Metrics for UniformSampleCone, y

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze254.0ms (2.4%)

Memory

20.9MiB live, 294.5MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 49 to 28 computations (42.9% saved)

sample2.0s (18.4%)

Memory

124.8MiB live, 2 043.0MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-sub: 377.0ms (30.4% of total)

ival-mult: 222.0ms (17.9% of total)

const: 184.0ms (14.8% of total)

ival-<=: 175.0ms (14.1% of total)

ival-sinu: 134.0ms (10.8% of total)

ival-sqrt: 58.0ms (4.7% of total)

ival-add: 46.0ms (3.7% of total)

ival-and: 30.0ms (2.4% of total)

exact: 10.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain221.0ms (2.1%)

Memory

-112.1MiB live, 339.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
194	6	(0.00011486482981126755 0.0004889756091870368 2.5538411385639392e-9)	5	(0.007046053186058998 0.0002513159124646336 1.5249898485647011e-27)	`(-.f32 #s(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	195	20

Confusion

	Predicted +	Predicted -
+	190	6
-	5	55

Precision

0.9743589743589743

Recall

0.9693877551020408

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	190	6	0
-	5	14	41

Precision?

0.9116279069767442

Recall?

1.0

Freqs

test

number	freq
0	61
1	195

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

54.0ms	506×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 245 to 52 computations (78.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.5% of total)

ival-sinu: 10.0ms (26.8% of total)

ival-sub: 4.0ms (10.7% of total)

ival-add: 3.0ms (8% of total)

ival-sqrt: 3.0ms (8% of total)

ival-pi: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

adjust: 0.0ms (0% of total)

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

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

preprocess436.0ms (4.1%)

Memory

21.1MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.3%	(.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))))))

Status

Accuracy

Program

▶

58.3%

(*.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))))))

Compiler

Compiled 25 to 16 computations (36% saved)

simplify299.0ms (2.8%)

Memory

12.4MiB live, 203.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

localize111.0ms (1%)

Memory

-15.4MiB live, 125.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.32421875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.33431625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
accuracy	0.41634750976844204	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	12.995972312489585	(-.f32 #s(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

60.0ms	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: 38.0ms

ival-mult: 12.0ms (31.5% of total)

ival-sqrt: 11.0ms (28.9% of total)

ival-sinu: 7.0ms (18.4% of total)

ival-sub: 4.0ms (10.5% of total)

ival-add: 2.0ms (5.2% of total)

ival-pi: 1.0ms (2.6% 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)

series20.0ms (0.2%)

Memory

29.3MiB live, 29.3MiB 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
3.0ms	uy	@	inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms	ux	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms	ux	@	-inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	maxCos	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	ux	@	inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify164.0ms (1.5%)

Memory

17.9MiB live, 204.0MiB 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))

rewrite177.0ms (1.7%)

Memory

-26.1MiB live, 248.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 434

Calls

Call 1

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

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

eval81.0ms (0.8%)

Memory: 41.4MiB live, 231.9MiB allocated
Compiler: Compiled 32 574 to 3 359 computations (89.7% saved)

prune106.0ms (1%)

Memory

-24.1MiB live, 170.0MiB allocated

Pruning

39 alts after pruning (39 fresh and 0 done)

	Pruned	Kept	Total
New	571	39	610
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	572	39	611

Accuracy

84.1%

Counts

611 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	3.2%	(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (cos.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
	13.1%	(/.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))
	13.3%	(/.f32 (-.f32 (cos.f32 (-.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))) (cos.f32 (+.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) #s(literal 2 binary32))
▶	8.2%	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
	12.0%	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))) #s(literal 2 binary32))
	58.3%	(.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))))))
	58.0%	(.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))))))
	58.3%	(.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))))))
	58.3%	(.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))))))
	58.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	16.5%	(.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))))
	26.0%	(.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)))))
	8.1%	(.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)))))))
	32.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.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)))))
	19.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	19.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
▶	19.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	18.8%	(.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))))))
	57.8%	(.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) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	3.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (+.f32 (pow.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)))) #s(literal 3 binary32)) (pow.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)))) #s(literal 3 binary32))) (fma.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 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (.f32 (/.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 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (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 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	33.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (sqrt.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	58.3%	(.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)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	19.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	57.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	59.0%	(.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))))))
	57.8%	(.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))))))
	26.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32))))))
	11.3%	(.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))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	17.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) (neg.f32 maxCos))) (.f32 maxCos maxCos))))))
	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))))))
▶	18.5%	(.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))))))
	20.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 maxCos ux) ux) maxCos)))))
	33.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	4.1%	(.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 (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)))))
	21.5%	(.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 (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)))))
	16.8%	(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
	41.0%	(.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))))))
▶	50.8%	(.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 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	49.6%	#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 3 150 to 1 672 computations (46.9% saved)

simplify143.0ms (1.3%)

Memory

13.5MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
cost-diff	0	(+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	0	(/.f32 (+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (+.f32 (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #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))))))
cost-diff	1	(.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))
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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) 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) (.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	65	823
0	115	788
1	201	788
2	396	778
3	1142	773
4	3550	768
5	7956	768
0	8020	759

Stop Event

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

Calls

Call 1

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

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

localize200.0ms (1.9%)

