Metrics for UniformSampleCone, y

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze351.0ms (2.5%)

Memory

-12.4MiB live, 354.1MiB 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)

sample2.1s (15.2%)

Memory

129.6MiB live, 1 897.2MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-mult: 536.0ms (42.9% of total)

ival-<=: 158.0ms (12.7% of total)

ival-sinu: 150.0ms (12% of total)

const: 143.0ms (11.5% of total)

ival-sub: 90.0ms (7.2% of total)

ival-sqrt: 69.0ms (5.5% of total)

ival-add: 53.0ms (4.2% of total)

ival-and: 34.0ms (2.7% of total)

exact: 12.0ms (1% of total)

ival-assert: 4.0ms (0.3% of total)

Bogosity

explain341.0ms (2.5%)

Memory

-74.1MiB live, 336.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f32`	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`	cancellation	185	20

Confusion

	Predicted +	Predicted -
+	181	5
-	4	66

Precision

0.9783783783783784

Recall

0.9731182795698925

Confusion?

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

Precision?

0.9073170731707317

Recall?

1.0

Freqs

test

number	freq
0	71
1	185

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

125.0ms	506×	0	valid
24.0ms	6×	1	valid

Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 122.0ms

ival-sub: 37.0ms (30.3% of total)

ival-sinu: 34.0ms (27.8% of total)

ival-mult: 24.0ms (19.7% of total)

ival-sqrt: 18.0ms (14.7% of total)

ival-add: 4.0ms (3.3% of total)

ival-pi: 3.0ms (2.5% of total)

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

exact: 1.0ms (0.8% of total)

adjust: 0.0ms (0% of total)

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

preprocess305.0ms (2.2%)

Memory

2.6MiB live, 230.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	61.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Status

Accuracy

Program

▶

61.0%

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

Compiler

Compiled 25 to 16 computations (36% saved)

simplify192.0ms (1.4%)

Memory

12.4MiB live, 158.0MiB 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

localize95.0ms (0.7%)

Memory

-25.6MiB live, 63.7MiB allocated

Localize:

Found 4 expressions of interest:

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

Samples

37.0ms	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: 25.0ms

ival-mult: 10.0ms (40.1% of total)

ival-sinu: 5.0ms (20% of total)

ival-sub: 3.0ms (12% of total)

ival-add: 2.0ms (8% of total)

ival-sqrt: 2.0ms (8% of total)

ival-pi: 1.0ms (4% 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)

series34.0ms (0.2%)

Memory

36.6MiB live, 36.6MiB 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
8.0ms	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)))
6.0ms	maxCos	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
4.0ms	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)))
3.0ms	uy	@	-inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms	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)))

simplify385.0ms (2.8%)

Memory

28.7MiB live, 439.1MiB 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))

rewrite241.0ms (1.7%)

Memory

-28.4MiB live, 309.4MiB 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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(+.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))))
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(+.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))))
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(+.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)))
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(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))

eval403.0ms (2.9%)

Memory: 18.6MiB live, 215.9MiB allocated
Compiler: Compiled 32 574 to 3 359 computations (89.7% saved)

prune260.0ms (1.9%)

Memory

-7.1MiB live, 96.5MiB allocated

Pruning

40 alts after pruning (40 fresh and 0 done)

	Pruned	Kept	Total
New	570	40	610
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	571	40	611

Accuracy

86.5%

Counts

611 → 40

Alt Table

Click to see full alt table

Status	Accuracy	Program
	14.0%	(/.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))
	5.1%	(/.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))
▶	14.5%	(/.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))
	13.6%	(/.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))
	9.3%	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	61.1%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
▶	23.4%	(.f32 (sin.f32 (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.8%	(.f32 (sin.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (cosh.f32 (log.f32 (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) uy) (sinh.f32 (log.f32 (PI.f32)))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.9%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.8%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	16.9%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	11.2%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))))
	26.4%	(.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)))))
	8.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))))
	21.0%	(.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))))
	19.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
	16.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))))))
	20.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	61.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	21.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	61.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	60.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
	27.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
	25.7%	(.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))))))
	12.2%	(.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))))))
	17.8%	(.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))))))
	17.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (-.f32 (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) maxCos (/.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))))))
	17.5%	(.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 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))))))
	21.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
	1.3%	(.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 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	32.8%	(.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))))
	4.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) ux (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (neg.f32 maxCos))) (neg.f32 maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos)))))
▶	20.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	17.2%	(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
	44.0%	(.f32 (sin.f32 (log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
▶	52.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))

Compiler

Compiled 2 850 to 1 676 computations (41.2% saved)

simplify326.0ms (2.4%)

Memory

-18.1MiB live, 348.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.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))))))
cost-diff	0	(/.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))
cost-diff	1	(-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -2 binary32) (.f32 uy (PI.f32))))
cost-diff	1	(-.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
cost-diff	0	(*.f32 uy #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #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)))))
cost-diff	0	(.f32 (sin.f32 (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
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	1	(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
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	63	753
0	109	713
1	200	713
2	427	703
3	1162	703
4	3048	698
5	6927	698
0	8621	678

