Metrics for UniformSampleCone, x

analyze214.0ms (1.4%)

Memory

5.0MiB live, 273.2MiB 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 30 computations (38.8% saved)

sample2.0s (13.4%)

Memory

121.4MiB live, 2 296.4MiB allocated

Samples

1.5s

8 256×

valid

Precisions

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

ival-mult: 468.0ms (39% of total)

const: 177.0ms (14.7% of total)

ival-sqrt: 140.0ms (11.7% of total)

ival-<=: 117.0ms (9.7% of total)

ival-cos: 102.0ms (8.5% of total)

ival-sub: 74.0ms (6.2% of total)

ival-add: 48.0ms (4% of total)

ival-pi: 32.0ms (2.7% of total)

ival-and: 30.0ms (2.5% of total)

exact: 11.0ms (0.9% of total)

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

Bogosity

preprocess541.0ms (3.7%)

Memory

-20.9MiB live, 736.5MiB allocated

Algorithm

1×	egg-herbie

Rules

21 000×	`lower-fma.f64`
21 000×	`lower-fma.f32`
3 864×	`lower--.f64`
3 860×	`lower--.f32`
2 876×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	242
1	211	228
2	725	228
3	3301	228
4	7188	228
0	16	25
0	27	25
1	51	25
2	132	25
3	537	25
4	2906	23
5	7334	23
0	8216	21

Stop Event

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

Calls

Call 1

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

Inputs

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

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

Outputs

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

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

Symmetry

(abs uy)

explain235.0ms (1.6%)

Memory

26.4MiB live, 336.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
191	8	(0.004502390511333942 1.0726911581215859e-9 2.4268997758319767e-32)	8	(0.013369672000408173 0.16200295090675354 0.00010697954712668434)	`(-.f32 #s(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 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
0	0	-	0	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
0	0	-	0	-	`uy`
0	0	-	0	-	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
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	191	24

Confusion

	Predicted +	Predicted -
+	185	7
-	6	58

Precision

0.9685863874345549

Recall

0.9635416666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	7	0
-	6	17	41

Precision?

0.8930232558139535

Recall?

1.0

Freqs

test

number	freq
0	65
1	191

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

91.0ms

512×

valid

Compiler

Compiled 276 to 68 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 72.0ms

ival-cos: 42.0ms (58.4% of total)

ival-mult: 14.0ms (19.5% of total)

ival-sub: 7.0ms (9.7% of total)

ival-sqrt: 3.0ms (4.2% of total)

ival-pi: 2.0ms (2.8% of total)

ival-add: 2.0ms (2.8% of total)

exact: 1.0ms (1.4% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	57.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Status

Accuracy

Program

▶

57.6%

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

Compiler

Compiled 28 to 16 computations (42.9% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize49.0ms (0.3%)

Memory

-22.8MiB live, 95.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
✓	accuracy	98.9%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
✓	accuracy	98.8%	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
✓	accuracy	58.6%	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Samples

28.0ms

256×

valid

Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 10.0ms (52.2% of total)

ival-cos: 3.0ms (15.7% of total)

ival-sub: 2.0ms (10.4% of total)

ival-sqrt: 2.0ms (10.4% of total)

ival-pi: 1.0ms (5.2% of total)

ival-add: 1.0ms (5.2% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory

35.8MiB live, 35.8MiB allocated

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

Time	Variable		Point	Expression
2.0ms	ux	@	0	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	ux	@	-inf	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	maxCos	@	0	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	maxCos	@	inf	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	uy	@	0	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))

rewrite509.0ms (3.4%)

Memory

-27.9MiB live, 873.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 194×	`lower-fma.f64`
10 194×	`lower-fma.f32`
5 994×	`lower-*.f64`
5 984×	`lower-*.f32`
3 752×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	27	44
1	103	44
2	843	44
0	9219	41

Stop Event

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

Counts

4 → 527

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

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

simplify601.0ms (4.1%)

Memory

29.1MiB live, 617.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 284×	`lower-fma.f64`
11 284×	`lower-fma.f32`
7 082×	`lower-*.f64`
7 082×	`lower-*.f32`
3 240×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	371	2673
1	1199	2528
2	4696	2340
0	9027	2229

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

Calls

Call 1

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

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

eval92.0ms (0.6%)

Memory: -22.3MiB live, 209.2MiB allocated
Compiler: Compiled 37 385 to 3 011 computations (91.9% saved)

prune112.0ms (0.8%)

Memory

-4.2MiB live, 326.3MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	601	22	623
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	602	22	624

Accuracy

99.7%

Counts

624 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	94.9%	(fma.f32 (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 4 binary32))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	96.4%	(fma.f32 ux (.f32 ux (fma.f32 (.f32 ux ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 ux (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 5 binary32)))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 6 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	57.5%	(/.f32 (.f32 (cos.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	54.9%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
	57.6%	(.f32 (pow.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (cos.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32))))))
	57.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (.f32 maxCos #s(literal -2 binary32)) ux (neg.f32 (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
	55.4%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	57.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
▶	56.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	57.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))) (*.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))))
	56.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))
	60.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) #s(literal 1 binary32)))))
▶	44.8%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
	57.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
	57.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 #s(literal 2 binary32) maxCos) ux (-.f32 #s(literal 1 binary32) ux))))))
	55.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
	56.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))))))
▶	99.0%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
▶	99.1%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	76.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
	90.9%	(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
▶	51.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))

Compiler

Compiled 1 882 to 908 computations (51.8% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize237.0ms (1.6%)

Memory

35.0MiB live, 466.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
✓	accuracy	98.9%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
✓	accuracy	98.8%	(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
✓	accuracy	56.8%	(fma.f32 (neg.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))
✓	accuracy	99.6%	(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
✓	accuracy	99.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
✓	accuracy	98.9%	(.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
✓	accuracy	98.9%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
✓	accuracy	99.8%	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
✓	accuracy	99.7%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
✓	accuracy	98.9%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
✓	accuracy	58.7%	(-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))
✓	accuracy	100.0%	(fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32))
✓	accuracy	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
✓	accuracy	55.8%	(fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
✓	accuracy	99.6%	(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
✓	accuracy	99.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
✓	accuracy	99.4%	(*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
✓	accuracy	98.9%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Samples

131.0ms	249×	0	valid
5.0ms	7×	1	valid

Compiler

Compiled 780 to 66 computations (91.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 39.0ms (43.3% of total)

ival-add: 18.0ms (20% of total)

ival-sub: 14.0ms (15.5% of total)

ival-sqrt: 9.0ms (10% of total)

ival-div: 3.0ms (3.3% of total)

ival-cos: 3.0ms (3.3% of total)

ival-neg: 2.0ms (2.2% of total)

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

adjust: 1.0ms (1.1% of total)

exact: 1.0ms (1.1% of total)

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

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

series101.0ms (0.7%)

Memory

-44.8MiB live, 196.5MiB allocated

Counts

17 → 408

Calls

Call 1

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

Outputs
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* ux (+ 2 (* -2 maxCos)))>
#<alt (* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))>
#<alt (* ux (+ 2 (* -1 ux)))>
#<alt (+ (* maxCos (* ux (- (* 2 ux) 2))) (* ux (+ 2 (* -1 ux))))>
#<alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))>
#<alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* ux (- (* 2 ux) 2)) maxCos)))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))>
#<alt (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux))))))>
#<alt (+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 2)))))>
#<alt (+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 4)))))))>
#<alt (+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 2))) (* (pow uy 2) (+ (* -4/45 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 4))))))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))>
#<alt (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI)))))>
#<alt (+ (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))))>
#<alt (+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))>
#<alt (* -1 (* ux (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2))) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* -1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 3))) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- 1 maxCos) 5))))))) ux)) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))>
#<alt (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI)))))>
#<alt (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2))) (sqrt (/ ux (+ 2 (* -1 ux)))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))>
#<alt (+ (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)))) (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))>
#<alt (+ (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2)))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))))))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))>
#<alt (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))>
#<alt (* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))>
#<alt (* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))>
#<alt (sqrt (* ux (+ 2 (* -2 maxCos))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))>
#<alt (* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))>
#<alt (* -1 (* (* ux (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))>
#<alt (* -1 (* ux (+ (* -1/2 (* (/ (* (sqrt -1) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* 1/2 (* (* (sqrt -1) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* -1/16 (* (/ (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- 1 maxCos) 5))))))) ux)) (* 1/2 (* (* (sqrt -1) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))>
#<alt (sqrt (* ux (+ 2 (* -1 ux))))>
#<alt (+ (sqrt (* ux (+ 2 (* -1 ux)))) (* 1/2 (* (* maxCos (- (* 2 ux) 2)) (sqrt (/ ux (+ 2 (* -1 ux)))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))))))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (+ 2 (* -2 ux)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -2 (* ux (- maxCos 1)))>
#<alt (* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))>
#<alt (* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))>
#<alt (* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))>
#<alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))>
#<alt (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))>
#<alt (* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))>
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#<alt (* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
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#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))>
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#<alt (+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- maxCos 1) 3) ux)) (/ 1 (sqrt -2)))) (* -1/8 (* (sqrt (* ux (pow (- maxCos 1) 5))) (/ 1 (pow (sqrt -2) 3)))))))>
#<alt (+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- maxCos 1) 3) ux)) (/ 1 (sqrt -2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- maxCos 1) 5) (pow ux 3))) (/ 1 (pow (sqrt -2) 3)))) (* -1/16 (* (sqrt (/ (pow (- maxCos 1) 7) ux)) (/ 1 (pow (sqrt -2) 5)))))))))>
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#<alt (* -1 (* ux (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))>
#<alt (* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1/2 (* (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))))>
#<alt (* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ (* 1/8 (* (/ (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 2) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))) (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1)))) ux)))))>
#<alt (* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))) (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 2))) (* -1/16 (* (/ (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 3) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))) (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1)))) ux)))))>
#<alt (sqrt (+ 1 (* (- 1 ux) (- ux 1))))>
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#<alt (+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))>
#<alt (+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt 1>
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#<alt (- 1 ux)>
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#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
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#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt -1>
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#<alt (- ux 1)>
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#<alt (* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))>
#<alt (* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))>
#<alt (* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))>
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#<alt (* 2 ux)>
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#<alt (- (* -2 (* maxCos ux)) (* -2 ux))>
#<alt (- (* -2 (* maxCos ux)) (* -2 ux))>
#<alt (* -2 (* maxCos ux))>
#<alt (* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))>
#<alt (* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))>
#<alt (* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))>
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#<alt (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1))>
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#<alt (+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 2) (sqrt -1)))) (* 2/3 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 4) (sqrt -1))))))))>
#<alt (+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 2) (sqrt -1)))) (* (pow uy 2) (+ (* -4/45 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 6) (sqrt -1))))) (* 2/3 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 4) (sqrt -1)))))))))>
#<alt (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))>
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#<alt (+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (pow (sqrt -2) 3)) (sqrt ux))) (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt -2))))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))))>
#<alt (+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt -2) 3)))) (* 1/2 (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (pow (sqrt -2) 5)) (sqrt ux))))) (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt -2))))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))))>
#<alt (* (sqrt (* maxCos ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))>
#<alt (* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))>
#<alt (* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))>
#<alt (* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))>
#<alt (* -1 (* (sqrt (* maxCos ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))>
#<alt (* -1 (* maxCos (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))>
#<alt 1>
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#<alt (* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))>
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#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))>
#<alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))>
#<alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))>
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#<alt (* -1 (/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))>
#<alt (* (pow ux 2) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* -1 (/ (pow maxCos 3) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ 1 (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))))>
#<alt (* (pow ux 2) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (* -1 (/ (+ 1 (* -1 (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))))) ux))) ux))))>
#<alt (* (pow ux 2) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (* -1 (/ (- (+ 1 (+ (* -1 (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))) (+ (* -1 (/ maxCos (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ 4 (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 3))))))) (+ (* -1 (/ (pow maxCos 3) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ (/ 1 (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2))) (/ (* (+ 2 maxCos) (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))))) ux))) ux))))>
#<alt (+ 1 (* -1 (pow (- 1 ux) 2)))>
#<alt (+ 1 (+ (* -1 (* maxCos (- (* ux (- 1 ux)) (* ux (- ux 1))))) (* -1 (pow (- 1 ux) 2))))>
#<alt (+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -1 (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* maxCos (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2)))))))>
#<alt (+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -1 (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* maxCos (+ (* -1 (* maxCos (- (/ (pow ux 3) (- 1 ux)) (+ (* -1 (/ (* ux (* (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2)) (- ux 1))) (pow (- 1 ux) 2))) (/ (* (pow ux 2) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (pow (- 1 ux) 2)))))) (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2))))))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (pow maxCos 2)))))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (+ (* -1 (/ (- (/ (pow (- 1 ux) 3) ux) (+ (* -1 (/ (* (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) ux) (pow (- 1 ux) 2)) (- ux 1)) ux)) (/ (* (pow (- 1 ux) 2) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (pow ux 2)))) (pow maxCos 3))) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (pow maxCos 2))))))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))) (* -1 (/ (* ux (- ux 1)) maxCos))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* -1 (/ (+ 1 (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (pow (- 1 ux) 2))) maxCos))) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (+ (* -1 (/ (pow (- 1 ux) 3) (* maxCos ux))) (pow (- 1 ux) 2)))) (+ (/ (* (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (pow (- 1 ux) 2)) (- ux 1)) (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* maxCos (pow ux 2))))) maxCos))) maxCos)) (* -1 (pow ux 2))))>
#<alt 1>
#<alt (+ 1 (* -2 ux))>
#<alt (+ 1 (* ux (- ux 2)))>
#<alt (+ 1 (* ux (- ux 2)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (- 1 (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))>
#<alt (* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 4)))>
#<alt (+ 1 (* ux (- (+ maxCos (* ux (+ 3 (* -3 (- maxCos 1))))) 4)))>
#<alt (+ 1 (* ux (- (+ maxCos (* ux (+ 3 (+ (* -3 (- maxCos 1)) (* ux (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) 1)))))) 4)))>
#<alt (* (pow ux 4) (* (- maxCos 1) (- (pow maxCos 3) 1)))>
#<alt (* (pow ux 4) (- (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (/ (pow maxCos 3) ux))) (/ 1 ux)))>
#<alt (* (pow ux 4) (- (+ (* -3 (/ (- maxCos 1) (pow ux 2))) (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 3) ux))))) (/ 1 ux)))>
#<alt (* (pow ux 4) (- (+ (* -3 (/ (- maxCos 1) (pow ux 2))) (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (/ 3 (pow ux 2)) (+ (/ maxCos (pow ux 3)) (/ (pow maxCos 3) ux)))))) (+ (/ 1 ux) (* 4 (/ 1 (pow ux 3))))))>
#<alt (* (pow ux 4) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))))>
#<alt (* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))>
#<alt (* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 3 (* 3 (+ 1 (* -1 maxCos)))) ux)) (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))>
#<alt (* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 3 (+ (* -1 (/ (+ 4 (* -1 maxCos)) ux)) (* 3 (+ 1 (* -1 maxCos))))) ux)) (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))>
#<alt (pow (- 1 ux) 4)>
#<alt (+ (* maxCos (* ux (pow (- 1 ux) 3))) (pow (- 1 ux) 4))>
#<alt (+ (* maxCos (+ (* ux (pow (- 1 ux) 3)) (* (pow maxCos 2) (* (pow ux 3) (- 1 ux))))) (pow (- 1 ux) 4))>
#<alt (+ (* maxCos (+ (* ux (pow (- 1 ux) 3)) (* (pow maxCos 2) (+ (* maxCos (pow ux 4)) (* (pow ux 3) (- 1 ux)))))) (pow (- 1 ux) 4))>
#<alt (* (pow maxCos 4) (pow ux 4))>
#<alt (* (pow maxCos 4) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4)))>
#<alt (* (pow maxCos 4) (+ (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3)) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4))))>
#<alt (* (pow maxCos 4) (+ (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3)) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 4) (pow maxCos 4)) (pow ux 4)))))>
#<alt (* (pow maxCos 4) (pow ux 4))>
#<alt (* (pow maxCos 4) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4)))>
#<alt (* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (* (pow ux 3) (- 1 ux))) (* -1 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 2)))) maxCos)) (pow ux 4)))>
#<alt (* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 2))) (* -1 (/ (pow (- 1 ux) 4) (pow maxCos 3))))) maxCos)) (pow ux 4)))>

Calls

102 calls:

Time	Variable		Point	Expression
12.0ms	maxCos	@	inf	(+ (* (neg (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux (* maxCos (* ux (* ux (* maxCos maxCos))))) (* (- 1 ux) (* (- 1 ux) (- 1 ux)))))) (/ 1 (+ (* (* ux maxCos) (+ (- (* ux maxCos) 1) ux)) (* (- 1 ux) (- 1 ux))))) 1)
6.0ms	ux	@	0	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (+ (* 2 maxCos) -2)) 1))))
4.0ms	ux	@	0	(* ux (+ (* maxCos -2) (+ (* (+ (* ux maxCos) (neg ux)) (- 1 maxCos)) 2)))
3.0ms	maxCos	@	inf	(* (cos (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (+ (* 2 maxCos) -2)) 1))))
3.0ms	ux	@	-inf	(+ (* (neg (* (+ (* ux maxCos) (- 1 ux)) (+ (* ux (* maxCos (* ux (* ux (* maxCos maxCos))))) (* (- 1 ux) (* (- 1 ux) (- 1 ux)))))) (/ 1 (+ (* (* ux maxCos) (+ (- (* ux maxCos) 1) ux)) (* (- 1 ux) (- 1 ux))))) 1)

rewrite412.0ms (2.8%)

Memory

29.3MiB live, 599.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 664×	`lower-fma.f64`
4 638×	`lower-fma.f32`
4 180×	`lower-*.f64`
4 148×	`lower-*.f32`
3 006×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	283
0	107	266
1	472	251
2	4308	240
0	8866	239

Stop Event

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

Counts

17 → 400

Calls

Call 1

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

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

simplify475.0ms (3.2%)

Memory

-21.8MiB live, 665.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 702×	`lower-*.f64`
7 702×	`lower-*.f32`
5 414×	`lower-fma.f64`
5 414×	`lower-fma.f32`
3 144×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1645	14086
1	5555	13472
0	8255	12811

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 408

Calls

Call 1

Inputs
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))
(* ux (+ 2 (* -1 ux)))
(+ (* maxCos (* ux (- (* 2 ux) 2))) (* ux (+ 2 (* -1 ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* ux (- (* 2 ux) 2)) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux))))))
(+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 2)))))
(+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 4)))))))
(+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 2))) (* (pow uy 2) (+ (* -4/45 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 4))))))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2))) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* -1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 3))) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- 1 maxCos) 5))))))) ux)) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2))) (sqrt (/ ux (+ 2 (* -1 ux)))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))
(+ (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)))) (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))
(+ (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2)))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))))))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* -1 (* (* ux (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sqrt -1) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* 1/2 (* (* (sqrt -1) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* -1/16 (* (/ (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- 1 maxCos) 5))))))) ux)) (* 1/2 (* (* (sqrt -1) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(sqrt (* ux (+ 2 (* -1 ux))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* 1/2 (* (* maxCos (- (* 2 ux) 2)) (sqrt (/ ux (+ 2 (* -1 ux)))))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))))))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ 2 (* -2 ux)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -2 (* ux (- maxCos 1)))
(* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(+ 1 (* (- 1 ux) (- ux 1)))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (sqrt (* ux (- maxCos 1))) (sqrt -2))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- maxCos 1) 3))) (/ 1 (sqrt -2)))) (* (sqrt (* ux (- maxCos 1))) (sqrt -2)))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- maxCos 1) 3) ux)) (/ 1 (sqrt -2)))) (* -1/8 (* (sqrt (* ux (pow (- maxCos 1) 5))) (/ 1 (pow (sqrt -2) 3)))))))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- maxCos 1) 3) ux)) (/ 1 (sqrt -2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- maxCos 1) 5) (pow ux 3))) (/ 1 (pow (sqrt -2) 3)))) (* -1/16 (* (sqrt (/ (pow (- maxCos 1) 7) ux)) (/ 1 (pow (sqrt -2) 5)))))))))
(* ux (* (sqrt -1) (- maxCos 1)))
(* ux (- (* (sqrt -1) (- maxCos 1)) (/ 1 (* ux (sqrt -1)))))
(* ux (+ (* -1 (/ (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* ux (* (pow (sqrt -1) 3) (- maxCos 1)))))) ux)) (* (sqrt -1) (- maxCos 1))))
(* ux (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (* ux (* (pow (sqrt -1) 5) (pow (- maxCos 1) 2))))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (- maxCos 1))))) (pow ux 2))) (* (sqrt -1) (- maxCos 1))) (/ 1 (* ux (sqrt -1)))))
(* -1 (* ux (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1/2 (* (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))))
(* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ (* 1/8 (* (/ (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 2) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))) (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1)))) ux)))))
(* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))) (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 2))) (* -1/16 (* (/ (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 3) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))) (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1)))) ux)))))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
-1
(- (* -1 (* ux (- maxCos 1))) 1)
(- (* -1 (* ux (- maxCos 1))) 1)
(- (* -1 (* ux (- maxCos 1))) 1)
(* -1 (* ux (- maxCos 1)))
(* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))
(* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))
(* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(- ux 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(- (+ ux (* -1 (* maxCos ux))) 1)
(* -1 (* maxCos ux))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (- ux 1) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- ux 1) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- ux 1) maxCos)))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(* 2 ux)
(- (* -2 (* maxCos ux)) (* -2 ux))
(- (* -2 (* maxCos ux)) (* -2 ux))
(- (* -2 (* maxCos ux)) (* -2 ux))
(* -2 (* maxCos ux))
(* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))
(* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))
(* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))
(* -2 (* maxCos ux))
(* -1 (* maxCos (- (* -2 (/ ux maxCos)) (* -2 ux))))
(* -1 (* maxCos (- (* -2 (/ ux maxCos)) (* -2 ux))))
(* -1 (* maxCos (- (* -2 (/ ux maxCos)) (* -2 ux))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1))
(+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 2) (sqrt -1)))) (* 2/3 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 4) (sqrt -1))))))))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 2) (sqrt -1)))) (* (pow uy 2) (+ (* -4/45 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 6) (sqrt -1))))) (* 2/3 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 4) (sqrt -1)))))))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1))))
(+ (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))) (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt -2)) (sqrt ux)))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (pow (sqrt -2) 3)) (sqrt ux))) (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt -2))))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt -2) 3)))) (* 1/2 (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (pow (sqrt -2) 5)) (sqrt ux))))) (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt -2))))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))))
(* (sqrt (* maxCos ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(* -1 (* (sqrt (* maxCos ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(* -1 (* maxCos (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
1
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(+ (* -2 (* (* ux (* (pow uy 2) (pow (PI) 2))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1)))))) (* (pow uy 2) (+ (* -2 (* (* ux (pow (PI) 2)) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* 2/3 (* (* ux (* (pow uy 2) (pow (PI) 4))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))))))
(+ (* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1)))))) (* (pow uy 2) (+ (* -2 (* (* ux (pow (PI) 2)) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* (pow uy 2) (+ (* -4/45 (* (* ux (* (pow uy 2) (pow (PI) 6))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* 2/3 (* (* ux (pow (PI) 4)) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(* -1 (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))
(+ (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1))))
(+ (* maxCos (+ (* 1/2 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux))))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) 2))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) 2))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) 2))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))
(* ux (sqrt (- (* 2 (/ 1 ux)) 1)))
(+ (* 1/2 (* (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(+ (* maxCos (+ (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* ux (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* ux (- maxCos (+ 2 (* -1 maxCos)))))
(* ux (+ (* -1 (* ux (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))) (* -1 (- maxCos (+ 2 (* -1 maxCos))))))
(* ux (+ (* -1 (- maxCos (+ 2 (* -1 maxCos)))) (* ux (+ (* -1 (* ux (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) (+ 1 (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- maxCos (+ 2 (* -1 maxCos)))) (* (- (* -1 maxCos) 2) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))))))) (* -1 (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))))))
(* ux (+ (* -1 (- maxCos (+ 2 (* -1 maxCos)))) (* ux (+ (* -1 (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2))))) (* ux (+ (* -1 (* ux (- (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2))))) (* (- (* -1 maxCos) 2) (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) (+ 1 (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- maxCos (+ 2 (* -1 maxCos)))) (* (- (* -1 maxCos) 2) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2))))))))))))) (* -1 (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) (+ 1 (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- maxCos (+ 2 (* -1 maxCos)))) (* (- (* -1 maxCos) 2) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))))))))))))
(* -1 (/ (* (pow ux 2) (* (- maxCos 1) (- (pow maxCos 3) 1))) (+ 1 (* maxCos (+ 1 maxCos)))))
(* (pow ux 2) (+ (* -1 (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))) (* -1 (/ (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) ux))))
(* (pow ux 2) (+ (* -1 (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (- (+ (* -3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (- (* -1 maxCos) 2) (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))) (+ 1 (* maxCos (+ 1 maxCos)))))) (pow ux 2))) (+ (* -1 (/ (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) ux)) (/ 1 (pow ux 2))))))
(* (pow ux 2) (+ (* -1 (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (- (+ (* -3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (- (* -1 maxCos) 2) (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))) (+ 1 (* maxCos (+ 1 maxCos)))))) (pow ux 2))) (+ (* -1 (/ (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) ux)) (+ (* -1 (/ (- (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (+ (/ maxCos (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3)))) (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (* 4 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (+ (* -3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (- (* -1 maxCos) 2) (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))) (+ 1 (* maxCos (+ 1 maxCos))))))) (+ 1 (* maxCos (+ 1 maxCos)))) (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))) (pow ux 3))) (/ 1 (pow ux 2)))))))
(* -1 (/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))
(* (pow ux 2) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* -1 (/ (pow maxCos 3) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ 1 (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))))
(* (pow ux 2) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (* -1 (/ (+ 1 (* -1 (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))))) ux))) ux))))
(* (pow ux 2) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (* -1 (/ (- (+ 1 (+ (* -1 (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))) (+ (* -1 (/ maxCos (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ 4 (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 3))))))) (+ (* -1 (/ (pow maxCos 3) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ (/ 1 (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2))) (/ (* (+ 2 maxCos) (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))))) ux))) ux))))
(+ 1 (* -1 (pow (- 1 ux) 2)))
(+ 1 (+ (* -1 (* maxCos (- (* ux (- 1 ux)) (* ux (- ux 1))))) (* -1 (pow (- 1 ux) 2))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -1 (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* maxCos (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2)))))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -1 (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* maxCos (+ (* -1 (* maxCos (- (/ (pow ux 3) (- 1 ux)) (+ (* -1 (/ (* ux (* (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2)) (- ux 1))) (pow (- 1 ux) 2))) (/ (* (pow ux 2) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (pow (- 1 ux) 2)))))) (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2))))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (pow maxCos 2)))))))
(* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (+ (* -1 (/ (- (/ (pow (- 1 ux) 3) ux) (+ (* -1 (/ (* (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) ux) (pow (- 1 ux) 2)) (- ux 1)) ux)) (/ (* (pow (- 1 ux) 2) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (pow ux 2)))) (pow maxCos 3))) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (pow maxCos 2))))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))) (* -1 (/ (* ux (- ux 1)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* -1 (/ (+ 1 (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (pow (- 1 ux) 2))) maxCos))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (+ (* -1 (/ (pow (- 1 ux) 3) (* maxCos ux))) (pow (- 1 ux) 2)))) (+ (/ (* (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (pow (- 1 ux) 2)) (- ux 1)) (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* maxCos (pow ux 2))))) maxCos))) maxCos)) (* -1 (pow ux 2))))
1
(+ 1 (* -2 ux))
(+ 1 (* ux (- ux 2)))
(+ 1 (* ux (- ux 2)))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
1
(+ 1 (* ux (- maxCos 4)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 3 (* -3 (- maxCos 1))))) 4)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 3 (+ (* -3 (- maxCos 1)) (* ux (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) 1)))))) 4)))
(* (pow ux 4) (* (- maxCos 1) (- (pow maxCos 3) 1)))
(* (pow ux 4) (- (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (/ (pow maxCos 3) ux))) (/ 1 ux)))
(* (pow ux 4) (- (+ (* -3 (/ (- maxCos 1) (pow ux 2))) (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 3) ux))))) (/ 1 ux)))
(* (pow ux 4) (- (+ (* -3 (/ (- maxCos 1) (pow ux 2))) (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (/ 3 (pow ux 2)) (+ (/ maxCos (pow ux 3)) (/ (pow maxCos 3) ux)))))) (+ (/ 1 ux) (* 4 (/ 1 (pow ux 3))))))
(* (pow ux 4) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))))
(* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))
(* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 3 (* 3 (+ 1 (* -1 maxCos)))) ux)) (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))
(* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 3 (+ (* -1 (/ (+ 4 (* -1 maxCos)) ux)) (* 3 (+ 1 (* -1 maxCos))))) ux)) (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))
(pow (- 1 ux) 4)
(+ (* maxCos (* ux (pow (- 1 ux) 3))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* ux (pow (- 1 ux) 3)) (* (pow maxCos 2) (* (pow ux 3) (- 1 ux))))) (pow (- 1 ux) 4))
(+ (* maxCos (+ (* ux (pow (- 1 ux) 3)) (* (pow maxCos 2) (+ (* maxCos (pow ux 4)) (* (pow ux 3) (- 1 ux)))))) (pow (- 1 ux) 4))
(* (pow maxCos 4) (pow ux 4))
(* (pow maxCos 4) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4)))
(* (pow maxCos 4) (+ (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3)) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4))))
(* (pow maxCos 4) (+ (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3)) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 4) (pow maxCos 4)) (pow ux 4)))))
(* (pow maxCos 4) (pow ux 4))
(* (pow maxCos 4) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (* (pow ux 3) (- 1 ux))) (* -1 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 2)))) maxCos)) (pow ux 4)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 2))) (* -1 (/ (pow (- 1 ux) 4) (pow maxCos 3))))) maxCos)) (pow ux 4)))

