%	#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 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal 2 binary32))))
	76.3%	#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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy)) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
✓	76.2%	#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 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.2%	#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 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal 2 binary32))))))
	66.2%	#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))))
	66.3%	#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 (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)))
	72.1%	#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)))))))

Compiler

Compiled 9 648 to 3 008 computations (68.8% saved)

regimes427.0ms (4.1%)

Memory

14.0MiB live, 604.7MiB allocated

Counts

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

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (sin.f32 (*.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (*.f32 (/.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 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 ux (-.f32 (*.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (*.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))) (*.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)))))
45.0ms	(*.f32 uy #s(literal 2 binary32))
40.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
38.0ms	ux
37.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
91.0%	1	`ux`
95.8%	2	`uy`
96.2%	2	`maxCos`
91.0%	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))))))`
91.0%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
95.8%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
95.8%	2	`(*.f32 uy #s(literal 2 binary32))`
91.0%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
91.0%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
91.0%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
91.0%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes33.0ms (0.3%)

Memory

17.9MiB live, 55.4MiB allocated

Counts

114 → 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 (* maxCos ux))) (+ (- 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) (PI.f32)) 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) (.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))) (fma.f32 (PI.f32) uy (.f32 (PI.f32) 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))))))
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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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (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))))))

Outputs

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

Calls

1 calls:

28.0ms

maxCos

Results

Accuracy	Segments	Branch
96.2%	2	`maxCos`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes259.0ms (2.5%)

Memory

12.2MiB live, 363.6MiB allocated

Counts

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

Outputs

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

11 calls:

43.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
23.0ms	(*.f32 uy #s(literal 2 binary32))
23.0ms	uy
23.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
22.0ms	ux

Results

Accuracy	Segments	Branch
93.3%	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))))))`
89.5%	2	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
90.5%	2	`ux`
90.5%	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)))))`
90.5%	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))))`
90.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
91.4%	2	`uy`
91.4%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
91.4%	2	`(*.f32 uy #s(literal 2 binary32))`
82.5%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes93.0ms (0.9%)

Memory

-13.6MiB live, 107.1MiB allocated

Counts

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

Outputs

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

47.0ms	(*.f32 uy #s(literal 2 binary32))
22.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
21.0ms	uy

Results

Accuracy	Segments	Branch
91.4%	2	`uy`
91.4%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
91.4%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes59.0ms (0.6%)

Memory

-21.1MiB live, 102.9MiB allocated

Counts

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

Outputs

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

(*.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:

19.0ms	(*.f32 uy #s(literal 2 binary32))
19.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
16.0ms	uy

Results

Accuracy	Segments	Branch
91.3%	2	`uy`
91.3%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
91.3%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 9 to 15 computations (-66.7% saved)

regimes144.0ms (1.4%)

Memory

22.3MiB live, 174.4MiB allocated

Counts

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

#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:

32.0ms	uy
21.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
16.0ms	ux
16.0ms	(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)))))
14.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
85.7%	2	`ux`
85.7%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
85.7%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
85.7%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
85.7%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.4%	2	`uy`
90.4%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
90.4%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes183.0ms (1.7%)

Memory

16.4MiB live, 301.1MiB allocated

Counts

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

Calls

11 calls:

39.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
16.0ms	(*.f32 uy #s(literal 2 binary32))
16.0ms	(.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))))))
15.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
15.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
82.3%	1	`maxCos`
82.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.3%	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)))))`
82.3%	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))))`
82.3%	1	`ux`
82.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
82.3%	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))))))`
82.3%	1	`uy`
82.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
82.3%	1	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes128.0ms (1.2%)

Memory

13.9MiB live, 281.1MiB allocated

Counts

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

Outputs

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

Calls

11 calls:

14.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
14.0ms	(*.f32 uy #s(literal 2 binary32))
12.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
12.0ms	maxCos
11.0ms	ux