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

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

localize338.0ms (2.4%)

Memory

-4.5MiB live, 377.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(*.f32 uy (PI.f32))
accuracy	1.3581128855754818	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	12.416741688328557	(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	17.212649052265146	(-.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))))))
accuracy	0.3046875	(.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))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.40625	(.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)))))
accuracy	1.908792628043862	(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy	0.359375	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	0.40625	(.f32 (sin.f32 (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	24.492400713669998	(fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))
accuracy	0.359375	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.359375	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy	0.40625	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))

Samples

212.0ms	236×	0	valid
24.0ms	20×	1	valid

Compiler

Compiled 659 to 49 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 197.0ms

ival-mult: 100.0ms (50.8% of total)

ival-sub: 39.0ms (19.8% of total)

ival-add: 10.0ms (5.1% of total)

ival-div: 9.0ms (4.6% of total)

ival-cos: 9.0ms (4.6% of total)

ival-acos: 7.0ms (3.6% of total)

ival-sinu: 6.0ms (3% of total)

ival-sin: 5.0ms (2.5% of total)

ival-pow2: 4.0ms (2% of total)

adjust: 3.0ms (1.5% of total)

ival-sqrt: 3.0ms (1.5% of total)

ival-pi: 2.0ms (1% of total)

exact: 1.0ms (0.5% of total)

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

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

series57.0ms (0.4%)

Memory

19.3MiB live, 105.2MiB allocated

Counts

24 → 120

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	uy	@	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))) (+ (* uy (PI)) (* uy (PI))) (* (sin (+ (* uy (PI)) (* uy (PI)))) (sqrt (- 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))) (* (* uy 2) (PI)) (* uy 2) (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))) (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* uy (PI)))
9.0ms	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))) (+ (* uy (PI)) (* uy (PI))) (* (sin (+ (* uy (PI)) (* uy (PI)))) (sqrt (- 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))) (* (* uy 2) (PI)) (* uy 2) (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))) (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* uy (PI)))
8.0ms	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))) (+ (* uy (PI)) (* uy (PI))) (* (sin (+ (* uy (PI)) (* uy (PI)))) (sqrt (- 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))) (* (* uy 2) (PI)) (* uy 2) (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))) (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* uy (PI)))
6.0ms	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))) (+ (* uy (PI)) (* uy (PI))) (* (sin (+ (* uy (PI)) (* uy (PI)))) (sqrt (- 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))) (* (* uy 2) (PI)) (* uy 2) (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))) (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* uy (PI)))
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))) (+ (* uy (PI)) (* uy (PI))) (* (sin (+ (* uy (PI)) (* uy (PI)))) (sqrt (- 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))) (* (* uy 2) (PI)) (* uy 2) (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy))) (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))) (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* uy (PI)))

simplify487.0ms (3.5%)

Memory

-22.3MiB live, 501.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	571	3326
1	1996	3088
0	8401	2906

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

rewrite323.0ms (2.3%)

Memory

2.3MiB live, 282.1MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	63	388
0	109	322
1	425	292
2	3620	292
0	8426	292

Stop Event

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

Counts

24 → 1 164

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

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

eval199.0ms (1.4%)

Memory: 12.5MiB live, 336.3MiB allocated
Compiler: Compiled 50 335 to 5 082 computations (89.9% saved)

prune115.0ms (0.8%)

Memory

-19.6MiB live, 139.9MiB allocated

Pruning

37 alts after pruning (35 fresh and 2 done)

	Pruned	Kept	Total
New	1 198	26	1 224
Fresh	26	9	35
Picked	3	2	5
Done	0	0	0
Total	1 227	37	1 264

Accuracy

99.0%

Counts

1 264 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.6%	(/.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy)))))) #s(literal 2 binary32))
✓	14.0%	(/.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))
	69.0%	(.f32 (-.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (neg.f32 (PI.f32)) uy))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (sin.f32 (.f32 (neg.f32 (PI.f32)) 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)))))
	72.5%	(.f32 (+.f32 (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (cos.f32 (/.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sin.f32 (/.f32 (pow.f32 (.f32 (PI.f32) uy) #s(literal 3 binary32)) (+.f32 #s(literal 0 binary32) (pow.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	61.1%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.9%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 #s(literal 2 binary32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	60.8%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	20.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	20.9%	(.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
▶	61.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	60.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	60.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	11.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	21.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
	20.0%	(.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 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 ux ux)) (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
	98.1%	(.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 (/.f32 (-.f32 (pow.f32 (.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 (.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32))) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
▶	98.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	97.5%	(.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 #s(approx (+ ( -2 maxCos) 2) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
▶	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	33.0%	(.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	41.7%	(.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (*.f32 maxCos maxCos))))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	30.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
▶	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	51.4%	(.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 (-.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))))))
	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))))))
▶	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	53.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	13.3%	#s(approx (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (.f32 (.f32 (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (PI.f32) #s(literal 2 binary32))) uy))