Memory

-10.3MiB live, 275.8MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.43402644637503	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	4.559203525463733	(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	17.799351859442385	(+.f32 (sin.f32 (-.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sin.f32 (fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
accuracy	28.96910947663145	(fma.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.33431625976844204	(.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))))))
accuracy	0.45931625976844204	(.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))
accuracy	2.2536930499315764	(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy	12.995972312489585	(-.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))))
accuracy	0.33431625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
accuracy	0.41634750976844204	(.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))
accuracy	0.43402644637503	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	12.995972312489585	(-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))
accuracy	0.33431625976844204	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.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	0.41634750976844204	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.995972312489585	(-.f32 #s(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	0.33431625976844204	(.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	0.37890625	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
accuracy	0.41634750976844204	(.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	12.995972312489585	(-.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

112.0ms	235×	0	valid
23.0ms	21×	1	valid

Compiler

Compiled 699 to 52 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 31.0ms (33% of total)

ival-sin: 20.0ms (21.3% of total)

ival-sub: 8.0ms (8.5% of total)

ival-add: 8.0ms (8.5% of total)

ival-div: 6.0ms (6.4% of total)

ival-sinu: 5.0ms (5.3% of total)

ival-asin: 4.0ms (4.3% of total)

ival-sqrt: 4.0ms (4.3% of total)

ival-pow2: 3.0ms (3.2% of total)

adjust: 2.0ms (2.1% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series48.0ms (0.4%)

Memory

14.0MiB live, 68.4MiB allocated

Counts

25 → 124

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	uy	@	-inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
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))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
5.0ms	maxCos	@	0	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
4.0ms	ux	@	-inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))
4.0ms	maxCos	@	inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (* uy 2) (PI)) (/ (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) 2) (+ (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (sin (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))))) (sin (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux))))) (- (* (PI) (* 2 uy)) (asin (+ (* maxCos ux) (- 1 ux)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (* -2 maxCos) 2) (+ (* (* (PI) uy) 2) (asin (+ (* maxCos ux) (- 1 ux)))) (asin (+ (* maxCos ux) (- 1 ux))))

simplify182.0ms (1.7%)

Memory

-33.4MiB live, 209.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	594	3534
1	2170	3337
0	8627	3126

Stop Event

1×	iter limit
1×	node limit

Counts

124 → 124

Calls

Call 1

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

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

rewrite187.0ms (1.7%)

Memory

19.1MiB live, 251.7MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	464
0	115	383
1	454	383
2	3282	375
0	8249	375

Stop Event

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

Counts

25 → 681

Calls

Call 1

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

Outputs
(*.f32 (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))) ux)
(*.f32 ux (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 (.f32 ux (/.f32 #s(literal 1 binary32) ux)) (.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32))) (fma.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (fma.f32 (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(+.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(.f32 (sqrt.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (sqrt.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (sqrt.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(*.f32 (sqrt.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(sqrt.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(/.f32 (fabs.f32 (fabs.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (fabs.f32 (fabs.f32 (-.f32 (+.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))))
(/.f32 (fabs.f32 (fabs.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))) (fabs.f32 (fabs.f32 (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(/.f32 (fabs.f32 (fabs.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))) (fabs.f32 (fabs.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux))) (fabs.f32 (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))
(/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))) (fabs.f32 (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fabs.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)))))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 ux) maxCos) #s(literal 3 binary32)))) (fabs.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (neg.f32 ux) maxCos))))))
(/.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (fabs.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (sqrt.f32 (.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 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (.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 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))))
(/.f32 (sqrt.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (sqrt.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(/.f32 (sqrt.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)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 3 binary32)))) (sqrt.f32 (+.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 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 2 binary32)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))))
(/.f32 (sqrt.f32 (pow.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) #s(literal 2 binary32))) (sqrt.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) #s(literal 2 binary32))))
(/.f32 (sqrt.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (sqrt.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux)) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))))
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eval134.0ms (1.3%)

Memory: 17.9MiB live, 203.9MiB allocated
Compiler: Compiled 44 374 to 4 501 computations (89.9% saved)

prune82.0ms (0.8%)

Memory

-9.1MiB live, 138.7MiB allocated

Pruning

45 alts after pruning (45 fresh and 0 done)

	Pruned	Kept	Total
New	872	35	907
Fresh	24	10	34
Picked	5	0	5
Done	0	0	0
Total	901	45	946

Accuracy

94.4%

Counts

946 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	58.3%	(.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))))))
▶	58.9%	(.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)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	20.4%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	58.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	58.9%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #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))))))
	26.0%	(.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)))))
	7.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (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)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))))) #s(literal 2 binary32))) (+.f32 #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 ux ux) (+.f32 (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)) (/.f32 #s(literal 1 binary32) ux)) (neg.f32 ux))))) #s(literal 1 binary32)))))
	19.9%	(.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))))
	20.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	20.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
▶	58.3%	(.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)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	19.3%	(.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 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	57.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	57.8%	(.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))))))
	26.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
	57.7%	(.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))))))
	57.2%	(.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))) (.f32 (+.f32 (/.f32 (-.f32 #s(approx (+ ( -2 maxCos) 2) #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))))))
	58.2%	(.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))) #s(approx (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux))))))
	21.8%	(.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 (-.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)))))
	17.4%	(.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
	41.0%	(.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))))))
▶	13.9%	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	19.9%	(.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))))
	19.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	48.9%	(.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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
	27.1%	(.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))))
	19.9%	(.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)))))
▶	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
	19.9%	(.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))))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	50.7%	(.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) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	51.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	48.5%	(.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)) (*.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))))))))
▶	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	50.3%	(.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))))
	50.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))))))
	33.6%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.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))))