Results

Accuracy	Segments	Branch
82.3%	1	`ux`
82.3%	1	`uy`
82.3%	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))))))`
82.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
82.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
82.3%	1	`(*.f32 uy #s(literal 2 binary32))`
82.3%	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)))))`
82.3%	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))))`
82.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
82.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
82.3%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes116.0ms (1.1%)

Memory

-38.1MiB live, 245.0MiB allocated

Counts

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

Outputs

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

11.0ms	maxCos
11.0ms	(*.f32 uy #s(literal 2 binary32))
11.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
11.0ms	ux
10.0ms	(-.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
76.7%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
76.7%	1	`ux`
76.7%	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)))))`
76.7%	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))))`
76.7%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.7%	1	`uy`
76.7%	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))))))`
76.7%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
76.7%	1	`(*.f32 uy #s(literal 2 binary32))`
76.7%	1	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes49.0ms (0.5%)

Memory

11.9MiB live, 98.9MiB 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 (* maxCos ux))) (+ (- 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) (PI.f32)) 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) (.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))) (fma.f32 (PI.f32) uy (.f32 (PI.f32) 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 (* (+ (- 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 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #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) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (.f32 maxCos maxCos) (*.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 ( 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) #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 (-.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))))))
#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))))

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))))))

#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:

11.0ms	maxCos
4.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
4.0ms	ux
4.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
4.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))

Results

Accuracy	Segments	Branch
66.2%	1	`uy`
66.2%	1	`maxCos`
66.2%	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))))))`
66.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
66.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
66.2%	1	`(*.f32 uy #s(literal 2 binary32))`
75.3%	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)))))`
75.3%	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))))`
75.3%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
75.3%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
75.2%	2	`ux`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes18.0ms (0.2%)

Memory

-4.4MiB live, 34.0MiB 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 (* maxCos ux))) (+ (- 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) (PI.f32)) 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) (.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))) (fma.f32 (PI.f32) uy (.f32 (PI.f32) 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 (* (+ (- 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 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #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) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (.f32 maxCos maxCos) (*.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 ( 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) #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 (-.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))))))

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 (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) 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
72.0%	2	`ux`
72.0%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
72.0%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
72.0%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
72.0%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes16.0ms (0.1%)

Memory

-2.0MiB live, 37.0MiB allocated

Counts

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
71.8%	2	`ux`
71.8%	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)))))`
71.8%	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))))`
71.8%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
71.8%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes14.0ms (0.1%)

Memory

-0.8MiB live, 37.6MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 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 (* maxCos ux))) (+ (- 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 (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

11 calls:

2.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
1.0ms	(.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))))))
1.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
1.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
62.3%	1	`maxCos`
62.3%	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))))))`
62.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
62.3%	1	`uy`
62.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
62.3%	1	`(*.f32 uy #s(literal 2 binary32))`
62.3%	1	`ux`
62.3%	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)))))`
62.3%	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))))`
62.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
62.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.675310709804762e-6	1.1301795893814415e-5

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.675310709804762e-6	1.1301795893814415e-5

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0037166501861065626	0.0044461325742304325

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0037166501861065626	0.0044461325742304325

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0037166501861065626	0.0044461325742304325

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0037166501861065626	0.0044461325742304325

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999556303024292	0.9996146559715271

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999908447265625	0.9999194741249084

Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999908447265625	0.9999194741249084

Compiler

Compiled 22 to 21 computations (4.5% saved)

simplify63.0ms (0.6%)

Memory

5.9MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	175	1116
1	316	1116
2	568	1116
3	1276	1113
4	2788	1101
5	6324	1101