Compiler

Compiled 2 972 to 1 823 computations (38.7% saved)

simplify155.0ms (1.1%)

Memory

14.3MiB live, 199.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 uy #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
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	(.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))))))
cost-diff	1	(-.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))))
cost-diff	2	(.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
cost-diff	9	(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)))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(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 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
cost-diff	1	(-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos))
cost-diff	1	(-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	840
0	110	766
1	213	764
2	474	764
3	1887	764
4	5061	754
0	8166	729

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

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

localize215.0ms (1.5%)

Memory

-4.1MiB live, 322.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.40625	(.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 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
accuracy	1.908792628043862	#s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.359375	(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
accuracy	0.40625	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
accuracy	0.5767692567029838	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (fma.f32 #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))))
accuracy	29.09955722539936	(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)))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
accuracy	0.5767692567029838	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.1896513546304033	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy	0.3046875	(.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.40625	(.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 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))

Samples

134.0ms	253×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 693 to 51 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 40.0ms (50.4% of total)

ival-sub: 13.0ms (16.4% of total)

ival-sqrt: 6.0ms (7.6% of total)

ival-sinu: 6.0ms (7.6% of total)

ival-add: 5.0ms (6.3% of total)

ival-div: 4.0ms (5% of total)

ival-pow2: 3.0ms (3.8% of total)

ival-pi: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series181.0ms (1.3%)

Memory

31.5MiB live, 126.8MiB allocated

Counts

24 → 189

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
63.0ms	uy	@	-inf	((- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (- 2 (* 2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (* uy 2) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
37.0ms	ux	@	0	((- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (- 2 (* 2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (* uy 2) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
15.0ms	ux	@	inf	((- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (- 2 (* 2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (* uy 2) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
14.0ms	ux	@	-inf	((- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (- 2 (* 2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (* uy 2) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))
9.0ms	uy	@	inf	((- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (- 2 (* 2 maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (* uy 2) (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (+ (* maxCos ux) (- 1 ux)) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)))

simplify291.0ms (2.1%)

Memory

-12.0MiB live, 220.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	935	5766
1	3318	5424
0	8511	5174

Stop Event

1×	iter limit
1×	node limit

Counts

189 → 189

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

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

rewrite255.0ms (1.8%)

Memory

24.2MiB live, 310.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	421
0	110	327
1	421	323
2	3051	323
0	8170	316

Stop Event

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

Counts

24 → 877

Calls

Call 1

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

Outputs
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (neg.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 (neg.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (neg.f32 (+.f32 (fma.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) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (+.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)))
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(fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 maxCos (.f32 ux (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(pow.f32 (exp.f32 (log.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))
(fabs.f32 (-.f32 (/.f32 (pow.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))))))
(fabs.f32 (-.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
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(fabs.f32 (-.f32 (.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
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(fabs.f32 (-.f32 (neg.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
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(exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos)
(.f32 (.f32 ux (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) maxCos)
(.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))
(.f32 (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32))
(.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux)
(.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 (*.f32 ux maxCos) #s(literal 1 binary32)))
(.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 ux maxCos))
(.f32 #s(literal 1 binary32) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos))
(.f32 maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux))
(.f32 maxCos (.f32 ux (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32))) (*.f32 ux maxCos)) (-.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))
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(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 ux maxCos) maxCos) ux (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
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(fma.f32 (.f32 maxCos maxCos) (.f32 ux ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (.f32 ux maxCos) (.f32 ux maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 (.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))
(fma.f32 (.f32 ux ux) (.f32 maxCos maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 ux (.f32 maxCos (.f32 ux maxCos)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
(fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))
(fma.f32 maxCos (.f32 ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))
(fma.f32 maxCos (.f32 (.f32 ux maxCos) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos))
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(-.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)))
(-.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(-.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) maxCos (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (.f32 ux (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) maxCos (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) ux (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 (.f32 ux maxCos) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (.f32 ux maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 maxCos (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fma.f32 maxCos (.f32 ux (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(pow.f32 (exp.f32 (log.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))
(fabs.f32 (-.f32 (/.f32 (pow.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 ux maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 ux maxCos) #s(literal 2 binary32))))))
(fabs.f32 (-.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 ux maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 ux) (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (neg.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (-.f32 (.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (.f32 (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (*.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
(fabs.f32 (.f32 (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(fabs.f32 (.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (-.f32 (.f32 (neg.f32 ux) maxCos) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (neg.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (-.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) #s(literal 2 binary32)))))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(+.f32 (.f32 (.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))))
#s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32))
(.f32 (.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (neg.f32 ux)) (neg.f32 ux))
(.f32 (.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux)
(.f32 (neg.f32 ux) (.f32 (neg.f32 ux) (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))
(.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux))
(.f32 (.f32 ux ux) (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(.f32 ux (.f32 (-.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux))
(/.f32 (.f32 (-.f32 (pow.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 ux ux)) (+.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 ux ux) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)))) (+.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 ux ux) (-.f32 (pow.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 3 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)))) (+.f32 (fma.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (pow.f32 (/.f32 #s(approx (+ (* -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 2 binary32))))

eval252.0ms (1.8%)