Outputs
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))
(.f32 (.f32 ux ux) (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 #s(literal 2 binary32) ux))))
(* ux (+ 2 (* -1 ux)))
(*.f32 ux (-.f32 #s(literal 2 binary32) ux))
(+ (* maxCos (* ux (- (* 2 ux) 2))) (* ux (+ 2 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(fma.f32 maxCos (fma.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (neg.f32 (.f32 maxCos (.f32 ux ux)))) (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(fma.f32 maxCos (fma.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (neg.f32 (.f32 maxCos (.f32 ux ux)))) (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* ux (- (* 2 ux) 2)) maxCos)))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (neg.f32 ux) (*.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
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(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (neg.f32 ux) (fma.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos) (/.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 maxCos maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (neg.f32 (fma.f32 ux (/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) maxCos) (*.f32 ux ux))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
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(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
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(sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux))))))
(sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))
(+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 2)))))
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(+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 2))) (* 2/3 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 4)))))))
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(+ (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 2))) (* (pow uy 2) (+ (* -4/45 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (* (pow uy 2) (pow (PI) 6)))) (* 2/3 (* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (pow (PI) 4))))))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (+ (* -2 maxCos) (* (- 1 maxCos) (- (* maxCos ux) ux)))))) (cos (* 2 (* uy (PI)))))
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(* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
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(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
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(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
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(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
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(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
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(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
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(* -1 (* (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))
(neg.f32 (.f32 (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))))) ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2))) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))))) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* -1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 3))) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- 1 maxCos) 5))))))) ux)) (* 1/2 (* (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (+ 2 (* -2 maxCos)))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))))) (.f32 #s(literal -1/16 binary32) (/.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 10 binary32))))) ux))) ux)) ux)))
(* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2))) (sqrt (/ ux (+ 2 (* -1 ux)))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))))
(+ (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)))) (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))
(fma.f32 maxCos (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux))) (.f32 maxCos (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (fma.f32 ux (neg.f32 ux) (.f32 (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux)) #s(literal -1/4 binary32))))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))))
(+ (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (PI)))) (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2)))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (* (cos (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))))))))) (* (sqrt (* ux (+ 2 (* -1 ux)))) (cos (* 2 (* uy (PI))))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 maxCos (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 ux (neg.f32 ux) (.f32 (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux)) #s(literal -1/4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (.f32 (-.f32 #s(literal 2 binary32) ux) (.f32 (-.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 2 binary32) ux))))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (fma.f32 ux (neg.f32 ux) (.f32 (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux)) #s(literal -1/4 binary32)))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux)))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 ux maxCos) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 maxCos (fma.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))))
(* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 maxCos maxCos) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))))
(* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* 2 ux) 2)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal -1 binary32))))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 (.f32 ux ux) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal -1 binary32)))) (.f32 (.f32 maxCos maxCos) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 ux (neg.f32 maxCos)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(neg.f32 (.f32 maxCos (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (PI)))) (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 ux))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) #s(literal -1 binary32)))) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) #s(literal -1 binary32)))))) (.f32 (.f32 maxCos (.f32 ux ux)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)))) maxCos)))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (.f32 ux ux) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 ux (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(.f32 ux (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(.f32 ux (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux))) (fma.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 ux (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))))))
(* -1 (* (* ux (sqrt -1)) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))
(.f32 (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos)) (neg.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sqrt -1) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos)))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* 1/2 (* (* (sqrt -1) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))))) (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- 1 maxCos) 3)))))) (* -1/16 (* (/ (* (sqrt -1) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- 1 maxCos) 5))))))) ux)) (* 1/2 (* (* (sqrt -1) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- 1 maxCos))))))) ux)) (* (sqrt -1) (sqrt (* (+ 1 (* -1 maxCos)) (- 1 maxCos)))))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (fabs.f32 (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))))) (.f32 #s(literal -1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 10 binary32)))) (/.f32 (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) ux)))) ux)) ux)))
(sqrt (* ux (+ 2 (* -1 ux))))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* 1/2 (* (* maxCos (- (* 2 ux) 2)) (sqrt (/ ux (+ 2 (* -1 ux)))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux))) (.f32 maxCos (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))))
(fma.f32 maxCos (.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux))) (.f32 maxCos (.f32 (fma.f32 ux (neg.f32 ux) (.f32 (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux)) #s(literal -1/4 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))))))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))))))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (.f32 maxCos (.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 ux (neg.f32 ux) (.f32 (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux)) #s(literal -1/4 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (.f32 (-.f32 #s(literal 2 binary32) ux) (.f32 (-.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 2 binary32) ux)))))))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux))))) (fma.f32 ux (neg.f32 ux) (.f32 (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux)) #s(literal -1/4 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux)))))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(* maxCos (* ux (sqrt -1)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal -1 binary32))))) (.f32 (.f32 maxCos maxCos) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))))))
(* maxCos (+ (* -1/4 (/ (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal -1 binary32))))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 (.f32 ux ux) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal -1 binary32))))) (.f32 (.f32 maxCos maxCos) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(neg.f32 (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ 2 (* -2 ux)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) #s(literal -1 binary32)))) (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) #s(literal -1 binary32)))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32))) #s(literal -1 binary32))))) (.f32 (.f32 maxCos (.f32 ux ux)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))))) maxCos)))) maxCos)))
(* -2 (* ux (- maxCos 1)))
(.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32)))
(* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))
(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32)))))
(* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))
(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32)))))
(* ux (+ (* -2 (- maxCos 1)) (* -1 (* ux (pow (- maxCos 1) 2)))))
(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32)))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* -1 (pow (- maxCos 1) 2))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(.f32 (.f32 ux ux) (-.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) ux)))
(* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(.f32 (.f32 ux ux) (-.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) ux)))
(* (pow ux 2) (+ (* -1 (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux)) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(.f32 (.f32 ux ux) (-.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) ux)))
(+ 1 (* (- 1 ux) (- ux 1)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (+ (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (* (- 1 ux) (- ux 1))))
(+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(+.f32 #s(literal 1 binary32) (fma.f32 maxCos (fma.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (.f32 maxCos (.f32 ux ux)))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))
(+ 1 (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* (- 1 ux) (- ux 1))))
(+.f32 #s(literal 1 binary32) (fma.f32 maxCos (fma.f32 (neg.f32 ux) (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))) (neg.f32 (.f32 maxCos (.f32 ux ux)))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ (* ux (- ux 1)) maxCos))))
(.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (neg.f32 ux) (*.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (+.f32 (fma.f32 ux (neg.f32 ux) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 maxCos maxCos)) (*.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (- ux 1)) maxCos) (/ (* (- 1 ux) (- ux 1)) (pow maxCos 2)))))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (+.f32 (fma.f32 ux (neg.f32 ux) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 maxCos maxCos)) (*.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (-.f32 (neg.f32 (.f32 ux ux)) (/.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (-.f32 (neg.f32 (.f32 ux ux)) (/.f32 (fma.f32 ux (neg.f32 (+.f32 ux #s(literal -1 binary32))) (-.f32 (.f32 ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- ux 1))) (+ (* -1 (/ (+ 1 (* (- 1 ux) (- ux 1))) maxCos)) (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (-.f32 (neg.f32 (.f32 ux ux)) (/.f32 (fma.f32 ux (neg.f32 (+.f32 ux #s(literal -1 binary32))) (-.f32 (.f32 ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) maxCos))) maxCos)))
(* (sqrt (* ux (- maxCos 1))) (sqrt -2))
(.f32 (sqrt.f32 (.f32 ux (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32)))
(+ (* -1/2 (* (sqrt (* (pow ux 3) (pow (- maxCos 1) 3))) (/ 1 (sqrt -2)))) (* (sqrt (* ux (- maxCos 1))) (sqrt -2)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (.f32 (.f32 ux (.f32 ux ux)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))) (sqrt.f32 #s(literal -2 binary32))) (.f32 (sqrt.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- maxCos 1) 3) ux)) (/ 1 (sqrt -2)))) (* -1/8 (* (sqrt (* ux (pow (- maxCos 1) 5))) (/ 1 (pow (sqrt -2) 3)))))))
(fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) ux)) (sqrt.f32 #s(literal -2 binary32))) (.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (.f32 ux (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (.f32 (sqrt.f32 (.f32 ux (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ (pow (- maxCos 1) 3) ux)) (/ 1 (sqrt -2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (pow (- maxCos 1) 5) (pow ux 3))) (/ 1 (pow (sqrt -2) 3)))) (* -1/16 (* (sqrt (/ (pow (- maxCos 1) 7) ux)) (/ 1 (pow (sqrt -2) 5)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (/.f32 (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32)) (.f32 ux (.f32 ux ux)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (.f32 #s(literal -1/16 binary32) (/.f32 (sqrt.f32 (/.f32 (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 7 binary32)) ux)) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) ux)) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32))))
(* ux (* (sqrt -1) (- maxCos 1)))
(.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32))) (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (* (sqrt -1) (- maxCos 1)) (/ 1 (* ux (sqrt -1)))))
(.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))))
(* ux (+ (* -1 (/ (+ (/ 1 (sqrt -1)) (* 1/2 (/ 1 (* ux (* (pow (sqrt -1) 3) (- maxCos 1)))))) ux)) (* (sqrt -1) (- maxCos 1))))
(.f32 ux (-.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 ux (*.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 maxCos #s(literal -1 binary32))))) ux)))
(* ux (- (+ (* -1 (/ (+ (* 1/2 (/ 1 (* ux (* (pow (sqrt -1) 5) (pow (- maxCos 1) 2))))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (- maxCos 1))))) (pow ux 2))) (* (sqrt -1) (- maxCos 1))) (/ 1 (* ux (sqrt -1)))))
(.f32 ux (-.f32 (-.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (.f32 ux (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* ux (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(.f32 (neg.f32 ux) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1/2 (* (/ (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))))
(.f32 (neg.f32 ux) (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) ux)) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ (* 1/8 (* (/ (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 2) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))) (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1)))) ux)))))
(.f32 (neg.f32 ux) (-.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (fma.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))))) (/.f32 (.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))) ux)) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))) ux)))
(* -1 (* ux (+ (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))) (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 2))) (* -1/16 (* (/ (pow (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1) 3) ux) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))) (- (+ maxCos (* -1 (+ 1 (* -1 maxCos)))) 1)))) ux)))))
(.f32 (neg.f32 ux) (-.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (.f32 (.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) (.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32)))))) ux) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (*.f32 (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32)) (+.f32 (-.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos)) #s(literal -1 binary32))))) ux)) ux)))
(sqrt (+ 1 (* (- 1 ux) (- ux 1))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* 1/2 (* (* maxCos (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1)))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 maxCos (.f32 (neg.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1))))))) (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))))))))
(fma.f32 maxCos (.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 ux (neg.f32 ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(+ (sqrt (+ 1 (* (- 1 ux) (- ux 1)))) (* maxCos (+ (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))) (sqrt (/ 1 (pow (+ 1 (* (- 1 ux) (- ux 1))) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 1 (* (- 1 ux) (- ux 1))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (+ 1 (* (- 1 ux) (- ux 1)))))))))))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (fma.f32 ux (neg.f32 ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))))) (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 ux (neg.f32 ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))))) (.f32 #s(literal 1/2 binary32) (.f32 (neg.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (.f32 ux ux)))) (.f32 (.f32 maxCos maxCos) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32))))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- 1 ux))) (* ux (- ux 1))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (.f32 ux ux))))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 (.f32 ux (.f32 ux ux)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (.f32 ux ux)))) (.f32 (.f32 maxCos maxCos) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(neg.f32 (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 maxCos (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 ux ux)))) (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ 1 (* (- 1 ux) (- ux 1))) (* 1/4 (/ (pow (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -1 (* ux (- ux 1))) (* ux (- 1 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 ux ux)))) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 maxCos (.f32 (.f32 ux (.f32 ux ux)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 (.f32 #s(literal 1/2 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 ux ux))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) maxCos)) maxCos)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(neg.f32 (fma.f32 ux (neg.f32 maxCos) ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(neg.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(neg.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(neg.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(neg.f32 (*.f32 maxCos (neg.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(neg.f32 (*.f32 maxCos (neg.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(neg.f32 (*.f32 maxCos (neg.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))))
-1
#s(literal -1 binary32)
(- (* -1 (* ux (- maxCos 1))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(- (* -1 (* ux (- maxCos 1))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(- (* -1 (* ux (- maxCos 1))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(* -1 (* ux (- maxCos 1)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (* -1 (- maxCos 1)) (/ 1 ux)))
(*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (- maxCos 1)))
(fma.f32 ux (neg.f32 maxCos) ux)
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(neg.f32 (*.f32 ux (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))))
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(neg.f32 (*.f32 ux (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))))
(* -1 (* ux (- (+ maxCos (/ 1 ux)) 1)))
(neg.f32 (*.f32 ux (+.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))))
(- ux 1)
(+.f32 ux #s(literal -1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(- (+ ux (* -1 (* maxCos ux))) 1)
(fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32))
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(*.f32 maxCos (+.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(*.f32 maxCos (+.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(* maxCos (- (+ (* -1 ux) (/ ux maxCos)) (/ 1 maxCos)))
(*.f32 maxCos (+.f32 (neg.f32 ux) (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(* -1 (* maxCos ux))
(*.f32 ux (neg.f32 maxCos))
(* -1 (* maxCos (+ ux (* -1 (/ (- ux 1) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (- ux 1) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (- ux 1) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(*.f32 (neg.f32 ux) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(*.f32 (neg.f32 ux) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(*.f32 (neg.f32 ux) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))
(* -1 (* ux (- (* 2 maxCos) 2)))
(*.f32 (neg.f32 ux) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))
(* 2 ux)
(*.f32 #s(literal 2 binary32) ux)
(- (* -2 (* maxCos ux)) (* -2 ux))
(*.f32 #s(literal -2 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(- (* -2 (* maxCos ux)) (* -2 ux))
(*.f32 #s(literal -2 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(- (* -2 (* maxCos ux)) (* -2 ux))
(*.f32 #s(literal -2 binary32) (fma.f32 ux maxCos (neg.f32 ux)))
(* -2 (* maxCos ux))
(.f32 #s(literal -2 binary32) (.f32 ux maxCos))
(* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))
(.f32 maxCos (.f32 #s(literal 2 binary32) (-.f32 (/.f32 ux maxCos) ux)))
(* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))
(.f32 maxCos (.f32 #s(literal 2 binary32) (-.f32 (/.f32 ux maxCos) ux)))
(* maxCos (- (* 2 (/ ux maxCos)) (* 2 ux)))
(.f32 maxCos (.f32 #s(literal 2 binary32) (-.f32 (/.f32 ux maxCos) ux)))
(* -2 (* maxCos ux))
(.f32 #s(literal -2 binary32) (.f32 ux maxCos))
(* -1 (* maxCos (- (* -2 (/ ux maxCos)) (* -2 ux))))
(.f32 (neg.f32 maxCos) (.f32 #s(literal -2 binary32) (-.f32 (/.f32 ux maxCos) ux)))
(* -1 (* maxCos (- (* -2 (/ ux maxCos)) (* -2 ux))))
(.f32 (neg.f32 maxCos) (.f32 #s(literal -2 binary32) (-.f32 (/.f32 ux maxCos) ux)))
(* -1 (* maxCos (- (* -2 (/ ux maxCos)) (* -2 ux))))
(.f32 (neg.f32 maxCos) (.f32 #s(literal -2 binary32) (-.f32 (/.f32 ux maxCos) ux)))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 2) (sqrt -1))))) (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)))
(fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (.f32 (.f32 uy uy) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 2) (sqrt -1)))) (* 2/3 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 4) (sqrt -1))))))))
(fma.f32 (.f32 uy uy) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal 2/3 binary32) (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (.f32 (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32))))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))))
(+ (* (sqrt (* ux (- (* 2 maxCos) 2))) (sqrt -1)) (* (pow uy 2) (+ (* -2 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 2) (sqrt -1)))) (* (pow uy 2) (+ (* -4/45 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow uy 2) (* (pow (PI) 6) (sqrt -1))))) (* 2/3 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (pow (PI) 4) (sqrt -1)))))))))
(fma.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (fma.f32 #s(literal 2/3 binary32) (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal -4/45 binary32) (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (.f32 (.f32 (.f32 uy uy) (pow.f32 (PI.f32) #s(literal 6 binary32))) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (.f32 (.f32 (PI.f32) (PI.f32)) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))
(.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* (sqrt (* ux (- (* 2 maxCos) 2))) (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1))))
(.f32 (.f32 (sqrt.f32 ux) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32))))
(+ (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))) (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (sqrt -2)) (sqrt ux)))
(fma.f32 (sqrt.f32 ux) (.f32 maxCos (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal -2 binary32)))) (.f32 (.f32 (sqrt.f32 ux) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (pow (sqrt -2) 3)) (sqrt ux))) (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt -2))))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))))
(fma.f32 maxCos (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 ux) (/.f32 (.f32 maxCos (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32))))) (/.f32 (.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (.f32 (.f32 (sqrt.f32 ux) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))
(+ (* maxCos (+ (* maxCos (+ (* -1/2 (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt -2) 3)))) (* 1/2 (* (/ (* maxCos (* (cos (* 2 (* uy (PI)))) (sqrt -1))) (pow (sqrt -2) 5)) (sqrt ux))))) (* (sqrt ux) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt -2))))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (* (sqrt -2) (sqrt -1)))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 ux) (/.f32 (.f32 maxCos (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32)))) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))))) (/.f32 (.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -2 binary32)))) (.f32 (.f32 (sqrt.f32 ux) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 #s(literal -2 binary32)))))
(* (sqrt (* maxCos ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))
(.f32 (sqrt.f32 (.f32 ux maxCos)) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))
(* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))
(.f32 maxCos (fma.f32 (sqrt.f32 (/.f32 ux (.f32 maxCos (.f32 maxCos maxCos)))) (neg.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)))))
(* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))))
(.f32 maxCos (fma.f32 (sqrt.f32 (/.f32 ux (.f32 maxCos (.f32 maxCos maxCos)))) (neg.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32)))) (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos))))))
(* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2))))))))
(.f32 maxCos (fma.f32 (sqrt.f32 (/.f32 ux (.f32 maxCos (.f32 maxCos maxCos)))) (neg.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))) (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)))))))
(* -1 (* (sqrt (* maxCos ux)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))))
(neg.f32 (.f32 (sqrt.f32 (.f32 ux maxCos)) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))
(* -1 (* maxCos (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)) (.f32 (sqrt.f32 (/.f32 ux (.f32 maxCos (.f32 maxCos maxCos)))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2)))))))
(.f32 (neg.f32 maxCos) (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)) (.f32 (sqrt.f32 (/.f32 ux (.f32 maxCos (.f32 maxCos maxCos)))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32)))))))
(* -1 (* maxCos (+ (* -1/2 (* (sqrt (/ ux (pow maxCos 5))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 3)))) (+ (* 1/2 (* (sqrt (/ ux (pow maxCos 7))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (pow (sqrt 2) 5)))) (+ (* (sqrt (/ ux maxCos)) (* (cos (* 2 (* uy (PI)))) (* (sqrt -1) (sqrt 2)))) (* (sqrt (/ ux (pow maxCos 3))) (/ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (sqrt 2))))))))
(.f32 (neg.f32 maxCos) (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 2 binary32) (sqrt.f32 #s(literal 2 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (pow.f32 (sqrt.f32 #s(literal 2 binary32)) #s(literal 5 binary32))) (fma.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))) (sqrt.f32 (/.f32 ux maxCos)) (.f32 (sqrt.f32 (/.f32 ux (.f32 maxCos (.f32 maxCos maxCos)))) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 #s(literal 2 binary32))))))))
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (.f32 uy uy) (fma.f32 #s(literal 2/3 binary32) (.f32 (.f32 uy uy) (pow.f32 (PI.f32) #s(literal 4 binary32))) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (.f32 uy uy) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) (fma.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -4/45 binary32) (*.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)))))) #s(literal 1 binary32))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(* ux (+ 2 (* -2 maxCos)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ 2 (+ (* -2 maxCos) (* ux (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux ux))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* (- 1 maxCos) (- maxCos 1)) (* 2 (/ 1 ux)))))