Compiler

Compiled 3 240 to 2 096 computations (35.3% saved)

simplify204.0ms (1.9%)

Memory

-36.9MiB live, 194.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
cost-diff	0	(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
cost-diff	0	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
cost-diff	1	(-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))
cost-diff	1	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	1	(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff	7	(fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
cost-diff	1	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	1	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff	3	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff	6	(.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	703
0	109	725
1	191	628
2	352	616
3	972	616
4	2668	611
5	6253	611
0	8314	598

Stop Event

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

Calls

Call 1

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

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

localize163.0ms (1.5%)

Memory

-8.8MiB live, 180.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.33431625976844204	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
accuracy	0.9530905954955126	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
accuracy	13.410714844840335	(acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.32421875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.33431625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
accuracy	0.41634750976844204	(.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
accuracy	12.995972312489585	(-.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	0.41841643269297185	(fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.43402644637503	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.995972312489585	(-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.41634750976844204	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.43402644637503	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.995972312489585	(-.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	0.37890625	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
accuracy	0.41634750976844204	(.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	0.55078125	(.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
accuracy	12.995972312489585	(-.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

99.0ms	250×	0	valid
4.0ms	6×	1	valid

Compiler

Compiled 618 to 51 computations (91.7% saved)

Precisions

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

ival-mult: 32.0ms (43% of total)

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

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

ival-sqrt: 5.0ms (6.7% of total)

ival-add: 5.0ms (6.7% of total)

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

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

ival-pow2: 3.0ms (4% of total)

ival-div: 2.0ms (2.7% of total)

ival-cbrt: 2.0ms (2.7% of total)

adjust: 1.0ms (1.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series61.0ms (0.6%)

Memory

4.3MiB live, 91.1MiB allocated

Counts

25 → 172

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
11.0ms	uy	@	0	((* (* (* 2 uy) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (* 2 uy) (pow (cbrt (PI)) 2)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))))
10.0ms	ux	@	inf	((* (* (* 2 uy) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (* 2 uy) (pow (cbrt (PI)) 2)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))))
6.0ms	ux	@	0	((* (* (* 2 uy) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (* 2 uy) (pow (cbrt (PI)) 2)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))))
6.0ms	maxCos	@	inf	((* (* (* 2 uy) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (* 2 uy) (pow (cbrt (PI)) 2)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))))
5.0ms	uy	@	inf	((* (* (* 2 uy) (pow (cbrt (PI)) 2)) (cbrt (PI))) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))))) (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (- (- ux (* maxCos ux)) 1) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (sin (* (* uy 2) (PI))) (* (sin (acos (+ (* maxCos ux) (- 1 ux)))) (sin (* (* uy 2) (PI)))) (sin (acos (+ (* maxCos ux) (- 1 ux)))) (acos (+ (* maxCos ux) (- 1 ux))) (+ (* maxCos ux) (- 1 ux)) (* (* 2 uy) (pow (cbrt (PI)) 2)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1)) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))))

simplify181.0ms (1.7%)

Memory

4.0MiB live, 189.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	899	5642
1	3188	5318
0	8509	5059

Stop Event

1×	iter limit
1×	node limit

Counts

172 → 172

Calls

Call 1

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

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

rewrite333.0ms (3.1%)

Memory

31.4MiB live, 408.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	392
0	103	390
1	352	311
2	2593	305
0	10871	303

Stop Event

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

Counts

25 → 848

Calls

Call 1

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

Outputs
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.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 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) uy) (cbrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 uy #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #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))
(fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(*.f32 (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))) ux)
(*.f32 ux (+.f32 maxCos (expm1.f32 (neg.f32 (log.f32 ux)))))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux))))
(fma.f32 ux (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 (.f32 ux (/.f32 #s(literal 1 binary32) ux)) (.f32 ux (-.f32 maxCos #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))) (.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 2 binary32)))) (.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 3 binary32)))) (.f32 (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 2 binary32))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 3 binary32))) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 2 binary32)) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) #s(literal 3 binary32)) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))
(fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) #s(literal 1 binary32))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
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(fma.f32 ux (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) (.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 ux (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) (.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(pow.f32 (exp.f32 (log.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))
(pow.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 2 binary32))
(pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))
(fabs.f32 (-.f32 (/.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
(fabs.f32 (-.f32 (.f32 (neg.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)) ux) maxCos)))
(fabs.f32 (-.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(fabs.f32 (-.f32 (.f32 (neg.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)) maxCos) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 maxCos ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (-.f32 (.f32 (neg.f32 maxCos) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(fabs.f32 (*.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 1 binary32)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (.f32 (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 3 binary32)) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 3 binary32)) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (pow.f32 (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) (*.f32 (neg.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))
(exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) uy) #s(literal 2 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.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 (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)) uy) (cbrt.f32 (PI.f32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (*.f32 uy #s(literal 2 binary32)) (cbrt.f32 (PI.f32))))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 uy #s(literal 2 binary32))))
(.f32 (cbrt.f32 (PI.f32)) (.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #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))
(fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))

eval130.0ms (1.2%)

Memory: -14.1MiB live, 271.3MiB allocated
Compiler: Compiled 46 851 to 4 686 computations (90% saved)

prune65.0ms (0.6%)