Memory: -36.8MiB live, 433.9MiB allocated
Compiler: Compiled 35 606 to 3 824 computations (89.3% saved)

prune63.0ms (0.5%)

Memory

6.6MiB live, 152.0MiB allocated

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	649	40	689
Fresh	17	13	30
Picked	4	1	5
Done	0	2	2
Total	670	56	726

Accuracy

99.5%

Counts

726 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	15.0%	(/.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy)))))) #s(literal 2 binary32))
✓	14.1%	(/.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))
	93.2%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	61.0%	(.f32 (sin.f32 (.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 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	97.4%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	92.7%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	61.1%	(.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	92.7%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	60.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	97.3%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	92.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	19.7%	(.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	11.4%	(.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))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	21.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
	74.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32)))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (.f32 (-.f32 (pow.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 ux ux)) (+.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
	18.6%	(.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 (pow.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (+.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)))))
▶	98.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	97.5%	(.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 #s(approx (- 2 ( 2 maxCos)) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
▶	41.0%	(.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 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
	21.0%	(.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)))) #s(approx (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))))))
	33.8%	(.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	41.7%	(.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (*.f32 maxCos maxCos))))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	52.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	81.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	29.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
▶	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (*.f32 ux maxCos))))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(approx ( 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux)) (*.f32 ux maxCos))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.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))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 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)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
✓	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	53.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	26.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	7.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	6.2%	(.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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))))))
	51.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	20.2%	(.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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux ux))))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (.f32 (.f32 maxCos maxCos) (*.f32 ux ux))))))
	77.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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)))))
	64.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))))
▶	62.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	3.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
	12.9%	#s(approx (/ (- (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* (PI) (* 2 uy)))) (cos (- (acos (+ (* maxCos ux) (- 1 ux))) (* -2 (* uy (PI)))))) 2) (.f32 (.f32 (sin.f32 (acos.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))) (*.f32 (PI.f32) #s(literal 2 binary32))) uy))
▶	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos)))))

Compiler

Compiled 4 945 to 3 071 computations (37.9% saved)

simplify159.0ms (1.1%)

Memory

11.3MiB live, 150.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 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 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
cost-diff	2	(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux))
cost-diff	4	(-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)))
cost-diff	0	(sqrt.f32 #s(literal 2 binary32))
cost-diff	0	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos))))
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 ux (*.f32 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) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
cost-diff	1	(-.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
cost-diff	7	(fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
cost-diff	0	(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
cost-diff	0	(.f32 (.f32 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 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
cost-diff	1	(-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	1004
0	139	972
1	262	944
2	547	914
3	1468	914
4	3904	900
0	8201	887

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

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

localize177.0ms (1.3%)

Memory

8.0MiB live, 287.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.40625	(.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 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
accuracy	11.096035181751086	(-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)))
accuracy	17.597348192610873	(.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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))
accuracy	0.30078125	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
accuracy	0.328125	(*.f32 (PI.f32) uy)
accuracy	0.34375	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos))))
accuracy	8.110609586465813	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos)))))
accuracy	0.49298303738560684	(fma.f32 ux maxCos #s(literal 1 binary32))
accuracy	0.5648922464789452	(fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.408326942903008	(-.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))
accuracy	0.40625	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
accuracy	1.908792628043862	(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy	5.739048026199444	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	8.881339231222181	#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))
accuracy	0.1896513546304033	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
accuracy	0.3046875	(.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
accuracy	0.328125	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.40625	(.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 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))

Samples

124.0ms	254×	0	valid
2.0ms	2×	1	valid

Compiler

Compiled 704 to 72 computations (89.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 99.0ms

ival-mult: 44.0ms (44.3% of total)

ival-sub: 17.0ms (17.1% of total)

ival-div: 10.0ms (10.1% of total)

ival-sqrt: 8.0ms (8.1% of total)

ival-add: 7.0ms (7.1% of total)

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

ival-pow2: 4.0ms (4% of total)

ival-sin: 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)

series92.0ms (0.7%)

Memory

13.9MiB live, 59.6MiB allocated

Counts

24 → 185

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
57.0ms	maxCos	@	inf	((- (- 2 maxCos) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (- ux (* ux maxCos)))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* ux maxCos) 1) (* (PI) uy) (* (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (* maxCos maxCos)))
5.0ms	ux	@	0	((- (- 2 maxCos) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (- ux (* ux maxCos)))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* ux maxCos) 1) (* (PI) uy) (* (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (* maxCos maxCos)))
5.0ms	ux	@	-inf	((- (- 2 maxCos) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (- ux (* ux maxCos)))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* ux maxCos) 1) (* (PI) uy) (* (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (* maxCos maxCos)))
4.0ms	ux	@	inf	((- (- 2 maxCos) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (- ux (* ux maxCos)))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* ux maxCos) 1) (* (PI) uy) (* (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (* maxCos maxCos)))
4.0ms	maxCos	@	-inf	((- (- 2 maxCos) maxCos) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (- ux (* ux maxCos)))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ (- (- 2 maxCos) maxCos) ux) (pow (- maxCos 1) 2)) (* ux ux)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* ux maxCos) 1) (* (PI) uy) (* (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (* maxCos maxCos)))

simplify245.0ms (1.8%)