(.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (.f32 (.f32 maxCos (.f32 ux ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 maxCos (fma.f32 maxCos (neg.f32 (.f32 ux ux)) (.f32 (.f32 ux ux) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(fma.f32 maxCos (fma.f32 maxCos (neg.f32 (.f32 ux ux)) (.f32 (.f32 ux ux) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(.f32 (.f32 maxCos maxCos) (fma.f32 (.f32 ux ux) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) (neg.f32 (.f32 ux ux))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (neg.f32 ux) (fma.f32 (.f32 ux ux) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (.f32 maxCos maxCos)) (/.f32 (.f32 (.f32 ux ux) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (neg.f32 ux) (fma.f32 (.f32 ux ux) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (.f32 maxCos maxCos)) (/.f32 (.f32 (.f32 ux ux) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) maxCos))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (neg.f32 (fma.f32 (.f32 ux ux) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) maxCos) (.f32 ux ux))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (-.f32 (neg.f32 (.f32 ux ux)) (/.f32 (fma.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (.f32 (neg.f32 (.f32 ux ux)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) maxCos))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (-.f32 (neg.f32 (.f32 ux ux)) (/.f32 (fma.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (.f32 (neg.f32 (.f32 ux ux)) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) maxCos))) maxCos)))
(* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(+ (* -2 (* (* ux (* (pow uy 2) (pow (PI) 2))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
(+ (* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1)))))) (* (pow uy 2) (+ (* -2 (* (* ux (pow (PI) 2)) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* 2/3 (* (* ux (* (pow uy 2) (pow (PI) 4))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 uy uy) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 ux (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 #s(literal 2/3 binary32) (.f32 (.f32 ux (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))))
(+ (* ux (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1)))))) (* (pow uy 2) (+ (* -2 (* (* ux (pow (PI) 2)) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* (pow uy 2) (+ (* -4/45 (* (* ux (* (pow uy 2) (pow (PI) 6))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))) (* 2/3 (* (* ux (pow (PI) 4)) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))))))))
(fma.f32 (.f32 uy uy) (fma.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 ux (.f32 (PI.f32) (PI.f32)))) (.f32 (.f32 uy uy) (fma.f32 #s(literal 2/3 binary32) (.f32 ux (.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))) (.f32 (.f32 #s(literal -4/45 binary32) (.f32 (.f32 ux (.f32 uy uy)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))))) (.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (+ (* -2 (/ maxCos ux)) (+ (* 2 (/ 1 ux)) (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux))))))
(* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI)))))
(.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))))))
(fma.f32 (.f32 ux ux) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 ux (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (PI)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (cos (* 2 (* uy (PI)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))
(.f32 ux (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(.f32 ux (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))))
(* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))
(.f32 ux (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (fma.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (.f32 ux (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))))))
(* -1 (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(neg.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (* (cos (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)) (* (cos (* 2 (* uy (PI)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(.f32 (neg.f32 ux) (-.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))))) ux)) ux)))
(* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(+ (* 1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 #s(literal 1/2 binary32) (.f32 maxCos (.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 maxCos (fma.f32 #s(literal -1/2 binary32) (.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (* (cos (* 2 (* uy (PI)))) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux))))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 #s(literal 1/4 binary32) (.f32 maxCos (.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 (.f32 ux maxCos) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))))
(* maxCos (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 maxCos maxCos) (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))))))
(* maxCos (+ (* -1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))))
(.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 ux (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32))))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 maxCos maxCos) (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))))))
(* -1 (* maxCos (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (.f32 ux (neg.f32 maxCos)) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* maxCos (+ (* -1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) 2))) (* maxCos (sqrt -1)))) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) 2))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (neg.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))))) (sqrt.f32 #s(literal -1 binary32))))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (cos (* 2 (* uy (PI)))) (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (* (cos (* 2 (* uy (PI)))) (- (* 2 (/ 1 ux)) 2))) (sqrt -1)))) maxCos)) (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 ux (.f32 (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (.f32 maxCos (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)) maxCos)))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (.f32 ux ux) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 ux (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (.f32 #s(literal 1/16 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(.f32 ux (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(.f32 ux (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (fma.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))))) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux))) (fma.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 ux (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))))))
(* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(.f32 (neg.f32 ux) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))
(.f32 (neg.f32 ux) (-.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (fma.f32 (.f32 #s(literal 1/8 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))))) (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) ux)))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))
(.f32 (neg.f32 ux) (-.f32 (sqrt.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))))) ux)) ux)))
(* ux (sqrt (- (* 2 (/ 1 ux)) 1)))
(*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(+ (* 1/2 (* (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 ux maxCos) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 maxCos (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 ux maxCos) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 ux (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 maxCos (fma.f32 maxCos (fma.f32 #s(literal 1/4 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))) (.f32 (.f32 ux maxCos) (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32))))) (.f32 #s(literal -1/2 binary32) (.f32 ux (.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))))) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 ux (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))))) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(* maxCos (* ux (sqrt -1)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (.f32 ux (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (.f32 ux (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 maxCos maxCos) (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))))
(* maxCos (+ (* -1/4 (/ (* ux (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (.f32 ux (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 maxCos maxCos) (sqrt.f32 #s(literal -1 binary32)))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(neg.f32 (.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(neg.f32 (.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal 1/2 binary32) (*.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 ux (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 maxCos (.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sqrt.f32 #s(literal -1 binary32)))) maxCos)) maxCos)))
(* -1 (* ux (- maxCos (+ 2 (* -1 maxCos)))))
(*.f32 (neg.f32 ux) (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos))
(* ux (+ (* -1 (* ux (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))) (* -1 (- maxCos (+ 2 (* -1 maxCos))))))
(.f32 ux (neg.f32 (fma.f32 ux (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))) (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos))))
(* ux (+ (* -1 (- maxCos (+ 2 (* -1 maxCos)))) (* ux (+ (* -1 (* ux (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) (+ 1 (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- maxCos (+ 2 (* -1 maxCos)))) (* (- (* -1 maxCos) 2) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))))))) (* -1 (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))))))
(.f32 ux (fma.f32 ux (neg.f32 (fma.f32 ux (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (*.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))))) (neg.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos))))
(* ux (+ (* -1 (- maxCos (+ 2 (* -1 maxCos)))) (* ux (+ (* -1 (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2))))) (* ux (+ (* -1 (* ux (- (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2))))) (* (- (* -1 maxCos) 2) (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) (+ 1 (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- maxCos (+ 2 (* -1 maxCos)))) (* (- (* -1 maxCos) 2) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2))))))))))))) (* -1 (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) (+ 1 (+ (* (+ 1 (* maxCos (+ 1 maxCos))) (- maxCos (+ 2 (* -1 maxCos)))) (* (- (* -1 maxCos) 2) (- (+ 2 (* -3 (- maxCos 1))) (+ (* maxCos (+ 1 maxCos)) (* (- maxCos (+ 2 (* -1 maxCos))) (- (* -1 maxCos) 2)))))))))))))))
(.f32 ux (fma.f32 ux (fma.f32 ux (neg.f32 (fma.f32 ux (-.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (.f32 (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))))) (neg.f32 (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 2 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) (.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos) (+.f32 (neg.f32 maxCos) #s(literal -2 binary32))))))) (neg.f32 (+.f32 (+.f32 maxCos #s(literal -2 binary32)) maxCos))))
(* -1 (/ (* (pow ux 2) (* (- maxCos 1) (- (pow maxCos 3) 1))) (+ 1 (* maxCos (+ 1 maxCos)))))
(.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))))
(* (pow ux 2) (+ (* -1 (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))) (* -1 (/ (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) ux))))
(.f32 (.f32 ux ux) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (*.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) ux)))
(* (pow ux 2) (+ (* -1 (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (- (+ (* -3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (- (* -1 maxCos) 2) (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))) (+ 1 (* maxCos (+ 1 maxCos)))))) (pow ux 2))) (+ (* -1 (/ (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) ux)) (/ 1 (pow ux 2))))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) ux)) (/.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))))) (.f32 ux ux)))))
(* (pow ux 2) (+ (* -1 (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (* -1 (/ (- (+ (* -3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (- (* -1 maxCos) 2) (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))) (+ 1 (* maxCos (+ 1 maxCos)))))) (pow ux 2))) (+ (* -1 (/ (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))) ux)) (+ (* -1 (/ (- (+ (/ 1 (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (+ (/ maxCos (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 3)))) (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))) (+ (* 4 (/ 1 (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ (* (- (* -1 maxCos) 2) (- (+ (* -3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (* 3 (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))))) (+ (/ (* (- maxCos 1) (- (pow maxCos 3) 1)) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)) (/ (* (- (* -1 maxCos) 2) (- (+ (* 3 (/ (- maxCos 1) (+ 1 (* maxCos (+ 1 maxCos))))) (/ (pow maxCos 3) (+ 1 (* maxCos (+ 1 maxCos))))) (+ (/ 1 (+ 1 (* maxCos (+ 1 maxCos)))) (/ (* (- maxCos 1) (* (- (* -1 maxCos) 2) (- (pow maxCos 3) 1))) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2))))) (+ 1 (* maxCos (+ 1 maxCos))))))) (+ 1 (* maxCos (+ 1 maxCos)))) (/ (pow maxCos 3) (pow (+ 1 (* maxCos (+ 1 maxCos))) 2)))))) (pow ux 3))) (/ 1 (pow ux 2)))))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (/.f32 maxCos (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (+.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 4 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))))) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))))) (.f32 ux (.f32 ux ux)))) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) ux)) (/.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (.f32 (+.f32 (neg.f32 maxCos) #s(literal -2 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))))) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))))) (*.f32 ux ux)))))
(* -1 (/ (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))
(.f32 (neg.f32 (.f32 ux ux)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))
(* (pow ux 2) (- (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* -1 (/ (pow maxCos 3) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ 1 (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (/.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 ux (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos))) (.f32 ux (*.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))))))
(* (pow ux 2) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (* -1 (/ (+ 1 (* -1 (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))))) ux))) ux))))
(.f32 (.f32 ux ux) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 (neg.f32 (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))))) ux)) ux))))
(* (pow ux 2) (+ (* -1 (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (* -1 (/ (- (+ 1 (+ (* -1 (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))) (+ (* -1 (/ maxCos (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ 4 (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 3))))))) (+ (* -1 (/ (pow maxCos 3) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ (/ 1 (* ux (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2))) (/ (* (+ 2 maxCos) (- (+ (* 3 (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (+ (/ (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)) (/ (* (+ 2 maxCos) (- (+ (* -1 (/ (pow maxCos 3) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))) (/ 1 (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1))))))) (/ (* (+ 1 (* -1 maxCos)) (* (+ 1 (* -1 (pow maxCos 3))) (+ 2 maxCos))) (pow (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))) 2)))) (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))) (* ux (+ 1 (* -1 (* maxCos (- (* -1 maxCos) 1)))))))))) ux))) ux))))
(.f32 (.f32 ux ux) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (-.f32 (neg.f32 (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (-.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos)) (.f32 ux (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (/.f32 #s(literal 4 binary32) (.f32 ux (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (/.f32 maxCos (.f32 ux (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))))))) (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 3 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (/.f32 (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (+.f32 #s(literal 2 binary32) maxCos))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))))) (.f32 ux (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux (.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 ux (*.f32 (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 maxCos) (+.f32 (neg.f32 maxCos) #s(literal -1 binary32)) #s(literal 1 binary32))))))) ux)) ux))))
(+ 1 (* -1 (pow (- 1 ux) 2)))
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(+ 1 (+ (* -1 (* maxCos (- (* ux (- 1 ux)) (* ux (- ux 1))))) (* -1 (pow (- 1 ux) 2))))
(+.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -1 (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* maxCos (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2)))))))
(+.f32 #s(literal 1 binary32) (fma.f32 maxCos (fma.f32 maxCos (fma.f32 ux ux (/.f32 (.f32 ux (.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -1 (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* maxCos (+ (* -1 (* maxCos (- (/ (pow ux 3) (- 1 ux)) (+ (* -1 (/ (* ux (* (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2)) (- ux 1))) (pow (- 1 ux) 2))) (/ (* (pow ux 2) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (pow (- 1 ux) 2)))))) (+ (/ (* ux (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1))))) (pow (- 1 ux) 2)) (pow ux 2))))))))
(+.f32 #s(literal 1 binary32) (fma.f32 maxCos (fma.f32 maxCos (fma.f32 (neg.f32 maxCos) (-.f32 (/.f32 (.f32 ux (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (/.f32 (.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux ux (/.f32 (.f32 ux (.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 ux ux) (/.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (fma.f32 ux ux (/.f32 (.f32 ux (.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (-.f32 (neg.f32 (.f32 ux ux)) (/.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (pow maxCos 2)))))))
(.f32 (.f32 maxCos maxCos) (-.f32 (+.f32 (fma.f32 ux (neg.f32 ux) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 ux (.f32 maxCos maxCos))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 maxCos maxCos)))) (/.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (/ (- (* ux (- 1 ux)) (* ux (- ux 1))) maxCos)) (+ (* -1 (/ (- (/ (pow (- 1 ux) 3) ux) (+ (* -1 (/ (* (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) ux) (pow (- 1 ux) 2)) (- ux 1)) ux)) (/ (* (pow (- 1 ux) 2) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (pow ux 2)))) (pow maxCos 3))) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* (- ux 1) (- (* ux (- 1 ux)) (* ux (- ux 1)))) (* (pow maxCos 2) ux)) (/ (pow (- 1 ux) 2) (pow maxCos 2))))))))
(.f32 (.f32 maxCos maxCos) (-.f32 (-.f32 (+.f32 (fma.f32 ux (neg.f32 ux) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (fma.f32 (+.f32 ux #s(literal -1 binary32)) (/.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) (.f32 ux (.f32 maxCos maxCos))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 maxCos maxCos)))) (/.f32 (-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) ux) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (/.f32 (.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) ux)) (neg.f32 (/.f32 (+.f32 ux #s(literal -1 binary32)) ux)) (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 ux ux)))) (.f32 maxCos (.f32 maxCos maxCos)))) (/.f32 (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)))) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux)))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))) (* -1 (/ (* ux (- ux 1)) maxCos))))
(.f32 (.f32 maxCos maxCos) (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (neg.f32 ux) (*.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* -1 (/ (+ 1 (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (pow (- 1 ux) 2))) maxCos))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (neg.f32 (+.f32 (/.f32 (fma.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))) (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 (+.f32 ux #s(literal -1 binary32))) (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) maxCos)) maxCos) (*.f32 ux ux))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* -1 (/ (- (+ 1 (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (+ (* -1 (/ (pow (- 1 ux) 3) (* maxCos ux))) (pow (- 1 ux) 2)))) (+ (/ (* (+ (* -1 (/ (* (- ux 1) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) ux)) (pow (- 1 ux) 2)) (- ux 1)) (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (* -1 (* ux (- 1 ux))) (* -1 (* ux (- ux 1))))) (* maxCos (pow ux 2))))) maxCos))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (neg.f32 (+.f32 (/.f32 (fma.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))) (/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (+.f32 ux #s(literal -1 binary32)) (neg.f32 (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) ux)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 ux maxCos)))) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux ux))) (.f32 (fma.f32 (neg.f32 (+.f32 ux #s(literal -1 binary32))) (/.f32 (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (/.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux maxCos))))))) maxCos)) maxCos) (.f32 ux ux))))
1
#s(literal 1 binary32)
(+ 1 (* -2 ux))
(fma.f32 ux #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* ux (- ux 2)))
(fma.f32 ux (+.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- ux 2)))
(fma.f32 ux (+.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 ux ux))) (/.f32 #s(literal 2 binary32) ux)))
(pow ux 2)
(*.f32 ux ux)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(.f32 (.f32 ux ux) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(.f32 (.f32 ux ux) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 4)))
(fma.f32 ux (+.f32 maxCos #s(literal -4 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 3 (* -3 (- maxCos 1))))) 4)))
(fma.f32 ux (+.f32 maxCos (fma.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32) #s(literal 3 binary32)) #s(literal -4 binary32))) #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 3 (+ (* -3 (- maxCos 1)) (* ux (- (+ (* 3 (- maxCos 1)) (pow maxCos 3)) 1)))))) 4)))
(fma.f32 ux (+.f32 maxCos (fma.f32 ux (+.f32 #s(literal 3 binary32) (fma.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32)))) #s(literal -4 binary32))) #s(literal 1 binary32))
(* (pow ux 4) (* (- maxCos 1) (- (pow maxCos 3) 1)))
(.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (*.f32 maxCos maxCos) #s(literal -1 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (- (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (/ (pow maxCos 3) ux))) (/ 1 ux)))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (-.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) ux)) (/.f32 #s(literal 1 binary32) ux))))
(* (pow ux 4) (- (+ (* -3 (/ (- maxCos 1) (pow ux 2))) (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (/ 3 (pow ux 2)) (/ (pow maxCos 3) ux))))) (/ 1 ux)))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 #s(literal -3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux)) (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (+.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (/.f32 #s(literal 3 binary32) (.f32 ux ux))) (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) ux))) (/.f32 #s(literal 1 binary32) ux))))
(* (pow ux 4) (- (+ (* -3 (/ (- maxCos 1) (pow ux 2))) (+ (* 3 (/ (- maxCos 1) ux)) (+ (* (- maxCos 1) (- (pow maxCos 3) 1)) (+ (/ 3 (pow ux 2)) (+ (/ maxCos (pow ux 3)) (/ (pow maxCos 3) ux)))))) (+ (/ 1 ux) (* 4 (/ 1 (pow ux 3))))))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 #s(literal -3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux)) (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (+.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32)) (/.f32 #s(literal 3 binary32) (.f32 ux ux))) (+.f32 (/.f32 (.f32 maxCos (.f32 maxCos maxCos)) ux) (/.f32 maxCos (.f32 ux (.f32 ux ux)))))) (+.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 4 binary32) (.f32 ux (.f32 ux ux)))))))
(* (pow ux 4) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3)))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (*.f32 maxCos maxCos) #s(literal 1 binary32))) (pow.f32 ux #s(literal 4 binary32)))
(* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (/.f32 (+.f32 (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) ux)))
(* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 3 (* 3 (+ 1 (* -1 maxCos)))) ux)) (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 maxCos (neg.f32 (.f32 maxCos maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32) #s(literal 3 binary32)) ux))) ux)))
(* (pow ux 4) (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 3 (+ (* -1 (/ (+ 4 (* -1 maxCos)) ux)) (* 3 (+ 1 (* -1 maxCos))))) ux)) (+ (* -1 (pow maxCos 3)) (* 3 (+ 1 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (pow maxCos 3))))))
(.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (neg.f32 maxCos) (.f32 maxCos maxCos) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) (-.f32 (fma.f32 maxCos (neg.f32 (.f32 maxCos maxCos)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (/.f32 (+.f32 #s(literal 3 binary32) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (/.f32 (-.f32 #s(literal 4 binary32) maxCos) ux))) ux))) ux)))
(pow (- 1 ux) 4)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))
(+ (* maxCos (* ux (pow (- 1 ux) 3))) (pow (- 1 ux) 4))
(fma.f32 (.f32 ux maxCos) (.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ (* maxCos (+ (* ux (pow (- 1 ux) 3)) (* (pow maxCos 2) (* (pow ux 3) (- 1 ux))))) (pow (- 1 ux) 4))
(fma.f32 maxCos (fma.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 maxCos maxCos) (.f32 (.f32 ux (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(+ (* maxCos (+ (* ux (pow (- 1 ux) 3)) (* (pow maxCos 2) (+ (* maxCos (pow ux 4)) (* (pow ux 3) (- 1 ux)))))) (pow (- 1 ux) 4))
(fma.f32 maxCos (fma.f32 (.f32 maxCos maxCos) (fma.f32 maxCos (pow.f32 ux #s(literal 4 binary32)) (.f32 (.f32 ux (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)))
(* (pow maxCos 4) (pow ux 4))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4)))
(.f32 (pow.f32 maxCos #s(literal 4 binary32)) (fma.f32 (.f32 ux (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 4 binary32))))
(* (pow maxCos 4) (+ (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3)) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4))))
(.f32 (pow.f32 maxCos #s(literal 4 binary32)) (fma.f32 ux (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 maxCos (.f32 maxCos maxCos))) (fma.f32 (.f32 ux (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 4 binary32)))))
(* (pow maxCos 4) (+ (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 3)) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 4) (pow maxCos 4)) (pow ux 4)))))
(.f32 (pow.f32 maxCos #s(literal 4 binary32)) (fma.f32 ux (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 maxCos (.f32 maxCos maxCos))) (+.f32 (fma.f32 (.f32 ux (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 maxCos #s(literal 4 binary32)))) (pow.f32 ux #s(literal 4 binary32)))))
(* (pow maxCos 4) (pow ux 4))
(*.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 maxCos #s(literal 4 binary32)))
(* (pow maxCos 4) (+ (/ (* (pow ux 3) (- 1 ux)) maxCos) (pow ux 4)))
(.f32 (pow.f32 maxCos #s(literal 4 binary32)) (fma.f32 (.f32 ux (*.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 4 binary32))))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (* (pow ux 3) (- 1 ux))) (* -1 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 2)))) maxCos)) (pow ux 4)))
(.f32 (pow.f32 maxCos #s(literal 4 binary32)) (-.f32 (pow.f32 ux #s(literal 4 binary32)) (/.f32 (neg.f32 (fma.f32 (.f32 ux (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux) (/.f32 (.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (*.f32 maxCos maxCos)))) maxCos)))
(* (pow maxCos 4) (+ (* -1 (/ (+ (* -1 (* (pow ux 3) (- 1 ux))) (+ (* -1 (/ (* ux (pow (- 1 ux) 3)) (pow maxCos 2))) (* -1 (/ (pow (- 1 ux) 4) (pow maxCos 3))))) maxCos)) (pow ux 4)))
(.f32 (pow.f32 maxCos #s(literal 4 binary32)) (-.f32 (pow.f32 ux #s(literal 4 binary32)) (/.f32 (fma.f32 (.f32 ux (.f32 ux ux)) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (fma.f32 ux (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 maxCos maxCos)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (.f32 maxCos (.f32 maxCos maxCos)))))) maxCos)))