Memory

-7.2MiB live, 139.9MiB allocated

Pruning

52 alts after pruning (49 fresh and 3 done)

	Pruned	Kept	Total
New	836	31	867
Fresh	22	18	40
Picked	2	3	5
Done	0	0	0
Total	860	52	912

Accuracy

98.3%

Counts

912 → 52

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.3%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
▶	11.5%	(.f32 (sin.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	58.9%	(.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 #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))))))
	15.8%	(.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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))
	58.3%	(.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))))))
	20.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	20.6%	(.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 #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)))))
	19.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	58.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
▶	20.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	20.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
✓	58.3%	(.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)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	57.2%	(.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)))))))
	57.8%	(.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 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))
	18.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
	57.7%	(.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))))))
	58.2%	(.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))) #s(approx (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux))))))
	21.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	76.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))
	58.9%	(.f32 (sin.f32 (.f32 #s(approx (* (* 2 uy) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) uy) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
✓	12.7%	(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	12.2%	(.f32 (sin.f32 (acos.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	26.8%	(.f32 (cos.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	19.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
	19.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
	36.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.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) ux)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))))
	49.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (+.f32 ux #s(literal 1 binary32))))))
	50.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32))) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal 1 binary32)))))))
	48.9%	(.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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
	24.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
	19.9%	(.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) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	51.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	48.5%	(.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)) (*.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))))))))
✓	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	50.3%	(.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 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos))))))))
▶	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	49.2%	(.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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	50.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))))
	50.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	50.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	19.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (.f32 maxCos maxCos) (*.f32 ux ux))))))
	76.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.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)))))
	65.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux (*.f32 #s(literal 2 binary32) maxCos))) ux))))
▶	76.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	34.0%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Compiler

Compiled 4 093 to 2 589 computations (36.7% saved)

simplify151.0ms (1.4%)

Memory

51.8MiB live, 183.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	610
0	100	578
1	181	576
2	318	576
3	759	576
4	1987	576
5	5249	576
0	8125	569

Stop Event

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

Calls

Call 1

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

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

localize208.0ms (1.9%)

Memory

-13.0MiB live, 229.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.43402644637503	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	4.559203525463733	(asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))
accuracy	6.763646506828216	(sin.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	0.41634750976844204	(.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.43402644637503	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
accuracy	0.43402644637503	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	12.995972312489585	(-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.33431625976844204	(.f32 #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))))))
accuracy	0.41634750976844204	(.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.995972312489585	(-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	0.41634750976844204	(.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
accuracy	0.43402644637503	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	5.597329156590416	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	12.995972312489585	(-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
accuracy	0.32421875	(*.f32 (PI.f32) uy)
accuracy	0.328125	(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
accuracy	0.37013627930532605	(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
accuracy	7.2963381856059195	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))

Samples

104.0ms	253×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 513 to 51 computations (90.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 29.0ms (34.2% of total)

ival-sin: 13.0ms (15.3% of total)

ival-div: 10.0ms (11.8% of total)

ival-sub: 10.0ms (11.8% of total)

ival-sqrt: 9.0ms (10.6% of total)

ival-add: 4.0ms (4.7% of total)

ival-asin: 4.0ms (4.7% of total)

ival-sinu: 4.0ms (4.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory

-20.8MiB live, 67.3MiB allocated

Counts

28 → 131

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	ux	@	inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (* (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (sin (* (* uy 2) (PI)))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2)) (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) uy) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))))
7.0ms	maxCos	@	-inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (* (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (sin (* (* uy 2) (PI)))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2)) (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) uy) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))))
4.0ms	ux	@	-inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (* (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (sin (* (* uy 2) (PI)))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2)) (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) uy) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))))
4.0ms	maxCos	@	inf	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (* (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (sin (* (* uy 2) (PI)))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2)) (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) uy) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))))
4.0ms	ux	@	0	((* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (* (sin (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2))) (sin (* (* uy 2) (PI)))) (+ (asin (+ (* maxCos ux) (- 1 ux))) (/ (PI) 2)) (asin (+ (* maxCos ux) (- 1 ux))) (* (PI) uy) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos))) (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (- 1 ux) (* ux maxCos))) (sin (* (* uy 2) (PI))))

simplify213.0ms (2%)

Memory

14.8MiB live, 198.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	753	4783
1	2708	4553
0	8305	4332

Stop Event

1×	iter limit
1×	node limit

Counts

131 → 131

Calls

Call 1

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

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

rewrite202.0ms (1.9%)

Memory

41.5MiB live, 270.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	417
0	100	360
1	358	333
2	2637	331
0	9724	331