Memory

-33.5MiB live, 214.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	988	6574
1	3539	6034
0	8319	5770

Stop Event

1×	iter limit
1×	node limit

Counts

185 → 185

Calls

Call 1

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

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

rewrite201.0ms (1.4%)

Memory

34.3MiB live, 264.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	456
0	139	414
1	557	367
2	4573	367
0	8185	367

Stop Event

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

Counts

24 → 377

Calls

Call 1

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

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

eval86.0ms (0.6%)

Memory: -3.8MiB live, 177.6MiB allocated
Compiler: Compiled 35 446 to 3 566 computations (89.9% saved)

prune187.0ms (1.4%)

Memory

1.3MiB live, 298.2MiB allocated

Pruning

71 alts after pruning (67 fresh and 4 done)

	Pruned	Kept	Total
New	550	31	581
Fresh	12	36	48
Picked	4	1	5
Done	0	3	3
Total	566	71	637

Accuracy

99.6%

Counts

637 → 71

Alt Table

Click to see full alt table

Status	Accuracy	Program
	13.2%	(/.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 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy)))))) #s(literal 2 binary32))
✓	14.2%	(/.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))
	93.2%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	41.0%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
	61.0%	(.f32 (sin.f32 (.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 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	92.7%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	40.8%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
	61.1%	(.f32 (sin.f32 (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	61.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	92.7%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	40.7%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
	60.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	92.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	40.8%	(.f32 (sin.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (fma.f32 maxCos ux #s(literal 1 binary32))) (.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	59.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux ( maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32)))))))
	61.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	60.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	11.8%	(.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))))))
	21.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
	74.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32)))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (/.f32 (.f32 (-.f32 (pow.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))) (.f32 ux ux)) (+.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))))))
	97.5%	(.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 #s(approx (- (- 2 maxCos) maxCos) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))
	36.0%	(.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 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) #s(approx (+ (+ 1 (/ 1 ( maxCos maxCos))) (/ (/ 2 maxCos) ux)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))) (*.f32 ux ux)))))
	41.0%	(.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 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (/.f32 (/.f32 #s(literal 2 binary32) maxCos) ux)) (+.f32 (pow.f32 maxCos #s(literal -2 binary32)) #s(literal 1 binary32))) maxCos) maxCos)) (*.f32 ux ux)))))
	32.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 #s(approx (- (- (/ 2 maxCos) (/ -2 ( (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (.f32 maxCos maxCos))) (*.f32 ux ux)))))
	41.1%	(.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 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 #s(approx (- (- (/ 2 maxCos) (/ -2 ( (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (-.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (neg.f32 ux)) (/.f32 #s(literal 2 binary32) maxCos)) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) #s(literal 1 binary32)))) (.f32 maxCos maxCos))) (.f32 ux ux)))))
	41.0%	(.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 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) #s(approx (* (- (- (/ 2 maxCos) (/ -2 (* (* maxCos maxCos) ux))) (+ (+ 1 (/ 1 (* maxCos maxCos))) (/ (/ 2 maxCos) ux))) (* maxCos maxCos)) (.f32 (.f32 maxCos maxCos) (+.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux))))) (*.f32 ux ux)))))
	21.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos))))))
	34.3%	(.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))))
	41.7%	(.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (*.f32 maxCos maxCos))))))
	93.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	13.7%	(.f32 (sin.f32 (acos.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
	23.6%	(.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) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
	27.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
	62.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	16.3%	(.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 (-.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) maxCos) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))))))
	8.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	52.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))
	81.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
	81.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
	34.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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)))))
	51.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 4 binary32))) (+.f32 (pow.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	30.6%	(.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 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux))) (.f32 (*.f32 ux maxCos) (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.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))))))
	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 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)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
✓	51.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	53.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	52.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	26.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	20.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux ux))))))
	20.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (.f32 (.f32 maxCos maxCos) (*.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 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) #s(literal 1 binary32)))))
	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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	6.2%	(.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 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))))))
	77.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 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)))))
	64.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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))))
	74.4%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos)))))
	74.1%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sqrt.f32 #s(literal 2 binary32))) (sin.f32 (.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))))
	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (sin.f32 (.f32 (PI.f32) (*.f32 uy #s(literal 2 binary32))))) (sqrt.f32 #s(literal 2 binary32))))
✓	74.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos)))))
	64.3%	#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 ux (.f32 ux maxCos)))))
	64.4%	#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 (- ux (* ux maxCos)))) (.f32 (.f32 (sqrt.f32 (-.f32 ux (.f32 ux maxCos))) (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)))
	71.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (- ux (* ux maxCos)))) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))