eval130.0ms (0.9%)

Memory: 24.7MiB live, 328.7MiB allocated
Compiler: Compiled 46 479 to 3 783 computations (91.9% saved)

prune213.0ms (1.4%)

Memory

-12.7MiB live, 518.5MiB allocated

Pruning

54 alts after pruning (54 fresh and 0 done)

	Pruned	Kept	Total
New	967	48	1 015
Fresh	11	6	17
Picked	5	0	5
Done	0	0	0
Total	983	54	1 037

Accuracy

99.9%

Counts

1 037 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.7%	(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
	90.4%	(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
	57.5%	(/.f32 (.f32 (cos.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	54.9%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
	43.1%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
▶	90.5%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
	90.7%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	98.8%	(.f32 (-.f32 (.f32 (cos.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32)))) (.f32 (sin.f32 (.f32 uy (PI.f32))) (sin.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (.f32 (*.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
	99.0%	(.f32 (-.f32 (.f32 (cos.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32)))) (.f32 (sin.f32 (.f32 uy (PI.f32))) (sin.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	92.6%	(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
▶	99.2%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	99.0%	(.f32 (cos.f32 (.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	94.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 #s(literal -1/8 binary32) (.f32 (sqrt.f32 (/.f32 ux (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
	90.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
	74.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (pow.f32 (pow.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos ux) #s(literal 2 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
▶	98.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (sqrt.f32 ux)))
	92.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	55.4%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	57.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
	51.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (fma.f32 ux (+.f32 maxCos (fma.f32 ux (+.f32 #s(literal 3 binary32) (fma.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32)))) #s(literal -4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	55.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (fma.f32 ux (+.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))))
	54.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	98.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
	98.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 ux (.f32 ux ux)))) (.f32 ux ux)) (fma.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))))))
	57.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
	92.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	59.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (+.f32 (/.f32 (fma.f32 ux (fma.f32 ux #s(literal -2 binary32) #s(literal 2 binary32)) (neg.f32 (/.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) maxCos))) maxCos) (*.f32 ux ux))))))
	76.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
	92.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
	73.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
	98.7%	(.f32 ux (.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))))
	81.2%	(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
▶	-0.0%	(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
	40.8%	(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
	81.6%	(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	38.6%	(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	51.2%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
	51.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
	15.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
	49.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
	51.5%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
	52.3%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
	25.5%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
	44.1%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
	51.1%	(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	49.4%	(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	49.3%	(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
	25.5%	(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	37.9%	(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
	50.7%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
	81.4%	(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
	65.1%	(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
	3.2%	(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
▶	81.5%	(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))

Compiler

Compiled 3 100 to 1 790 computations (42.3% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize165.0ms (1.1%)

Memory

13.5MiB live, 365.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sqrt.f32 (*.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
✓	accuracy	100.0%	(sqrt.f32 ux)
✓	accuracy	100.0%	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 ux ux)
✓	accuracy	100.0%	(.f32 #s(literal -2 binary32) (.f32 uy uy))
✓	accuracy	100.0%	(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))
✓	accuracy	6.3%	(PI.f32)
✓	accuracy	100.0%	(*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))
✓	accuracy	100.0%	(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32)))))
✓	accuracy	100.0%	(*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32)))
✓	accuracy	100.0%	(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
✓	accuracy	100.0%	(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
✓	accuracy	100.0%	(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
✓	accuracy	100.0%	(sqrt.f32 #s(literal -1 binary32))
✓	accuracy	100.0%	(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
✓	accuracy	100.0%	(sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
✓	accuracy	100.0%	(cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
✓	accuracy	6.3%	(PI.f32)

Samples

87.0ms

256×

invalid

Compiler

Compiled 484 to 53 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 34.0ms (52.1% of total)

ival-sqrt: 11.0ms (16.9% of total)

ival-add: 8.0ms (12.3% of total)

ival-cos: 8.0ms (12.3% of total)

ival-div: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series55.0ms (0.4%)

Memory

-15.5MiB live, 82.7MiB allocated

Counts

17 → 252

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))>
#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* 1/2 (* (* maxCos (+ (* -2 ux) (* 2 (pow ux 2)))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))>
#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))))>
#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))) (sqrt (/ 1 (pow (+ (* -1 (pow ux 2)) (* 2 ux)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))))))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -2 (pow ux 2)) (* 2 ux)) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (sqrt (* ux (+ 2 (* -2 maxCos))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))>
#<alt (* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))>
#<alt (* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (sqrt -1))>
#<alt (* (sqrt (* ux (- maxCos 1))) (sqrt -2))>
#<alt (+ (* 1/2 (* (sqrt (* (pow ux 3) (- maxCos 1))) (/ (- 1 maxCos) (sqrt -2)))) (* (sqrt (* ux (- maxCos 1))) (sqrt -2)))>
#<alt (+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/8 (* (sqrt (* ux (- maxCos 1))) (/ (pow (- 1 maxCos) 2) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ (- maxCos 1) ux)) (/ (- 1 maxCos) (sqrt -2)))))))>
#<alt (+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ (- maxCos 1) ux)) (/ (- 1 maxCos) (sqrt -2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (- maxCos 1) (pow ux 3))) (/ (pow (- 1 maxCos) 2) (pow (sqrt -2) 3)))) (* 1/16 (* (sqrt (/ (- maxCos 1) ux)) (/ (pow (- 1 maxCos) 3) (pow (sqrt -2) 5)))))))))>
#<alt (* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos)))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos))))) (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos))))) (+ (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (- maxCos 1))))))))))>
#<alt (* -1 (* (* ux (pow (sqrt -1) 2)) (sqrt (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* -1 (* ux (+ (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* -1/2 (* (/ (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos)))) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (- maxCos 1)))))) (* 1/2 (* (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))) (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos))))))) ux))) ux)) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (sqrt (* ux (+ 2 (* -1 ux))))>
#<alt (+ (sqrt (* ux (+ 2 (* -1 ux)))) (* 1/2 (* (* maxCos (- (* 2 ux) 2)) (sqrt (/ ux (+ 2 (* -1 ux)))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))))))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (+ 2 (* -2 ux)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))>
#<alt 2>
#<alt (+ 2 (* -2 maxCos))>
#<alt (+ 2 (* -2 maxCos))>
#<alt (+ 2 (* -2 maxCos))>
#<alt (* -2 maxCos)>
#<alt (* maxCos (- (* 2 (/ 1 maxCos)) 2))>
#<alt (* maxCos (- (* 2 (/ 1 maxCos)) 2))>
#<alt (* maxCos (- (* 2 (/ 1 maxCos)) 2))>
#<alt (* -2 maxCos)>
#<alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))>
#<alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))>
#<alt (* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))>
#<alt (* -2 (* ux (- maxCos 1)))>
#<alt (* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ 2 (* -1 ux)))>
#<alt (+ (* maxCos (* ux (- (* 2 ux) 2))) (* ux (+ 2 (* -1 ux))))>
#<alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))>
#<alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* ux (- (* 2 ux) 2)) maxCos)))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))>
#<alt (* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))>
#<alt -1>
#<alt (- (* 2 maxCos) 1)>
#<alt (- (* maxCos (+ 2 (* -1 maxCos))) 1)>
#<alt (- (* maxCos (+ 2 (* -1 maxCos))) 1)>
#<alt (* -1 (pow maxCos 2))>
#<alt (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) 1))>
#<alt (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))>
#<alt (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))>
#<alt (* -1 (pow maxCos 2))>
#<alt (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) 1))>
#<alt (* (pow maxCos 2) (- (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) 1))>
#<alt (* (pow maxCos 2) (- (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) 1))>
#<alt (sqrt (* ux (+ 2 (* -2 maxCos))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))>
#<alt (* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))>
#<alt (* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))>
#<alt (* ux (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (+ (* 1/2 (* (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))>
#<alt (+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))>
#<alt (+ (* maxCos (+ (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* ux (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (* -2 (pow uy 2))>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (cos (* 2 (* uy (PI))))>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (sqrt ux)>
#<alt (* -1 (* (sqrt ux) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt ux) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt ux) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt ux) (pow (sqrt -1) 2)))>
#<alt (sqrt (+ 2 (* -2 maxCos)))>
#<alt (+ (sqrt (+ 2 (* -2 maxCos))) (* 1/2 (* (* ux (* (- 1 maxCos) (- maxCos 1))) (sqrt (/ 1 (+ 2 (* -2 maxCos)))))))>
#<alt (+ (sqrt (+ 2 (* -2 maxCos))) (* ux (+ (* -1/8 (* (* ux (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))) (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (+ 2 (* -2 maxCos))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* ux (+ (* -1/8 (* (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (* ux (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))) (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 5))))))))))>
#<alt (sqrt (* ux (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos))))))>
#<alt (* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (pow (+ 2 (* -2 maxCos)) 2))) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos)))))))>
#<alt (* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (pow (+ 2 (* -2 maxCos)) 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow ux 7) (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))) (pow (+ 2 (* -2 maxCos)) 3))) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos))))))))>
#<alt (* -1 (* (sqrt (* ux (* (- 1 maxCos) (- maxCos 1)))) (pow (sqrt -1) 2)))>
#<alt (* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2)))))>
#<alt (* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 2)))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ux 7) (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 3)))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2)))))))>
#<alt (sqrt (* ux (- (* 2 (/ 1 ux)) 1)))>
#<alt (+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* 1/2 (* (* maxCos (- 2 (* 2 (/ 1 ux)))) (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))))))>
#<alt (+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))) (- 2 (* 2 (/ 1 ux))))) (* 1/2 (* (* maxCos (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (* ux (- (* 2 (/ 1 ux)) 1)))))))))>
#<alt (+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- 2 (* 2 (/ 1 ux))) (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (* ux (pow (- (* 2 (/ 1 ux)) 1) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (* 2 (/ 1 ux)) 1)))) (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1)))))))))))>
#<alt (* (* maxCos (sqrt -1)) (sqrt ux))>
#<alt (* maxCos (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (* (sqrt ux) (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (+ (* 1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (sqrt -1))) (sqrt (/ 1 ux)))) (* (sqrt ux) (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (* (/ (* (- 2 (* 2 (/ 1 ux))) (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (pow (sqrt -1) 3))) (sqrt (/ 1 ux)))) (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (+ (* 1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (sqrt -1))) (sqrt (/ 1 ux)))) (* (sqrt ux) (sqrt -1))))))>
#<alt (* -1 (* (* maxCos (sqrt -1)) (sqrt ux)))>
#<alt (* -1 (* maxCos (+ (* -1/2 (* (/ (- (* 2 (/ 1 ux)) 2) (* maxCos (sqrt -1))) (sqrt ux))) (* (sqrt ux) (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2)))) (* maxCos (sqrt -1))) (sqrt (/ 1 ux)))) (* 1/2 (* (sqrt ux) (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1))))) maxCos)) (* (sqrt ux) (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (/ (* (- (* 2 (/ 1 ux)) 2) (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2))))) (* maxCos (pow (sqrt -1) 3))) (sqrt (/ 1 ux)))) (* 1/2 (* (sqrt (/ 1 ux)) (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2)))) (sqrt -1))))) maxCos)) (* 1/2 (* (sqrt ux) (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1))))) maxCos)) (* (sqrt ux) (sqrt -1)))))>