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f32 maxCos #s(literal 2748779/274877906944 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.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 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 ux (-.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 ux ux))))))
(if (<=.f32 maxCos #s(literal 2748779/274877906944 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 ux ux))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 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 8589935/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 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 #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 8589935/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.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 8589935/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) #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 (sqrt.f32 #s(approx (- 1 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 16770505/16777216 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)))))) #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 8387853/8388608 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 (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8387853/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) 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 (* maxCos ux))) (+ (- 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 (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs
(if (<=.f32 maxCos #s(literal 2748779/274877906944 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.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 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 ux (-.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 ux ux))))))
(if (<=.f32 maxCos #s(literal 2748779/274877906944 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (/.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 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 ux (-.f32 (.f32 (/.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))))) (*.f32 ux ux))))))
(if (<=.f32 maxCos #s(literal 2748779/274877906944 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 ux ux))))))
(if (<=.f32 maxCos #s(literal 2748779/274877906944 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 ux ux))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 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 8589935/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 #s(approx (- (/ 2 ux) (+ ( (/ maxCos ux) 2) (* (- maxCos 1) (+ maxCos -1)))) (/.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 ux ux))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 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 #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 8589935/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (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 #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.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 8589935/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) #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 (sqrt.f32 #s(approx (- 1 (+ ( (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32))))))) #s(approx (sin (* (* uy 2) (PI))) (.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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 maxCos #s(literal 2 binary32))) ux) (.f32 (+.f32 #s(literal -1 binary32) maxCos) (-.f32 maxCos #s(literal 1 binary32)))) ux) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* 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 16770505/16777216 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)))))) #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 16770505/16777216 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)))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.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 8387853/8388608 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 (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8387853/8388608 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8387853/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) 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 (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
(if (<=.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(literal 8387853/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (*.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 (* maxCos ux))) (+ (- 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

soundness1.3s (12.4%)

Memory

20.6MiB live, 1 035.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	5394
1	3058	5071
0	8659	4834
0	76	451
0	124	343
1	496	340
2	3673	340
0	8383	326
0	633	3816
1	2280	3626
0	8802	3409
0	1186	8191
1	4471	8115
0	8196	7729
0	419	2265
1	1472	2148
2	6557	2130
0	8189	2026
0	16	75
0	27	54
1	110	54
2	908	54
0	8392	50
0	69	542
0	124	491
1	474	474
2	3693	466
0	8222	466

Stop Event

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

Compiler

Compiled 3 942 to 1 520 computations (61.4% saved)

preprocess132.0ms (1.3%)

Memory: -0.8MiB live, 168.0MiB allocated
Remove: (negabs uy)
Compiler: Compiled 3 050 to 596 computations (80.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze217.0ms (2.1%)

sample2.0s (19.3%)

explain213.0ms (2%)

preprocess252.0ms (2.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify157.0ms (1.5%)

localize37.0ms (0.4%)

series101.0ms (1%)

simplify187.0ms (1.8%)

rewrite211.0ms (2%)

eval160.0ms (1.5%)

prune419.0ms (4%)

simplify156.0ms (1.5%)

localize199.0ms (1.9%)

series109.0ms (1%)

simplify239.0ms (2.3%)

rewrite192.0ms (1.8%)

eval173.0ms (1.7%)

prune77.0ms (0.7%)

simplify123.0ms (1.2%)

localize197.0ms (1.9%)

series74.0ms (0.7%)

simplify216.0ms (2.1%)

rewrite347.0ms (3.3%)

eval171.0ms (1.6%)

prune66.0ms (0.6%)

simplify156.0ms (1.5%)

localize187.0ms (1.8%)

series56.0ms (0.5%)

simplify312.0ms (3%)

rewrite191.0ms (1.8%)

eval96.0ms (0.9%)

prune136.0ms (1.3%)

regimes427.0ms (4.1%)

regimes33.0ms (0.3%)

regimes259.0ms (2.5%)

regimes93.0ms (0.9%)

regimes59.0ms (0.6%)

regimes144.0ms (1.4%)

regimes183.0ms (1.7%)

regimes128.0ms (1.2%)

regimes116.0ms (1.1%)

regimes49.0ms (0.5%)

regimes18.0ms (0.2%)

regimes16.0ms (0.1%)

regimes14.0ms (0.1%)

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%)

simplify63.0ms (0.6%)

soundness1.3s (12.4%)

preprocess132.0ms (1.3%)

end0.0ms (0%)

Profiling