Compiler

Compiled 9 798 to 3 015 computations (69.2% saved)

regimes414.0ms (3%)

Memory

39.6MiB live, 555.3MiB allocated

Counts

138 → 1

Calls

Call 1

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

Outputs

(*.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 (-.f32 #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))

Calls

11 calls:

62.0ms	maxCos
47.0ms	uy
37.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
36.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
35.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

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

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes282.0ms (2%)

Memory

5.5MiB live, 380.8MiB allocated

Counts

93 → 1

Calls

Call 1

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

Outputs

(*.f32 (sin.f32 (*.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 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))

Calls

11 calls:

31.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
28.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
28.0ms	uy
27.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
25.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

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

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes347.0ms (2.5%)

Memory

-28.9MiB live, 350.3MiB allocated

Counts

91 → 2

Calls

Call 1

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

Outputs

(*.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 #s(approx (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux 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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (-.f32 (*.f32 (*.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (*.f32 ux ux)) (*.f32 maxCos maxCos))))))

Calls

11 calls:

78.0ms	uy
60.0ms	ux
25.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
25.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
23.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
93.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
93.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
93.2%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
93.2%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
93.2%	1	`(*.f32 uy #s(literal 2 binary32))`
93.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
93.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
93.2%	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))))))`
93.2%	1	`ux`
93.2%	1	`uy`
98.2%	2	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes24.0ms (0.2%)

Memory

-7.0MiB live, 39.5MiB allocated

Counts

80 → 2

Calls

Call 1

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

Outputs

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

Calls

1 calls:

19.0ms

maxCos

Results

Accuracy	Segments	Branch
97.3%	2	`maxCos`

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes64.0ms (0.5%)

Memory

34.4MiB live, 89.7MiB allocated

Counts

79 → 1

Calls

Call 1

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

Outputs

(*.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 #s(approx (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux ux)))))

Calls

3 calls:

24.0ms

(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)))))

19.0ms

maxCos

17.0ms

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

Results

Accuracy	Segments	Branch
93.2%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
93.2%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
93.2%	1	`maxCos`

Compiler

Compiled 36 to 22 computations (38.9% saved)

regimes221.0ms (1.6%)

Memory

-26.4MiB live, 298.2MiB allocated

Counts

55 → 1

Calls

Call 1

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

Outputs

(*.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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))

Calls

11 calls:

47.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
40.0ms	maxCos
18.0ms	(*.f32 uy #s(literal 2 binary32))
16.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
16.0ms	uy

Results

Accuracy	Segments	Branch
93.2%	1	`maxCos`
93.2%	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))))))`
93.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
93.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
93.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
93.2%	1	`(*.f32 uy #s(literal 2 binary32))`
93.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
93.2%	1	`ux`
93.2%	1	`uy`
93.2%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
93.2%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes565.0ms (4.1%)

Memory

-9.7MiB live, 299.9MiB allocated

Counts

54 → 2

Calls

Call 1

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

Outputs

(*.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 ux (*.f32 ux maxCos)))))

Calls

11 calls:

359.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
39.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
33.0ms	ux
29.0ms	uy
23.0ms	(-.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
84.4%	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))))))`
79.6%	2	`maxCos`
89.1%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
89.1%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
89.1%	2	`ux`
82.1%	2	`(*.f32 uy #s(literal 2 binary32))`
82.1%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
79.1%	2	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
82.1%	2	`uy`
89.1%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
89.1%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes84.0ms (0.6%)

Memory

-4.0MiB live, 86.9MiB allocated

Counts

51 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

28.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
18.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
13.0ms	ux
12.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
11.0ms	(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
88.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
88.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
88.9%	2	`ux`
88.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
88.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes81.0ms (0.6%)

Memory

22.3MiB live, 77.8MiB allocated

Counts

50 → 2

Calls

Call 1

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

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 #s(literal 1 binary32) ux))))))

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

Calls

5 calls:

33.0ms	ux
12.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
12.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
11.0ms	(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)))))
11.0ms	(-.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
88.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
88.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
88.9%	2	`ux`
88.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
88.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes77.0ms (0.6%)

Memory

-16.3MiB live, 74.5MiB allocated

Counts

49 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

22.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
12.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
12.0ms	ux
11.0ms	(-.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))))
10.0ms	(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
84.5%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
84.5%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
84.5%	2	`ux`
84.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
84.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes159.0ms (1.1%)

Memory

9.3MiB live, 109.5MiB allocated

Counts

43 → 2

Calls

Call 1

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

Calls

8 calls:

55.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
41.0ms	ux
10.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
10.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
10.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
81.2%	2	`(*.f32 uy #s(literal 2 binary32))`
81.2%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
81.2%	2	`uy`
81.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
81.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
81.9%	2	`ux`
81.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
81.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes141.0ms (1%)

Memory

-14.2MiB live, 124.0MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

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

Calls

10 calls:

30.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
22.0ms	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
20.0ms	maxCos
10.0ms	ux
10.0ms	(.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
79.3%	2	`maxCos`
73.0%	1	`(*.f32 uy #s(literal 2 binary32))`
73.0%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
73.0%	1	`uy`
73.0%	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))))))`
76.7%	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))))`
76.7%	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)))))`
76.7%	2	`ux`
76.7%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.7%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 93 to 71 computations (23.7% saved)

regimes30.0ms (0.2%)

Memory

35.9MiB live, 35.9MiB allocated

Counts

39 → 2

Calls

Call 1

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

Outputs

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

Calls

3 calls:

9.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
9.0ms	ux
9.0ms	maxCos

Results

Accuracy	Segments	Branch
76.7%	2	`ux`
73.0%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
73.0%	1	`maxCos`

Compiler

Compiled 8 to 14 computations (-75% saved)

regimes84.0ms (0.6%)

Memory

-42.5MiB live, 57.4MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

#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 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))))))

Calls

5 calls:

34.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
25.0ms	ux
8.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
7.0ms	(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)))))
7.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Results

Accuracy	Segments	Branch
76.4%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.4%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.4%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
76.4%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
76.4%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes25.0ms (0.2%)

Memory

29.0MiB live, 29.0MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

#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 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))))))

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
76.4%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.4%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.4%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
76.4%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
76.4%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes58.0ms (0.4%)

Memory

-8.2MiB live, 85.8MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

Calls

11 calls:

8.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
6.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
5.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
5.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
64.3%	1	`(*.f32 uy #s(literal 2 binary32))`
64.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
64.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
64.3%	1	`uy`
69.0%	2	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
64.3%	1	`maxCos`
75.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
75.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
75.6%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
75.6%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
75.6%	2	`ux`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes17.0ms (0.1%)

Memory

21.7MiB live, 21.7MiB 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 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 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 (+.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 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))

Outputs

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

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

Calls

5 calls:

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	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
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
73.6%	2	`ux`
73.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
73.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
73.6%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
73.6%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes22.0ms (0.2%)

Memory

-20.1MiB live, 32.1MiB allocated

Counts

10 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

9.0ms	(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 #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	(-.f32 #s(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
73.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
73.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
73.6%	2	`ux`
73.6%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
73.6%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes38.0ms (0.3%)

Memory

-27.5MiB live, 19.3MiB 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 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (.f32 (neg.f32 ux) ux) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) (.f32 (.f32 maxCos maxCos) (*.f32 ux ux))))))

Outputs

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

(*.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))))))

Calls

5 calls:

26.0ms	(+.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	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
3.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))

Results

Accuracy	Segments	Branch
73.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
73.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
73.5%	2	`ux`
73.5%	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))))`
73.5%	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)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes20.0ms (0.1%)

Memory

29.4MiB live, 29.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
62.1%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
62.1%	1	`(*.f32 uy #s(literal 2 binary32))`
62.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
62.1%	1	`uy`
62.1%	1	`maxCos`
62.1%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
62.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
62.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
62.1%	1	`ux`
62.1%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
62.1%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes22.0ms (0.2%)

Memory

-20.8MiB live, 26.4MiB 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 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) #s(literal 1 binary32)))))

Outputs

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

Calls

11 calls:

11.0ms	(*.f32 uy #s(literal 2 binary32))
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	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	(.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
7.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
7.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
7.1%	1	`maxCos`
7.1%	1	`(*.f32 uy #s(literal 2 binary32))`
7.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
7.1%	1	`uy`
7.1%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
7.1%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
7.1%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
7.1%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
7.1%	1	`ux`

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.337475491826426e-14	1.0641627959688191e-13

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.6302536334393313e-14	2.8268023772454187e-14

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996476769447327	0.9996541142463684

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996476769447327	0.9996541142463684

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996476769447327	0.9996541142463684

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9979663491249084	0.9980154633522034

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.999343991279602	0.9993568658828735

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.08722588285894e-16	7.492655986855712e-16

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00346460216678679	0.003649098100140691

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00011805573012679815	0.00012010423961328343

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00011805573012679815	0.00012010423961328343

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.03235485032200813	0.03547271713614464

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.018598003312945366	0.01877027004957199

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.018598003312945366	0.01877027004957199

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.018598003312945366	0.01877027004957199

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify62.0ms (0.5%)

Memory

0.6MiB live, 48.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	1728
1	433	1728
2	848	1728
3	2734	1728
4	6752	1728

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.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 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(if (<=.f32 maxCos #s(literal 14757395/295147905179352825856 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (.f32 ux 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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(if (<=.f32 maxCos #s(literal 16528283/590295810358705651712 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (.f32 ux 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)))) #s(approx (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos)))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux 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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 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 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 8371831/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 16766311/16777216 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 #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
(if (<=.f32 maxCos #s(literal 708355/1180591620717411303424 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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))))))
(if (<=.f32 ux #s(literal 7516193/2147483648 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #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 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)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #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 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)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9395241/268435456 binary32)) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 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 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9985799/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #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 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9985799/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #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)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9985799/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) #s(literal 1 binary32)))))