Calls

63 calls:

Time	Variable		Point	Expression
17.0ms	maxCos	@	inf	(sqrt (* ux (+ (* (- 1 maxCos) (+ maxCos -1)) (/ (+ (* maxCos -2) 2) ux))))
12.0ms	maxCos	@	-inf	(sqrt (* ux (+ (* (- 1 maxCos) (+ maxCos -1)) (/ (+ (* maxCos -2) 2) ux))))
3.0ms	maxCos	@	0	(* maxCos (* ux (sqrt -1)))
1.0ms	ux	@	-inf	(sqrt (* ux (+ (* (- 1 maxCos) (+ maxCos -1)) (/ (+ (* maxCos -2) 2) ux))))
1.0ms	ux	@	-inf	(sqrt (* ux (+ (* ux (* (+ maxCos -1) (- 1 maxCos))) (* -2 (+ maxCos -1)))))

rewrite373.0ms (2.5%)

Memory

-22.7MiB live, 647.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 302×	`lower-*.f64`
5 270×	`lower-*.f32`
4 232×	`lower-/.f64`
4 230×	`lower-/.f32`
3 454×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	137
0	77	136
1	286	130
2	1872	130
0	8818	130

Stop Event

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

Counts

17 → 457

Calls

Call 1

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

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

simplify857.0ms (5.8%)

Memory

36.3MiB live, 633.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 036×	`lower-fma.f64`
11 036×	`lower-fma.f32`
9 470×	`lower-*.f64`
9 470×	`lower-*.f32`
3 632×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	794	5931
1	2592	5505
0	8541	5208