Stop Event

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

Counts

28 → 592

Calls

Call 1

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

Outputs
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) #s(literal 2 binary32))) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos))) (sqrt.f32 ux))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))
(.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))
(.f32 (sqrt.f32 #s(literal 2 binary32)) (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))
(.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))
(.f32 (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 #s(literal 2 binary32)))
(*.f32 (neg.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)))
(sqrt.f32 #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 #s(literal 4 binary32) #s(literal 1/4 binary32))
(pow.f32 #s(literal 2 binary32) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(.f32 (sin.f32 (acos.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) (sin.f32 (acos.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))
(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(.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 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))
(.f32 (.f32 (PI.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 #s(literal 2 binary32) (.f32 (PI.f32) uy))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
(+.f32 (.f32 (PI.f32) uy) (.f32 (PI.f32) uy))
(log.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(.f32 (.f32 #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)) #s(literal 2 binary32)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (PI.f32))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (PI.f32))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 4 binary32))) (cbrt.f32 (PI.f32)) (PI.f32))
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(.f32 (sin.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.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 (.f32 #s(literal 2 binary32) uy) (PI.f32)))
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(log.f32 (pow.f32 (pow.f32 (exp.f32 (PI.f32)) #s(literal 2 binary32)) uy))
(.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 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) uy)))
(.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))
(.f32 (.f32 (PI.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 #s(literal 2 binary32) (.f32 (PI.f32) uy))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (.f32 (PI.f32) uy))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) uy) (.f32 (PI.f32) uy))
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(fma.f32 (PI.f32) uy (*.f32 (PI.f32) uy))
(fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))
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(sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
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(-.f32 (.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
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(-.f32 (.f32 #s(literal 0 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (neg.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #s(literal 1 binary32)))
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(fma.f32 (sin.f32 (asin.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(literal 0 binary32) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (acos.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 0 binary32) (*.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (*.f32 #s(literal 0 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (-.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)))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(sin.f32 (+.f32 (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (+.f32 (asin.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (acos.f32 (neg.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
(sin.f32 (acos.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(sin.f32 (+.f32 (asin.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (acos.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(sin.f32 (acos.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(sin.f32 (+.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
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(cos.f32 (neg.f32 (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(cos.f32 (neg.f32 (asin.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
(cos.f32 (asin.f32 (neg.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))))
(cos.f32 (asin.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))))
(cos.f32 (asin.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(cos.f32 (asin.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(cos.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) (sin.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 #s(literal 0 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))) (.f32 (.f32 (sin.f32 (acos.f32 (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)))))
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(fabs.f32 (*.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))))
(fabs.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(fabs.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(+.f32 (cosh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (sinh.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (.f32 (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))
(+.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))
(exp.f32 (*.f32 (log.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))
(exp.f32 (log.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(neg.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))) (.f32 (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))) (pow.f32 (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (pow.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (pow.f32 (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 (neg.f32 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)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (neg.f32 (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32))) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))
(-.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 #s(literal 1 binary32) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (/.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(-.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (-.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 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) 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 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(sin.f32 (+.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux 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 #s(literal 1 binary32) (fma.f32 maxCos ux 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 (neg.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(cos.f32 (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))
(.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))) (+.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(/.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (+.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))
(fma.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))
(+.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(+.f32 (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 maxCos ux)))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32)))

eval112.0ms (1.1%)

Memory: -14.4MiB live, 230.2MiB allocated
Compiler: Compiled 33 483 to 3 456 computations (89.7% saved)

prune102.0ms (0.9%)

Memory

9.7MiB live, 286.0MiB allocated

Pruning

58 alts after pruning (54 fresh and 4 done)

	Pruned	Kept	Total
New	683	26	709
Fresh	16	28	44
Picked	3	2	5
Done	1	2	3
Total	703	58	761

Accuracy

98.5%

Counts

761 → 58

Alt Table

Click to see full alt table

Status	Accuracy	Program
	44.2%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	12.8%	(.f32 (sin.f32 (/.f32 (-.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (pow.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (acos.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	7.3%	(.f32 (sin.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) uy)) #s(literal 2 binary32))))
✓	11.5%	(.f32 (sin.f32 (+.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	58.9%	(.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 #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))))))
	15.5%	(.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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))))))
	58.3%	(.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))))))
	20.5%	(.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 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	20.5%	(.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 #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)))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	19.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
✓	58.3%	(.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)) (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32))))))
	57.2%	(.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)))))))
	57.8%	(.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 (-.f32 (/.f32 (-.f32 ux #s(literal 1 binary32)) maxCos) ux) maxCos))))))
	57.7%	(.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))))))
	58.2%	(.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))) #s(approx (* (+ (/ (- (+ (* -2 maxCos) 2) (/ 1 ux)) (neg ux)) (pow (- maxCos 1) 2)) (* ux ux)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux))))))
	21.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	76.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))
	58.9%	(.f32 (sin.f32 (.f32 #s(approx (* (* 2 uy) (pow (cbrt (PI)) 2)) (.f32 (.f32 #s(literal 2 binary32) uy) (cbrt.f32 (.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	11.7%	(.f32 (sin.f32 (acos.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	49.5%	(.f32 (sin.f32 (acos.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 #s(literal 2 binary32) uy) (PI.f32))))
	24.8%	(.f32 (cos.f32 (asin.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))
	23.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	51.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	50.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.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 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1 binary32) ux))))))
	19.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
	36.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.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) ux)))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))))
	49.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos) #s(literal 2 binary32))) (+.f32 ux #s(literal 1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))))) (.f32 (+.f32 #s(literal 1 binary32) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos)) (+.f32 ux #s(literal 1 binary32))))))
	49.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	48.9%	(.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 (pow.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))) (/.f32 (pow.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32)) (+.f32 (pow.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))))
	30.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
✓	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	48.4%	(.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 (sqrt.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.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))))))
	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 #s(approx (- 1 (- ux ( maxCos ux))) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	25.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- 1 (- ux ( maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	49.2%	(.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 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	50.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	50.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos 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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
	50.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
	76.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.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)))))
	65.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.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))))
	62.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	57.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	76.8%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos))) (sqrt.f32 ux)))
	76.8%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
	76.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy)) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (.f32 uy (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.5%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
✓	76.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	76.8%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))))))
	65.6%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
	72.9%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) #s(approx (* (* (sqrt 2) (sin (* (* (PI) uy) 2))) (sqrt (* (- 1 maxCos) ux))) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))))
	34.1%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))