Outputs
(.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 (-.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) maxCos)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) maxCos) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(if (<=.f32 maxCos #s(literal 14757395/295147905179352825856 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (.f32 ux 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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) maxCos) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (*.f32 maxCos maxCos)))))))
(if (<=.f32 maxCos #s(literal 16528283/590295810358705651712 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (.f32 ux 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)))) #s(approx (* (- (/ (- 2 (* 2 maxCos)) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos)))) (*.f32 maxCos maxCos)))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))) (*.f32 ux 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)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 ux (*.f32 ux maxCos))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(approx (- (- ux (* maxCos ux)) 1) (-.f32 ux #s(literal 1 binary32))))))) (.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 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 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 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 1048209/1048576 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 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 8371831/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 8371831/8388608 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 ux (.f32 ux maxCos)) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))) #s(literal 16766311/16777216 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 #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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- maxCos 1) 2)) (* ux ux)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))))
(if (<=.f32 maxCos #s(literal 708355/1180591620717411303424 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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))))))
(if (<=.f32 maxCos #s(literal 708355/1180591620717411303424 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) 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) uy) #s(literal 2 binary32))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 #s(approx (- (/ (- 2 ( 2 maxCos)) ux) (pow (- maxCos 1) 2)) (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal -2 binary32) (.f32 (.f32 maxCos maxCos) ux))) (+.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))))))
(if (<=.f32 ux #s(literal 7516193/2147483648 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* 1 (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (* 1 (* (* (+ (* maxCos ux) (- 1 ux)) maxCos) 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) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 7516193/2147483648 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.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) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #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 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)))))))
(if (<=.f32 ux #s(literal 8246337/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #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 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)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9395241/268435456 binary32)) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 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 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9985799/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #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 ux maxCos))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9985799/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #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)))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 9985799/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* ux (* (- (+ (* ux maxCos) 1) ux) maxCos)) (* (- 1 ux) (- (+ (* ux maxCos) 1) ux))) #s(literal 1 binary32)))))

soundness1.8s (13%)

Memory

25.8MiB live, 1 792.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	388
0	109	322
1	425	292
2	3620	292
0	8426	292
0	419	2265
1	1472	2148
2	6557	2130
0	8189	2026
0	86	456
0	139	414
1	557	367
2	4573	367
0	8185	367
0	571	3326
1	1996	3088
0	8401	2906
0	16	75
0	27	54
1	110	54
2	908	54
0	8392	50
0	935	5766
1	3318	5424
0	8511	5174
0	988	6574
1	3539	6034
0	8319	5770
0	66	421
0	110	327
1	421	323
2	3051	323
0	8170	316

Stop Event

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

Compiler

Compiled 4 863 to 2 052 computations (57.8% saved)

preprocess91.0ms (0.7%)

Memory: 1.7MiB live, 190.8MiB allocated
Remove: (negabs uy)
Compiler: Compiled 3 774 to 620 computations (83.6% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

start0.0ms (0%)

analyze351.0ms (2.5%)

sample2.1s (15.2%)

explain341.0ms (2.5%)

preprocess305.0ms (2.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify192.0ms (1.4%)

localize95.0ms (0.7%)

series34.0ms (0.2%)

simplify385.0ms (2.8%)

rewrite241.0ms (1.7%)

eval403.0ms (2.9%)

prune260.0ms (1.9%)

simplify326.0ms (2.4%)

localize338.0ms (2.4%)

series57.0ms (0.4%)

simplify487.0ms (3.5%)

rewrite323.0ms (2.3%)

eval199.0ms (1.4%)

prune115.0ms (0.8%)

simplify155.0ms (1.1%)

localize215.0ms (1.5%)

series181.0ms (1.3%)

simplify291.0ms (2.1%)

rewrite255.0ms (1.8%)

eval252.0ms (1.8%)

prune63.0ms (0.5%)

simplify159.0ms (1.1%)

localize177.0ms (1.3%)

series92.0ms (0.7%)

simplify245.0ms (1.8%)

rewrite201.0ms (1.4%)

eval86.0ms (0.6%)

prune187.0ms (1.4%)

regimes414.0ms (3%)

regimes282.0ms (2%)

regimes347.0ms (2.5%)

regimes24.0ms (0.2%)

regimes64.0ms (0.5%)

regimes221.0ms (1.6%)

regimes565.0ms (4.1%)

regimes84.0ms (0.6%)

regimes81.0ms (0.6%)

regimes77.0ms (0.6%)

regimes159.0ms (1.1%)

regimes141.0ms (1%)

regimes30.0ms (0.2%)

regimes84.0ms (0.6%)

regimes25.0ms (0.2%)

regimes58.0ms (0.4%)

regimes17.0ms (0.1%)

regimes22.0ms (0.2%)

regimes38.0ms (0.3%)

regimes20.0ms (0.1%)

regimes22.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify62.0ms (0.5%)

soundness1.8s (13%)

preprocess91.0ms (0.7%)

end0.0ms (0%)

Profiling