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

Inputs
1
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))
(+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* 1/2 (* (* maxCos (+ (* -2 ux) (* 2 (pow ux 2)))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))
(+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))))
(+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))) (sqrt (/ 1 (pow (+ (* -1 (pow ux 2)) (* 2 ux)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))))))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -2 (pow ux 2)) (* 2 ux)) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* maxCos (* ux (sqrt -1)))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* ux (sqrt -1))
(* (sqrt (* ux (- maxCos 1))) (sqrt -2))
(+ (* 1/2 (* (sqrt (* (pow ux 3) (- maxCos 1))) (/ (- 1 maxCos) (sqrt -2)))) (* (sqrt (* ux (- maxCos 1))) (sqrt -2)))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/8 (* (sqrt (* ux (- maxCos 1))) (/ (pow (- 1 maxCos) 2) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ (- maxCos 1) ux)) (/ (- 1 maxCos) (sqrt -2)))))))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ (- maxCos 1) ux)) (/ (- 1 maxCos) (sqrt -2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (- maxCos 1) (pow ux 3))) (/ (pow (- 1 maxCos) 2) (pow (sqrt -2) 3)))) (* 1/16 (* (sqrt (/ (- maxCos 1) ux)) (/ (pow (- 1 maxCos) 3) (pow (sqrt -2) 5)))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos)))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos))))) (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos))))) (+ (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (- maxCos 1))))))))))
(* -1 (* (* ux (pow (sqrt -1) 2)) (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(* -1 (* ux (+ (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* -1/2 (* (/ (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos)))) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (- maxCos 1)))))) (* 1/2 (* (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))) (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos))))))) ux))) ux)) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(sqrt (* ux (+ 2 (* -1 ux))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* 1/2 (* (* maxCos (- (* 2 ux) 2)) (sqrt (/ ux (+ 2 (* -1 ux)))))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))))))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ 2 (* -2 ux)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -2 (* ux (- maxCos 1)))
(* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))
(* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))
(* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ 2 (* -1 ux)))
(+ (* maxCos (* ux (- (* 2 ux) 2))) (* ux (+ 2 (* -1 ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* ux (- (* 2 ux) 2)) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
-1
(- (* 2 maxCos) 1)
(- (* maxCos (+ 2 (* -1 maxCos))) 1)
(- (* maxCos (+ 2 (* -1 maxCos))) 1)
(* -1 (pow maxCos 2))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) 1))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(* -1 (pow maxCos 2))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) 1))
(* (pow maxCos 2) (- (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) 1))
(* (pow maxCos 2) (- (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) 1))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))
(* ux (sqrt (- (* 2 (/ 1 ux)) 1)))
(+ (* 1/2 (* (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(+ (* maxCos (+ (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(* maxCos (* ux (sqrt -1)))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1)))))
(* maxCos (+ (* -1/4 (/ (* ux (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(* -1 (* maxCos (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(* -2 (pow uy 2))
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
(pow ux 2)
1
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(cos (* 2 (* uy (PI))))
(sqrt ux)
(sqrt ux)
(sqrt ux)
(sqrt ux)
(sqrt ux)
(sqrt ux)
(sqrt ux)
(sqrt ux)
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(sqrt (+ 2 (* -2 maxCos)))
(+ (sqrt (+ 2 (* -2 maxCos))) (* 1/2 (* (* ux (* (- 1 maxCos) (- maxCos 1))) (sqrt (/ 1 (+ 2 (* -2 maxCos)))))))
(+ (sqrt (+ 2 (* -2 maxCos))) (* ux (+ (* -1/8 (* (* ux (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))) (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(+ (sqrt (+ 2 (* -2 maxCos))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* ux (+ (* -1/8 (* (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (* ux (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))) (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 5))))))))))
(sqrt (* ux (* (- 1 maxCos) (- maxCos 1))))
(* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos))))))
(* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (pow (+ 2 (* -2 maxCos)) 2))) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos)))))))
(* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (pow (+ 2 (* -2 maxCos)) 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow ux 7) (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))) (pow (+ 2 (* -2 maxCos)) 3))) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos))))))))
(* -1 (* (sqrt (* ux (* (- 1 maxCos) (- maxCos 1)))) (pow (sqrt -1) 2)))
(* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2)))))
(* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 2)))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2))))))
(* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ux 7) (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 3)))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2)))))))
(sqrt (* ux (- (* 2 (/ 1 ux)) 1)))
(+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* 1/2 (* (* maxCos (- 2 (* 2 (/ 1 ux)))) (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))))))
(+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))) (- 2 (* 2 (/ 1 ux))))) (* 1/2 (* (* maxCos (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (* ux (- (* 2 (/ 1 ux)) 1)))))))))
(+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- 2 (* 2 (/ 1 ux))) (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (* ux (pow (- (* 2 (/ 1 ux)) 1) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (* 2 (/ 1 ux)) 1)))) (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1)))))))))))
(* (* maxCos (sqrt -1)) (sqrt ux))
(* maxCos (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (* (sqrt ux) (sqrt -1))))
(* maxCos (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (+ (* 1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (sqrt -1))) (sqrt (/ 1 ux)))) (* (sqrt ux) (sqrt -1)))))
(* maxCos (+ (* -1/4 (* (/ (* (- 2 (* 2 (/ 1 ux))) (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (pow (sqrt -1) 3))) (sqrt (/ 1 ux)))) (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (+ (* 1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (sqrt -1))) (sqrt (/ 1 ux)))) (* (sqrt ux) (sqrt -1))))))
(* -1 (* (* maxCos (sqrt -1)) (sqrt ux)))
(* -1 (* maxCos (+ (* -1/2 (* (/ (- (* 2 (/ 1 ux)) 2) (* maxCos (sqrt -1))) (sqrt ux))) (* (sqrt ux) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2)))) (* maxCos (sqrt -1))) (sqrt (/ 1 ux)))) (* 1/2 (* (sqrt ux) (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1))))) maxCos)) (* (sqrt ux) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (/ (* (- (* 2 (/ 1 ux)) 2) (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2))))) (* maxCos (pow (sqrt -1) 3))) (sqrt (/ 1 ux)))) (* 1/2 (* (sqrt (/ 1 ux)) (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2)))) (sqrt -1))))) maxCos)) (* 1/2 (* (sqrt ux) (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1))))) maxCos)) (* (sqrt ux) (sqrt -1)))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (.f32 uy uy) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* 1/2 (* (* maxCos (+ (* -2 ux) (* 2 (pow ux 2)))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))
(fma.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) #s(literal 1/2 binary32))) (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))))
(fma.f32 (.f32 maxCos #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (fma.f32 maxCos (neg.f32 (fma.f32 ux ux (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))) (.f32 ux (-.f32 #s(literal 2 binary32) ux))))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))) (sqrt (/ 1 (pow (+ (* -1 (pow ux 2)) (* 2 ux)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))))))))
(fma.f32 maxCos (fma.f32 (.f32 maxCos (.f32 (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (neg.f32 (fma.f32 ux ux (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))))))) (.f32 #s(literal -1/4 binary32) maxCos) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (fma.f32 maxCos (neg.f32 (fma.f32 ux ux (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))) (.f32 ux (-.f32 #s(literal 2 binary32) ux))))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))))) (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))
(.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (.f32 ux (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))))
(* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (-.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (.f32 ux ux)))) (.f32 ux (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* -1/4 (/ (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(.f32 maxCos (fma.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 (/.f32 (-.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (.f32 ux ux)))) (.f32 (.f32 maxCos maxCos) (.f32 (.f32 ux (.f32 ux ux)) (neg.f32 (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) #s(literal -1/4 binary32)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (-.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (.f32 ux ux)))) (.f32 ux (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(neg.f32 (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(.f32 (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) (neg.f32 (.f32 ux ux))))) (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -2 (pow ux 2)) (* 2 ux)) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))
(.f32 (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) (neg.f32 (.f32 ux ux))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) (neg.f32 (.f32 ux ux)))))) (.f32 (.f32 ux (.f32 ux ux)) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) (neg.f32 maxCos))) (neg.f32 maxCos))) (neg.f32 maxCos))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (.f32 ux ux) (fma.f32 (sqrt.f32 (/.f32 ux (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) #s(literal -1/8 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) #s(literal 1/16 binary32)))) (.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(.f32 ux (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(.f32 ux (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 ux (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux)) #s(literal -1/8 binary32)) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux)) #s(literal -1/8 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 ux (.f32 ux ux))) #s(literal 1/16 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1/2 binary32)))))))
(* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (neg.f32 ux))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))
(.f32 (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux) #s(literal 1/8 binary32)))) ux)) (neg.f32 ux))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))
(neg.f32 (.f32 ux (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) ux) #s(literal 1/16 binary32)))) (neg.f32 ux))) ux))))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* 2 (* uy (PI)))
(.f32 uy (.f32 (PI.f32) #s(literal 2 binary32)))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* ux (sqrt -1))
(*.f32 ux (sqrt.f32 #s(literal -1 binary32)))
(* (sqrt (* ux (- maxCos 1))) (sqrt -2))
(*.f32 (sqrt.f32 (fma.f32 ux maxCos (neg.f32 ux))) (sqrt.f32 #s(literal -2 binary32)))
(+ (* 1/2 (* (sqrt (* (pow ux 3) (- maxCos 1))) (/ (- 1 maxCos) (sqrt -2)))) (* (sqrt (* ux (- maxCos 1))) (sqrt -2)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 ux maxCos (neg.f32 ux)))) (/.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -2 binary32)))) (.f32 (sqrt.f32 (fma.f32 ux maxCos (neg.f32 ux))) (sqrt.f32 #s(literal -2 binary32))))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* -1/8 (* (sqrt (* ux (- maxCos 1))) (/ (pow (- 1 maxCos) 2) (pow (sqrt -2) 3)))) (* 1/2 (* (sqrt (/ (- maxCos 1) ux)) (/ (- 1 maxCos) (sqrt -2)))))))
(fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (sqrt.f32 (fma.f32 ux maxCos (neg.f32 ux))) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -2 binary32))))) (*.f32 (sqrt.f32 (fma.f32 ux maxCos (neg.f32 ux))) (sqrt.f32 #s(literal -2 binary32))))
(+ (* (sqrt (* ux (- maxCos 1))) (sqrt -2)) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ (- maxCos 1) ux)) (/ (- 1 maxCos) (sqrt -2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ (- maxCos 1) (pow ux 3))) (/ (pow (- 1 maxCos) 2) (pow (sqrt -2) 3)))) (* 1/16 (* (sqrt (/ (- maxCos 1) ux)) (/ (pow (- 1 maxCos) 3) (pow (sqrt -2) 5)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux (.f32 ux ux)))) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 #s(literal -2 binary32) (sqrt.f32 #s(literal -2 binary32)))) (.f32 #s(literal 1/16 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))) (pow.f32 (sqrt.f32 #s(literal -2 binary32)) #s(literal 5 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -2 binary32))))) (.f32 (sqrt.f32 (fma.f32 ux maxCos (neg.f32 ux))) (sqrt.f32 #s(literal -2 binary32))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(.f32 ux (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos)))))))
(.f32 ux (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) ux)))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos))))) (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 ux (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos))) (.f32 ux ux))) (-.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) ux))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1 (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos))))) (+ (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 2)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/2 (* (/ (- (/ 1 (- 1 maxCos)) (/ maxCos (- 1 maxCos))) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (- maxCos 1))))))))))
(.f32 ux (fma.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos))) (.f32 ux ux)) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos (-.f32 #s(literal 1 binary32) maxCos))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))))))) (.f32 ux (.f32 ux ux)))) (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) ux))))
(* -1 (* (* ux (pow (sqrt -1) 2)) (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(.f32 ux (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))
(* -1 (* ux (+ (* (/ 1 ux) (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(.f32 ux (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))) ux)))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* -1/2 (* (/ (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos)))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos))))) ux) (neg.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))) (neg.f32 ux)) (neg.f32 ux) (.f32 ux (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (sqrt (/ (- maxCos 1) (- 1 maxCos)))) (* -1 (/ (+ (* -1/2 (* (/ (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos)))) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (- maxCos 1)))))) (* 1/2 (* (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))) (- (/ 1 (* (pow (sqrt -1) 2) (- 1 maxCos))) (/ maxCos (* (pow (sqrt -1) 2) (- 1 maxCos))))))) ux))) ux)) (* (pow (sqrt -1) 2) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (/.f32 (-.f32 (neg.f32 (sqrt.f32 (/.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos))))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))))) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 maxCos (.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) maxCos)))) (neg.f32 ux))))) ux)) (neg.f32 ux)) (neg.f32 ux) (.f32 ux (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt (* ux (+ 2 (* -1 ux))))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* 1/2 (* (* maxCos (- (* 2 ux) 2)) (sqrt (/ ux (+ 2 (* -1 ux)))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 maxCos (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux)))))) (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))))))))
(fma.f32 maxCos (.f32 #s(literal 1/2 binary32) (fma.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (fma.f32 ux (neg.f32 ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux))))) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux)))))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(+ (sqrt (* ux (+ 2 (* -1 ux)))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (+ 2 (* -1 ux)))) (- (* 2 ux) 2))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))) (- (* 2 ux) 2))) (sqrt (/ 1 (* ux (pow (+ 2 (* -1 ux)) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -1 ux))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (* ux (pow (- (* 2 ux) 2) 2)) (+ 2 (* -1 ux))))))))))))
(fma.f32 maxCos (fma.f32 maxCos (.f32 #s(literal -1/4 binary32) (.f32 (.f32 (.f32 maxCos (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) (fma.f32 ux (neg.f32 ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)) (.f32 (-.f32 #s(literal 2 binary32) ux) (-.f32 #s(literal 2 binary32) ux))))))) (.f32 #s(literal 1/2 binary32) (fma.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (fma.f32 ux (neg.f32 ux) (.f32 #s(literal -1/4 binary32) (/.f32 (.f32 ux (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) (-.f32 #s(literal 2 binary32) ux))))) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (sqrt.f32 (/.f32 ux (-.f32 #s(literal 2 binary32) ux))))))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) #s(literal 1/2 binary32) #s(literal -1 binary32)) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))
(* maxCos (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) #s(literal 1 binary32))) (.f32 ux (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* -1/4 (/ (* (- (* 2 ux) 2) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (- (* 2 ux) 2) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (- (* 2 ux) 2) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) #s(literal 1 binary32))) (.f32 ux (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))) #s(literal 1 binary32))))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 (neg.f32 (.f32 ux ux)) (sqrt.f32 #s(literal -1 binary32))))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(neg.f32 (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (+ 2 (* -2 ux)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(.f32 (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 #s(literal -2 binary32) ux) #s(literal -1/2 binary32) #s(literal -1 binary32)) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(neg.f32 (.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) #s(literal 1 binary32)))) (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ 2 (* -2 ux)) (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (* ux (+ 2 (* -1 ux))) (* 1/4 (/ (pow (+ 2 (* -2 ux)) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ 2 (* -2 ux)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(neg.f32 (.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) #s(literal 1 binary32))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32))) #s(literal 1 binary32)))) (.f32 (.f32 ux ux) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))) (neg.f32 maxCos))) maxCos)))))
2
#s(literal 2 binary32)
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(+ 2 (* -2 maxCos))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32)))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32)))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32)))
(* -2 maxCos)
(*.f32 #s(literal -2 binary32) maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(*.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) (neg.f32 maxCos))
(* -2 (* ux (- maxCos 1)))
(*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))
(.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))))
(* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))
(.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))))
(* ux (+ (* -2 (- maxCos 1)) (* ux (* (- 1 maxCos) (- maxCos 1)))))
(.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32))))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(.f32 (.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* (pow ux 2) (* (- 1 maxCos) (- maxCos 1)))
(.f32 (.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* (pow ux 2) (+ (* -2 (/ (- maxCos 1) ux)) (* (- 1 maxCos) (- maxCos 1))))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))
(* ux (+ 2 (* -1 ux)))
(*.f32 ux (-.f32 #s(literal 2 binary32) ux))
(+ (* maxCos (* ux (- (* 2 ux) 2))) (* ux (+ 2 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 ux (.f32 maxCos (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (fma.f32 (.f32 (neg.f32 maxCos) ux) ux (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* ux (- (* 2 ux) 2)))) (* ux (+ 2 (* -1 ux))))
(fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (fma.f32 (.f32 (neg.f32 maxCos) ux) ux (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 maxCos (.f32 (*.f32 (neg.f32 maxCos) ux) ux))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* ux (- (* 2 ux) 2)) maxCos)))
(.f32 maxCos (.f32 maxCos (fma.f32 ux (neg.f32 ux) (/.f32 (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos maxCos))) (neg.f32 (.f32 ux ux))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* ux (+ 2 (* -1 ux))) (pow maxCos 2)) (/ (* ux (- (* 2 ux) 2)) maxCos))))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)) maxCos) (/.f32 (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos maxCos))) (neg.f32 (.f32 ux ux))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 maxCos (.f32 (*.f32 (neg.f32 maxCos) ux) ux))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 2 (* -2 ux))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) maxCos) ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* ux (+ 2 (* -1 ux))) maxCos)) (* ux (+ 2 (* -2 ux)))) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 (neg.f32 ux) (/.f32 (-.f32 #s(literal 2 binary32) ux) maxCos) (*.f32 ux (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)))) maxCos))))
-1
#s(literal -1 binary32)
(- (* 2 maxCos) 1)
(fma.f32 #s(literal 2 binary32) maxCos #s(literal -1 binary32))
(- (* maxCos (+ 2 (* -1 maxCos))) 1)
(fma.f32 maxCos (-.f32 #s(literal 2 binary32) maxCos) #s(literal -1 binary32))
(- (* maxCos (+ 2 (* -1 maxCos))) 1)
(fma.f32 maxCos (-.f32 #s(literal 2 binary32) maxCos) #s(literal -1 binary32))
(* -1 (pow maxCos 2))
(*.f32 maxCos (neg.f32 maxCos))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) 1))
(.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -1 binary32)))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))
(.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 maxCos maxCos)))))
(* -1 (pow maxCos 2))
(*.f32 maxCos (neg.f32 maxCos))
(* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) 1))
(.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -1 binary32)))
(* (pow maxCos 2) (- (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) 1))
(.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)) (neg.f32 maxCos)) #s(literal -1 binary32)))
(* (pow maxCos 2) (- (* -1 (/ (- (/ 1 maxCos) 2) maxCos)) 1))
(.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)) (neg.f32 maxCos)) #s(literal -1 binary32)))
(sqrt (* ux (+ 2 (* -2 maxCos))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))
(fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 (.f32 ux ux) (fma.f32 (sqrt.f32 (/.f32 ux (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) #s(literal -1/8 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 (.f32 ux ux) (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) #s(literal 1/16 binary32)))) (.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))))) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))
(.f32 ux (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))
(.f32 ux (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 ux (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux)) #s(literal -1/8 binary32)) (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))))
(* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (.f32 ux ux)) #s(literal -1/8 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 ux (.f32 ux ux))) #s(literal 1/16 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (*.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) #s(literal 1/2 binary32)))))))
(* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (neg.f32 ux))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))
(.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))))) (neg.f32 ux))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))
(.f32 (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux) #s(literal 1/8 binary32)))) ux)) (neg.f32 ux))
(* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))
(neg.f32 (.f32 ux (-.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)))))) (/.f32 (fma.f32 #s(literal -1/8 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))))) (.f32 (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) ux) #s(literal 1/16 binary32)))) (neg.f32 ux))) ux))))
(* ux (sqrt (- (* 2 (/ 1 ux)) 1)))
(*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(+ (* 1/2 (* (* maxCos (* ux (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (fma.f32 (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) ux) ux) (.f32 (.f32 #s(literal 1/2 binary32) ux) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))))) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(+ (* maxCos (+ (* 1/2 (* (* ux (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (* ux (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* ux (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux)))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))
(fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 maxCos (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (fma.f32 (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) ux) ux) (.f32 (.f32 #s(literal 1/2 binary32) ux) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (.f32 (.f32 maxCos #s(literal 1/4 binary32)) (.f32 (.f32 (fma.f32 (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) ux) ux) (.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (*.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))))))))
(* maxCos (* ux (sqrt -1)))
(.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (* ux (sqrt -1))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 ux (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1)))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (fma.f32 ux (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* -1/4 (/ (* ux (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (* ux (- 2 (* 2 (/ 1 ux)))) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (sqrt -1)))) (* ux (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal 1/2 binary32) (fma.f32 ux (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 ux (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (.f32 #s(literal -1/4 binary32) (.f32 ux (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))))))
(* -1 (* maxCos (* ux (sqrt -1))))
(neg.f32 (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (* maxCos (sqrt -1)))) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (.f32 #s(literal -1/2 binary32) ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(neg.f32 (.f32 maxCos (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 #s(literal 1/2 binary32) ux) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (- (* 2 (/ 1 ux)) 2)) (sqrt -1)))) maxCos)) (* ux (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 ux (.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) ux) (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)))) (-.f32 (/.f32 #s(literal 2 binary32) ux) (fma.f32 #s(literal 1/4 binary32) (/.f32 (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) #s(literal -1 binary32)) #s(literal 1 binary32)))) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) (neg.f32 maxCos))) (neg.f32 maxCos))))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(* -2 (pow uy 2))
(.f32 #s(literal -2 binary32) (.f32 uy uy))
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
(pow ux 2)
(*.f32 ux ux)
1
#s(literal 1 binary32)
(+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))
(fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* 2/3 (* (pow uy 2) (pow (PI) 4))))))
(fma.f32 (.f32 uy uy) (fma.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)) (.f32 (.f32 uy uy) (*.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow uy 2) (+ (* -2 (pow (PI) 2)) (* (pow uy 2) (+ (* -4/45 (* (pow uy 2) (pow (PI) 6))) (* 2/3 (pow (PI) 4)))))))
(fma.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -4/45 binary32)) (.f32 #s(literal 2/3 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(cos (* 2 (* uy (PI))))
(cos.f32 (.f32 uy (.f32 (PI.f32) #s(literal 2 binary32))))
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(sqrt ux)
(sqrt.f32 ux)
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(neg.f32 (neg.f32 (sqrt.f32 ux)))
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(neg.f32 (neg.f32 (sqrt.f32 ux)))
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(neg.f32 (neg.f32 (sqrt.f32 ux)))
(* -1 (* (sqrt ux) (pow (sqrt -1) 2)))
(neg.f32 (neg.f32 (sqrt.f32 ux)))
(sqrt (+ 2 (* -2 maxCos)))
(sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))
(+ (sqrt (+ 2 (* -2 maxCos))) (* 1/2 (* (* ux (* (- 1 maxCos) (- maxCos 1))) (sqrt (/ 1 (+ 2 (* -2 maxCos)))))))
(fma.f32 ux (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1/2 binary32))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(+ (sqrt (+ 2 (* -2 maxCos))) (* ux (+ (* -1/8 (* (* ux (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))) (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))))))
(fma.f32 ux (fma.f32 #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))) (.f32 (.f32 (.f32 #s(literal -1/8 binary32) ux) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(+ (sqrt (+ 2 (* -2 maxCos))) (* ux (+ (* 1/2 (* (sqrt (/ 1 (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1)))) (* ux (+ (* -1/8 (* (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (* ux (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))) (sqrt (/ 1 (pow (+ 2 (* -2 maxCos)) 5))))))))))
(fma.f32 ux (fma.f32 ux (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))) (.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) ux)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (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) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1/2 binary32)))) (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt (* ux (* (- 1 maxCos) (- maxCos 1))))
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))
(* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos))))))
(.f32 ux (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux)))))
(* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (pow (+ 2 (* -2 maxCos)) 2))) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos)))))))
(.f32 ux (fma.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (fma.f32 #s(literal -1/8 binary32) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (pow.f32 ux #s(literal 5 binary32))))))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux))))))
(* ux (+ (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (pow (+ 2 (* -2 maxCos)) 2))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow ux 7) (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))) (pow (+ 2 (* -2 maxCos)) 3))) (* 1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (+ 2 (* -2 maxCos))))))))
(.f32 ux (+.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux))) (fma.f32 #s(literal 1/2 binary32) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 ux #s(literal 7 binary32))))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) #s(literal 1/16 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (pow.f32 ux #s(literal 5 binary32)))))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) #s(literal -1/8 binary32)))))))
(* -1 (* (sqrt (* ux (* (- 1 maxCos) (- maxCos 1)))) (pow (sqrt -1) 2)))
(neg.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))
(* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2)))))
(.f32 (neg.f32 ux) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux))) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))))))
(* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 2)))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2))))))
(neg.f32 (.f32 ux (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (pow.f32 ux #s(literal 5 binary32)))))) (.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) #s(literal -1/8 binary32)))))))
(* -1 (* ux (+ (* -1/2 (* (sqrt (/ 1 (* (pow ux 3) (* (- 1 maxCos) (- maxCos 1))))) (* (pow (sqrt -1) 2) (+ 2 (* -2 maxCos))))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 5) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 2)))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow ux 7) (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))) (* (pow (sqrt -1) 2) (pow (+ 2 (* -2 maxCos)) 3)))) (* (sqrt (/ (* (- 1 maxCos) (- maxCos 1)) ux)) (pow (sqrt -1) 2)))))))
(.f32 (neg.f32 ux) (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32))) (pow.f32 ux #s(literal 7 binary32))))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)))) #s(literal -1/16 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (pow.f32 ux #s(literal 5 binary32)))))) (.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) #s(literal -1/8 binary32)))))))
(sqrt (* ux (- (* 2 (/ 1 ux)) 1)))
(sqrt.f32 (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux)))
(+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* 1/2 (* (* maxCos (- 2 (* 2 (/ 1 ux)))) (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))))))
(fma.f32 (sqrt.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux))))
(+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))) (- 2 (* 2 (/ 1 ux))))) (* 1/2 (* (* maxCos (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (* ux (- (* 2 (/ 1 ux)) 1)))))))))
(fma.f32 maxCos (.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) ux) ux)) (.f32 maxCos (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux))))) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (sqrt.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))) (sqrt.f32 (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux))))
(+ (sqrt (* ux (- (* 2 (/ 1 ux)) 1))) (* maxCos (+ (* 1/2 (* (sqrt (/ ux (- (* 2 (/ 1 ux)) 1))) (- 2 (* 2 (/ 1 ux))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (- 2 (* 2 (/ 1 ux))) (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1)))))) (sqrt (/ 1 (* ux (pow (- (* 2 (/ 1 ux)) 1) 3)))))) (* 1/2 (* (sqrt (/ 1 (* ux (- (* 2 (/ 1 ux)) 1)))) (- (* -1 ux) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (- (* 2 (/ 1 ux)) 1)))))))))))
(fma.f32 maxCos (fma.f32 (.f32 (.f32 #s(literal -1/4 binary32) (.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (neg.f32 (fma.f32 (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) ux) ux))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux)) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))) maxCos) (.f32 #s(literal 1/2 binary32) (fma.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) ux) ux)) (.f32 maxCos (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux))))) (*.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (sqrt.f32 (/.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))))) (sqrt.f32 (fma.f32 ux (/.f32 #s(literal 2 binary32) ux) (neg.f32 ux))))
(* (* maxCos (sqrt -1)) (sqrt ux))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 maxCos (sqrt.f32 ux)))
(* maxCos (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (* (sqrt ux) (sqrt -1))))
(.f32 maxCos (.f32 (sqrt.f32 ux) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (+ (* 1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (sqrt -1))) (sqrt (/ 1 ux)))) (* (sqrt ux) (sqrt -1)))))
(.f32 maxCos (fma.f32 (/.f32 (fma.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))))) #s(literal 1 binary32))) (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 ux) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))))
(* maxCos (+ (* -1/4 (* (/ (* (- 2 (* 2 (/ 1 ux))) (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (pow (sqrt -1) 3))) (sqrt (/ 1 ux)))) (+ (* 1/2 (* (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))) (sqrt ux))) (+ (* 1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- 2 (* 2 (/ 1 ux))) 2)) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (sqrt -1))) (sqrt (/ 1 ux)))) (* (sqrt ux) (sqrt -1))))))
(.f32 maxCos (fma.f32 #s(literal -1/4 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 (/.f32 (fma.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))))) #s(literal 1 binary32))) (.f32 (.f32 maxCos maxCos) (neg.f32 (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)))) (fma.f32 (/.f32 (fma.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux))))) #s(literal 1 binary32))) (.f32 maxCos (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 ux) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* (* maxCos (sqrt -1)) (sqrt ux)))
(.f32 (neg.f32 maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 ux)))
(* -1 (* maxCos (+ (* -1/2 (* (/ (- (* 2 (/ 1 ux)) 2) (* maxCos (sqrt -1))) (sqrt ux))) (* (sqrt ux) (sqrt -1)))))
(.f32 (neg.f32 maxCos) (.f32 (sqrt.f32 ux) (fma.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (* (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2)))) (* maxCos (sqrt -1))) (sqrt (/ 1 ux)))) (* 1/2 (* (sqrt ux) (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1))))) maxCos)) (* (sqrt ux) (sqrt -1)))))
(neg.f32 (.f32 maxCos (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 ux) (/.f32 (fma.f32 (/.f32 (fma.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))))) #s(literal 1 binary32))) (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) #s(literal -1/2 binary32)) (.f32 (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 ux) #s(literal 1/2 binary32)))) (neg.f32 maxCos)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (* (/ (* (- (* 2 (/ 1 ux)) 2) (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2))))) (* maxCos (pow (sqrt -1) 3))) (sqrt (/ 1 ux)))) (* 1/2 (* (sqrt (/ 1 ux)) (/ (- (* ux (- (* 2 (/ 1 ux)) 1)) (* 1/4 (/ (* ux (pow (- (* 2 (/ 1 ux)) 2) 2)) (pow (sqrt -1) 2)))) (sqrt -1))))) maxCos)) (* 1/2 (* (sqrt ux) (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1))))) maxCos)) (* (sqrt ux) (sqrt -1)))))
(.f32 (neg.f32 maxCos) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 ux) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 ux) (/.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))))) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 #s(literal 1/4 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) ux)) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))) (/.f32 (fma.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32)) (.f32 ux (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -2 binary32))))) #s(literal 1 binary32))) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))))) (neg.f32 maxCos))) (neg.f32 maxCos))))

eval132.0ms (0.9%)