Compiler

Compiled 7 814 to 2 341 computations (70% saved)

regimes394.0ms (3.7%)

Memory

-3.7MiB live, 618.5MiB allocated

Counts

132 → 2

Calls

Call 1

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

Outputs

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

(*.f32 (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))))))

Calls

11 calls:

53.0ms	(.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))))))
44.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
38.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
37.0ms	maxCos
33.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
91.3%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
91.3%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
91.3%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
91.3%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.0%	2	`(*.f32 uy #s(literal 2 binary32))`
90.0%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
90.0%	3	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
90.4%	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))))))`
91.3%	2	`ux`
90.0%	2	`uy`
87.1%	2	`maxCos`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes121.0ms (1.1%)

Memory

-14.1MiB live, 179.7MiB allocated

Counts

103 → 2

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	ux
24.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
24.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
22.0ms	(-.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))))
20.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))

Results

Accuracy	Segments	Branch
91.2%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
91.2%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
91.2%	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))))`
91.2%	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)))))`
91.2%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes82.0ms (0.8%)

Memory

3.9MiB live, 145.6MiB allocated

Counts

65 → 2

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	ux
18.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
15.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
14.0ms	(-.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	(sqrt.f32 (-.f32 #s(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
91.2%	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))))`
91.2%	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)))))`
91.2%	2	`ux`
91.2%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
91.2%	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)

regimes82.0ms (0.8%)

Memory

-18.9MiB live, 131.3MiB allocated

Counts

64 → 2

Calls

Call 1

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

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))))))

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

Calls

5 calls:

19.0ms	(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)))))
16.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
15.0ms	ux
15.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
13.0ms	(-.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
91.1%	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))))`
91.1%	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)))))`
91.1%	2	`ux`
91.1%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
91.1%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes113.0ms (1.1%)

Memory

17.2MiB live, 109.1MiB allocated

Counts

63 → 2

Calls

Call 1

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

Calls

5 calls:

39.0ms	ux
29.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
14.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
14.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
13.0ms	(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
90.2%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.2%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.2%	2	`ux`
90.2%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.2%	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)

regimes78.0ms (0.7%)

Memory

-0.7MiB live, 135.2MiB allocated

Counts

59 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

19.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
15.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
14.0ms	ux
14.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
13.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Results

Accuracy	Segments	Branch
90.2%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.2%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.2%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.2%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.2%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes99.0ms (0.9%)

Memory

11.7MiB live, 113.9MiB allocated

Counts

58 → 2

Calls

Call 1

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

Calls

5 calls:

43.0ms	(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)))))
15.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
14.0ms	ux
13.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
12.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Results

Accuracy	Segments	Branch
90.0%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.0%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.0%	2	`ux`
90.0%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.0%	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)

regimes90.0ms (0.8%)

Memory

0.7MiB live, 135.7MiB allocated

Counts

57 → 2

Calls

Call 1

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

Calls

5 calls:

26.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
19.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
16.0ms	(sqrt.f32 (-.f32 #s(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
13.0ms	(.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
90.0%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.0%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.0%	2	`ux`
90.0%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.0%	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)

regimes138.0ms (1.3%)

Memory

-13.9MiB live, 234.0MiB allocated

Counts

56 → 2

Calls

Call 1

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

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

Calls

8 calls:

21.0ms	(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)))))
17.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
17.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
17.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
13.0ms	ux

Results

Accuracy	Segments	Branch
86.6%	2	`(*.f32 uy #s(literal 2 binary32))`
86.6%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
86.6%	2	`uy`
89.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
89.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
89.9%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
89.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
89.9%	2	`ux`

Compiler

Compiled 67 to 52 computations (22.4% saved)

regimes89.0ms (0.8%)

Memory

24.0MiB live, 159.0MiB 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 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (.f32 maxCos maxCos) (*.f32 ux ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- 1 (- ux ( maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.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) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux (*.f32 #s(literal 2 binary32) maxCos))) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (.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) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- 1 (- ux ( maxCos ux))) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (*.f32 (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (-.f32 (+.f32 (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)) (.f32 ux ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos))))))

Outputs

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

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

Calls

7 calls:

15.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
14.0ms	maxCos
14.0ms	(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)))))
12.0ms	ux
11.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
80.4%	2	`maxCos`
83.8%	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))))))`
87.1%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
87.1%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
87.1%	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))))`
87.1%	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)))))`
87.1%	2	`ux`

Compiler

Compiled 84 to 56 computations (33.3% saved)

regimes120.0ms (1.1%)

Memory

17.0MiB live, 262.5MiB allocated

Counts

48 → 2

Calls

Call 1

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

Outputs

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

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

Calls

9 calls:

16.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
16.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
14.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
14.0ms	uy
13.0ms	(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
84.9%	2	`(*.f32 uy #s(literal 2 binary32))`
84.9%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
84.9%	2	`uy`
84.9%	3	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
79.9%	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))))`
79.9%	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)))))`
79.9%	2	`ux`
79.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
79.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`

Compiler

Compiled 73 to 60 computations (17.8% saved)

regimes129.0ms (1.2%)

Memory

-20.5MiB live, 262.6MiB allocated

Counts

43 → 1

Calls

Call 1

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

Calls

11 calls:

14.0ms	ux
13.0ms	(*.f32 uy #s(literal 2 binary32))
13.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
13.0ms	uy
12.0ms	(-.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%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.4%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.4%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
76.4%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
76.4%	1	`ux`
76.4%	1	`maxCos`
76.4%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
76.4%	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))))))`
76.4%	1	`(*.f32 uy #s(literal 2 binary32))`
76.4%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
76.4%	1	`uy`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes129.0ms (1.2%)

Memory

-2.4MiB live, 191.8MiB 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 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (fma.f32 (-.f32 (*.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux))) (.f32 (.f32 maxCos maxCos) (*.f32 ux ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- 1 (- ux ( maxCos ux))) #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) (neg.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32)))) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 ux (fma.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) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 maxCos ux) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) ux (*.f32 #s(literal 2 binary32) maxCos))) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (.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) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (neg.f32 ux) (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)))) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (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 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 maxCos (.f32 ux (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (- 1 (- ux ( maxCos ux))) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) maxCos))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.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 #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 (-.f32 #s(literal 1 binary32) maxCos) ux))))

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

Calls

11 calls:

21.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
19.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
12.0ms	(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 (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))))))
9.0ms	uy

Results

Accuracy	Segments	Branch
70.3%	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))))))`
65.6%	1	`maxCos`
77.0%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
77.0%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
77.0%	2	`ux`
77.0%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
77.0%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
65.6%	1	`(*.f32 uy #s(literal 2 binary32))`
65.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
65.6%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
65.6%	1	`uy`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes30.0ms (0.3%)

Memory

20.1MiB live, 66.2MiB allocated

Counts

23 → 2

Calls

Call 1

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

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

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

Calls

5 calls:

7.0ms	ux
6.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
6.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms	(sqrt.f32 (-.f32 #s(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 #s(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
76.9%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.9%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.9%	2	`ux`
76.9%	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))))`
76.9%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes26.0ms (0.2%)

Memory

-9.3MiB live, 46.5MiB allocated

Counts

19 → 2

Calls

Call 1

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

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

Calls

5 calls:

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	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)))))

Results

Accuracy	Segments	Branch
76.0%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
76.0%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.0%	2	`ux`
76.0%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
76.0%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes18.0ms (0.2%)

Memory

-10.5MiB live, 36.6MiB allocated

Counts

9 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

3.0ms	ux
3.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	(.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))))))
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
65.1%	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))))))`
69.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
69.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
69.6%	2	`ux`
69.6%	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))))`
69.6%	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 83 to 53 computations (36.1% saved)

regimes13.0ms (0.1%)

Memory

27.1MiB live, 27.1MiB allocated

Counts

8 → 2

Calls

Call 1

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

Outputs

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

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.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:

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
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	(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)))))
2.0ms	(-.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
69.6%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
69.6%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
69.6%	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))))`
69.6%	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)))))`
69.6%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes13.0ms (0.1%)

Memory

-20.4MiB live, 26.3MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

3.0ms	ux
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
2.0ms	(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)))))
2.0ms	(-.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
69.5%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
69.5%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
69.5%	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))))`
69.5%	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)))))`
69.5%	2	`ux`

Compiler

Compiled 58 to 37 computations (36.2% saved)

regimes12.0ms (0.1%)

Memory

-15.6MiB live, 31.4MiB 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 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

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

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
57.2%	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))))))`
57.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
57.2%	1	`maxCos`
57.2%	1	`(*.f32 uy #s(literal 2 binary32))`
57.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
57.2%	1	`uy`
57.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
57.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
57.2%	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))))`
57.2%	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)))))`
57.2%	1	`ux`

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	8.505742152919993e-5	8.786375838099048e-5

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998242855072021	0.999829888343811

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998242855072021	0.999829888343811

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9998242855072021	0.999829888343811

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996153712272644	0.9996313452720642

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996153712272644	0.9996313452720642

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996153712272644	0.9996313452720642

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996153712272644	0.9996313452720642

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.00018438228289596736	0.00019232530030421913

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996594190597534	0.9996957778930664

Compiler

Compiled 28 to 21 computations (25% 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	0.001523729064501822	0.0017014206387102604

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013042685575783253	0.013255733996629715

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.013042685575783253	0.013255733996629715

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.019200382754206657	0.01961195468902588

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006922581698745489	0.0069740512408316135

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	2.397721618763171e-5	2.4293485694215633e-5

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.397721618763171e-5	2.4293485694215633e-5

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify64.0ms (0.6%)

Memory

-1.6MiB live, 48.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	191	1599
1	321	1599
2	532	1599
3	1113	1599
4	2305	1599
5	5768	1599

Stop Event

1×	node limit

Calls

Call 1

Inputs
(if (<=.f32 ux #s(literal 5909875/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (.f32 (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)))))))
(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 2096785/2097152 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)))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))))
(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 2096785/2097152 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)))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))
(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 2096785/2097152 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)))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))
(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 16770841/16777216 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 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))
(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 16770841/16777216 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 (-.f32 #s(literal 1 binary32) maxCos) 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 16770841/16777216 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 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) 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 16770841/16777216 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 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(if (<=.f32 ux #s(literal 13056701/68719476736 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))) (.f32 #s(approx (sin ( (* uy 2) (PI))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(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 2096439/2097152 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (.f32 ux ux))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 ux (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) maxCos)))))))
(if (<=.f32 uy #s(literal 13743895/8589934592 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (.f32 ux ux))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.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)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (* (* (+ (* maxCos ux) (- 1 ux)) ux) maxCos) (* (+ (* maxCos ux) (- 1 ux)) (- 1 ux)))) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 (/.f32 maxCos ux) #s(literal 2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 ux ux)))))
(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 885837/67108864 binary32)) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fabs.f32 (.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 1 binary32)) (-.f32 (-.f32 ux (*.f32 maxCos ux)) #s(literal 1 binary32))))))))
(if (<=.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))) #s(literal 885837/67108864 binary32)) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))))
(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 10468983/536870912 binary32)) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 #s(approx ( (sqrt 2) (sin (* (* (PI) uy) 2))) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal 2 binary32)) (PI.f32)) uy) #s(literal 2 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(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 14925011/2147483648 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (.f32 (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 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 ux #s(literal 3298535/137438953472 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (.f32 (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 ux #s(literal 3298535/137438953472 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs
(if (<=.f32 ux #s(literal 5909875/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (.f32 (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)))))))
(if (<=.f32 ux #s(literal 5909875/68719476736 binary32)) #s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (pow.f32 (pow.f32 #s(literal 2 binary32) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)))) (.f32 (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 #s(literal -1 binary32) (-.f32 ux (*.f32 maxCos 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 2096785/2097152 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)))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))))
(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 2096785/2097152 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 #s(literal -1 binary32) (-.f32 ux (.f32 maxCos ux))))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (sqrt.f32 ux) (.f32 (sqrt.f32 #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32))))))))
(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 2096785/2097152 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)))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))
(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 2096785/2097152 binary32)) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal -1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 #s(literal -1 binary32) (-.f32 ux (.f32 maxCos ux))))))) #s(approx ( (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)) (sin.f32 (.f32 (*.f32 #s(literal 2 binary32) uy) (PI.f32)))) (sqrt.f32 #s(literal 2 binary32)))))
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(if (<=.f32 ux #s(literal 3298535/137438953472 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(if (<=.f32 ux #s(literal 3298535/137438953472 binary32)) (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (+.f32 (PI.f32) (PI.f32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- 1 (- ux (* maxCos ux))) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (- (- ux (* maxCos ux)) 1) (- (- ux (* maxCos ux)) 1))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

soundness1.7s (16.1%)

Memory

-1.2MiB live, 1 404.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	392
0	103	390
1	352	311
2	2593	305
0	10871	303
0	65	464
0	115	383
1	454	383
2	3282	375
0	8249	375
0	594	3534
1	2170	3337
0	8627	3126
0	899	5642
1	3188	5318
0	8509	5059
0	16	75
0	27	54
1	110	54
2	908	54
0	8392	50
0	419	2265
1	1472	2148
2	6557	2130
0	8189	2026
0	753	4783
1	2708	4553
0	8305	4332
0	62	417
0	100	360
1	358	333
2	2637	331
0	9724	331

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

Compiler

Compiled 5 105 to 2 017 computations (60.5% saved)

preprocess137.0ms (1.3%)

Memory: -22.8MiB live, 119.8MiB allocated
Remove: (negabs uy)
Compiler: Compiled 3 692 to 660 computations (82.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze254.0ms (2.4%)

sample2.0s (18.4%)

explain221.0ms (2.1%)

preprocess436.0ms (4.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify299.0ms (2.8%)

localize111.0ms (1%)

series20.0ms (0.2%)

simplify164.0ms (1.5%)

rewrite177.0ms (1.7%)

eval81.0ms (0.8%)

prune106.0ms (1%)

simplify143.0ms (1.3%)

localize200.0ms (1.9%)

series48.0ms (0.4%)

simplify182.0ms (1.7%)

rewrite187.0ms (1.7%)

eval134.0ms (1.3%)

prune82.0ms (0.8%)

simplify204.0ms (1.9%)

localize163.0ms (1.5%)

series61.0ms (0.6%)

simplify181.0ms (1.7%)

rewrite333.0ms (3.1%)

eval130.0ms (1.2%)

prune65.0ms (0.6%)

simplify151.0ms (1.4%)

localize208.0ms (1.9%)

series44.0ms (0.4%)

simplify213.0ms (2%)

rewrite202.0ms (1.9%)

eval112.0ms (1.1%)

prune102.0ms (0.9%)

regimes394.0ms (3.7%)

regimes121.0ms (1.1%)

regimes82.0ms (0.8%)

regimes82.0ms (0.8%)

regimes113.0ms (1.1%)

regimes78.0ms (0.7%)

regimes99.0ms (0.9%)

regimes90.0ms (0.8%)

regimes138.0ms (1.3%)

regimes89.0ms (0.8%)

regimes120.0ms (1.1%)

regimes129.0ms (1.2%)

regimes129.0ms (1.2%)

regimes30.0ms (0.3%)

regimes26.0ms (0.2%)

regimes18.0ms (0.2%)

regimes13.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

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%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify64.0ms (0.6%)

soundness1.7s (16.1%)

preprocess137.0ms (1.3%)

end0.0ms (0%)

Profiling