Memory: 15.3MiB live, 204.6MiB allocated
Compiler: Compiled 32 132 to 2 861 computations (91.1% saved)

prune172.0ms (1.2%)

Memory

-19.2MiB live, 505.5MiB allocated

Pruning

64 alts after pruning (62 fresh and 2 done)

	Pruned	Kept	Total
New	819	30	849
Fresh	17	32	49
Picked	3	2	5
Done	0	0	0
Total	839	64	903

Accuracy

100.0%

Counts

903 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.7%	(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
	90.4%	(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
	57.5%	(/.f32 (.f32 (cos.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	54.9%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
	83.4%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
	88.3%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
	90.1%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) ux)) (.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (*.f32 (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) ux)))))))
▶	90.3%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
	90.2%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
	85.1%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	43.1%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
✓	90.5%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
	90.7%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	71.4%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
	90.9%	(.f32 (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	92.6%	(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
	81.2%	(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
	90.7%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
	99.0%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (cos.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))))
	99.0%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) uy)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))))))
	98.7%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32))) #s(literal 1 binary32)))
	98.6%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (.f32 (+.f32 (cos.f32 (.f32 (PI.f32) uy)) (sin.f32 (.f32 (PI.f32) uy))) (-.f32 (cos.f32 (.f32 (PI.f32) uy)) (sin.f32 (*.f32 (PI.f32) uy)))))
▶	99.1%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (*.f32 (PI.f32) (log.f32 (E.f32)))))))
✓	99.2%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	81.2%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
	76.6%	(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	92.8%	(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	97.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (pow.f32 (pow.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 ux)))
	76.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 ux)))
	92.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	55.4%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	57.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
	51.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (fma.f32 ux (+.f32 maxCos (fma.f32 ux (+.f32 #s(literal 3 binary32) (fma.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32)))) #s(literal -4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	55.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (fma.f32 ux (+.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))))
	54.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	98.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
	57.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
▶	92.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	73.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
	98.7%	(.f32 ux (.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))))
	40.8%	(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
	81.6%	(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	51.2%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
	51.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
	15.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
	49.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
	52.3%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
	25.5%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
	44.1%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
▶	81.6%	(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
	49.4%	(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	49.3%	(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
	81.6%	(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
	25.5%	(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	81.4%	(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
	81.5%	(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	37.9%	(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
	50.7%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
	3.2%	(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
	81.1%	(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
	80.1%	(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
	65.1%	(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
▶	76.9%	(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
	81.5%	(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))

Compiler

Compiled 3 588 to 2 163 computations (39.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize165.0ms (1.1%)

Memory

-2.6MiB live, 427.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sqrt.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
✓	accuracy	99.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
✓	accuracy	98.9%	(.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))
✓	accuracy	98.9%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
✓	accuracy	99.6%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
✓	accuracy	99.1%	(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
✓	accuracy	96.9%	(*.f32 (PI.f32) (PI.f32))
✓	accuracy	99.9%	(fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))))
✓	accuracy	99.8%	(.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))
✓	accuracy	99.8%	(.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
✓	accuracy	100.0%	(-.f32 #s(literal 2 binary32) ux)
✓	accuracy	99.6%	(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
✓	accuracy	99.5%	(*.f32 ux (-.f32 #s(literal 2 binary32) ux))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (*.f32 (PI.f32) (log.f32 (E.f32)))))))
✓	accuracy	98.9%	(.f32 uy (.f32 (PI.f32) (log.f32 (E.f32))))
✓	accuracy	96.9%	(log.f32 (E.f32))

Samples

92.0ms

256×

valid

Compiler

Compiled 423 to 51 computations (87.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 30.0ms (45.8% of total)

ival-add: 8.0ms (12.2% of total)

ival-sqrt: 8.0ms (12.2% of total)

ival-sub: 5.0ms (7.6% of total)

ival-cos: 5.0ms (7.6% of total)

ival-div: 3.0ms (4.6% of total)

ival-log: 3.0ms (4.6% of total)

ival-e: 2.0ms (3.1% of total)

ival-pi: 1.0ms (1.5% of total)

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

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

exact: 0.0ms (0% of total)

series109.0ms (0.7%)

Memory

3.2MiB live, 170.1MiB allocated

Counts

19 → 348

Calls

Call 1

Inputs
#<alt (log.f32 (E.f32))>
#<alt (.f32 uy (.f32 (PI.f32) (log.f32 (E.f32))))>
#<alt (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (*.f32 (PI.f32) (log.f32 (E.f32)))))))>
#<alt (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (*.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))>
#<alt (*.f32 ux (-.f32 #s(literal 2 binary32) ux))>
#<alt (sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))>
#<alt (-.f32 #s(literal 2 binary32) ux)>
#<alt (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))>
#<alt (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))>
#<alt (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))>
#<alt (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux))))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)>
#<alt (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))>
#<alt (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))>
#<alt (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))>
#<alt (.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))>
#<alt (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))>
#<alt (sqrt.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))>

Outputs
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* uy (* (PI) (log (E))))>
#<alt (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))))>
#<alt (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 ux) (* 2 (pow ux 2))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))))>
#<alt (+ (* maxCos (+ (* 1/2 (* (* maxCos (* (cos (* 2 (* uy (* (PI) (log (E)))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* 1/2 (* (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 ux) (* 2 (pow ux 2)))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))))>
#<alt (+ (* maxCos (+ (* 1/2 (* (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 ux) (* 2 (pow ux 2)))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))))) (sqrt (/ 1 (pow (+ (* -1 (pow ux 2)) (* 2 ux)) 3))))) (* 1/2 (* (* (cos (* 2 (* uy (* (PI) (log (E)))))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))))>
#<alt (* maxCos (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 ux) (* 2 (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1)))))>
#<alt (* maxCos (+ (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 ux) (* 2 (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1))))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 ux) (* 2 (pow ux 2)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1)))))))>
#<alt (* -1 (* maxCos (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 (pow ux 2)) (* 2 ux))) (* maxCos (* ux (sqrt -1))))) (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1))))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 (pow ux 2)) (* 2 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1))))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (+ (* -2 (pow ux 2)) (* 2 ux)) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ (* -2 (pow ux 2)) (* 2 ux))) (* ux (sqrt -1))))) maxCos)) (* ux (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt -1))))))>
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#<alt (+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (* (PI) (log (E))))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (cos (* 2 (* uy (* (PI) (log (E))))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))>
#<alt (* (* ux (cos (* 2 (* uy (* (PI) (log (E))))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* ux (+ (* -1/8 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (* -1 (* (* ux (cos (* 2 (* uy (* (PI) (log (E))))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))>
#<alt (* -1 (* ux (+ (* 1/2 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (* (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (* (cos (* 2 (* uy (* (PI) (log (E)))))) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (* (cos (* 2 (* uy (* (PI) (log (E)))))) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (* (cos (* 2 (* uy (* (PI) (log (E)))))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)) (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
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#<alt (+ (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))) (* (pow uy 2) (+ (* -2 (* (* (pow (PI) 2) (pow (log (E)) 2)) (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))))) (* (pow uy 2) (+ (* -4/45 (* (* (pow uy 2) (* (pow (PI) 6) (pow (log (E)) 6))) (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))))) (* 2/3 (* (* (pow (PI) 4) (pow (log (E)) 4)) (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))))))))))>
#<alt (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))))>
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#<alt (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* (cos (* 2 (* uy (* (PI) (log (E)))))) (sqrt (+ (* ux (+ 2 (* -2 maxCos))) (* (pow ux 2) (* (- 1 maxCos) (- maxCos 1))))))>
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#<alt (sqrt (+ (* -1 (pow ux 2)) (* 2 ux)))>
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#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))))>
#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))) (sqrt (/ 1 (pow (+ (* -1 (pow ux 2)) (* 2 ux)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))))))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -2 (pow ux 2)) (* 2 ux)) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (sqrt (* ux (+ 2 (* -2 maxCos))))>
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#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))))))>
#<alt (* ux (sqrt (* (- 1 maxCos) (- maxCos 1))))>
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#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))))>
#<alt (* -1 (* ux (sqrt (* (- 1 maxCos) (- maxCos 1)))))>
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#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))))>
#<alt (* -1 (* ux (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))>
#<alt (* 2 ux)>
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#<alt (+ (* (sqrt ux) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ 1 ux)) (/ 1 (pow (sqrt 2) 5)))))))))>
#<alt (* ux (sqrt -1))>
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#<alt (* -1 (* ux (sqrt -1)))>
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#<alt 2>
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#<alt (+ 2 (* -1 ux))>
#<alt (* -1 ux)>
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#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (* maxCos (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux)))))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))))))>
#<alt (+ (sqrt (+ (* -1 (pow ux 2)) (* 2 ux))) (* maxCos (+ (* 1/2 (* (+ (* -2 ux) (* 2 (pow ux 2))) (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))))) (* maxCos (+ (* -1/4 (* (* maxCos (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))) (sqrt (/ 1 (pow (+ (* -1 (pow ux 2)) (* 2 ux)) 3))))) (* 1/2 (* (sqrt (/ 1 (+ (* -1 (pow ux 2)) (* 2 ux)))) (- (* -1 (pow ux 2)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (+ (* -1 (pow ux 2)) (* 2 ux))))))))))))>
#<alt (* maxCos (* ux (sqrt -1)))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1))))>
#<alt (* maxCos (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* maxCos (+ (* -1/4 (/ (* (+ (* -2 ux) (* 2 (pow ux 2))) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (+ (* -2 ux) (* 2 (pow ux 2))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 ux) (* 2 (pow ux 2))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (sqrt -1))))))>
#<alt (* -1 (* maxCos (* ux (sqrt -1))))>
#<alt (* -1 (* maxCos (+ (* -1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* maxCos (* ux (sqrt -1))))) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* maxCos (* ux (sqrt -1))))) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (+ (* -2 (pow ux 2)) (* 2 ux)) (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (- (+ (* -1 (pow ux 2)) (* 2 ux)) (* 1/4 (/ (pow (+ (* -2 (pow ux 2)) (* 2 ux)) 2) (* (pow ux 2) (pow (sqrt -1) 2))))) (* ux (sqrt -1))))) maxCos)) (* 1/2 (/ (+ (* -2 (pow ux 2)) (* 2 ux)) (* ux (sqrt -1))))) maxCos)) (* ux (sqrt -1)))))>
#<alt (sqrt (* ux (+ 2 (* -2 maxCos))))>
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#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* ux (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (* ux (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (- (* 2 (/ 1 ux)) 2))) (sqrt -1)))) maxCos)) (* ux (* (sqrt -1) (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))))))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* ux (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (* ux (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (* ux (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (- (* 2 (/ 1 ux)) 2))) (sqrt -1)))) maxCos)) (* ux (* (sqrt -1) (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))))))))>
#<alt (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))))>
#<alt (+ (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (- 1 maxCos) (- maxCos 1))))) (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))))>
#<alt (+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (+ (* (sqrt (* ux (+ 2 (* -2 maxCos)))) (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (- 1 maxCos) (- maxCos 1))))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2))))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))))>
#<alt (* (* ux (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* ux (+ (* 1/2 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))>
#<alt (* ux (+ (* -1/8 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/2 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (sqrt (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (* ux (+ (* -1/8 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (pow (+ 2 (* -2 maxCos)) 2)) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (pow (+ 2 (* -2 maxCos)) 3)) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (+ (* 1/2 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (* (* ux (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2))))) (sqrt (* (- 1 maxCos) (- maxCos 1))))>
#<alt (* -1 (* ux (+ (* -1 (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))) (* -1/2 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (+ 2 (* -2 maxCos))) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (* -1 (* ux (+ (* -1 (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))) (* -1 (/ (+ (* -1/8 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (pow (+ 2 (* -2 maxCos)) 2)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))>
#<alt (* -1 (* ux (+ (* -1 (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (sqrt (* (- 1 maxCos) (- maxCos 1))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/16 (* (/ (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (pow (+ 2 (* -2 maxCos)) 3)) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/8 (* (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (pow (+ 2 (* -2 maxCos)) 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)) (* 1/2 (* (* (+ 1 (* -2 (* (pow uy 2) (pow (PI) 2)))) (+ 2 (* -2 maxCos))) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))))>
#<alt (sqrt (- (* 2 (/ 1 ux)) 1))>
#<alt (+ (sqrt (- (* 2 (/ 1 ux)) 1)) (* 1/2 (* (* maxCos (- 2 (* 2 (/ 1 ux)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))>
#<alt (+ (sqrt (- (* 2 (/ 1 ux)) 1)) (* maxCos (+ (* -1/2 (* (* maxCos (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1))))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/2 (* (- 2 (* 2 (/ 1 ux))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))))))>
#<alt (+ (sqrt (- (* 2 (/ 1 ux)) 1)) (* maxCos (+ (* 1/2 (* (- 2 (* 2 (/ 1 ux))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* maxCos (+ (* -1/2 (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (sqrt (/ 1 (- (* 2 (/ 1 ux)) 1))))) (* 1/4 (* (* maxCos (* (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (- (* 2 (/ 1 ux)) 1)))) (- 2 (* 2 (/ 1 ux))))) (sqrt (/ 1 (pow (- (* 2 (/ 1 ux)) 1) 3))))))))))>
#<alt (* maxCos (sqrt -1))>
#<alt (* maxCos (+ (sqrt -1) (* 1/2 (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1))))))>
#<alt (* maxCos (+ (sqrt -1) (+ (* 1/2 (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1)))) (* 1/2 (/ (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (sqrt -1)))))))>
#<alt (* maxCos (+ (sqrt -1) (+ (* -1/4 (/ (* (- 2 (* 2 (/ 1 ux))) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2)))))) (* (pow maxCos 3) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (- 2 (* 2 (/ 1 ux))) (* maxCos (sqrt -1)))) (* 1/2 (/ (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- 2 (* 2 (/ 1 ux))) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 2) (sqrt -1))))))))>
#<alt (* -1 (* maxCos (sqrt -1)))>
#<alt (* -1 (* maxCos (+ (sqrt -1) (* -1/2 (/ (- (* 2 (/ 1 ux)) 2) (* maxCos (sqrt -1)))))))>
#<alt (* -1 (* maxCos (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (/ (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))) (* maxCos (sqrt -1)))) (* 1/2 (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1)))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* (- (* 2 (/ 1 ux)) 2) (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2)))))) (* maxCos (pow (sqrt -1) 3)))) (* 1/2 (/ (- (* 2 (/ 1 ux)) (+ 1 (* 1/4 (/ (pow (- (* 2 (/ 1 ux)) 2) 2) (pow (sqrt -1) 2))))) (sqrt -1)))) maxCos)) (* 1/2 (/ (- (* 2 (/ 1 ux)) 2) (sqrt -1)))) maxCos)))))>
#<alt (sqrt (/ (+ 2 (* -2 maxCos)) ux))>
#<alt (/ (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* 1/2 (* (sqrt (/ (pow ux 3) (+ 2 (* -2 maxCos)))) (* (- 1 maxCos) (- maxCos 1))))) ux)>
#<alt (/ (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ ux (pow (+ 2 (* -2 maxCos)) 3))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1))))))) ux)>
#<alt (/ (+ (sqrt (* ux (+ 2 (* -2 maxCos)))) (* (pow ux 2) (+ (* 1/2 (* (sqrt (/ 1 (* ux (+ 2 (* -2 maxCos))))) (* (- 1 maxCos) (- maxCos 1)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (+ 2 (* -2 maxCos)) 3)))) (* (pow (- 1 maxCos) 2) (pow (- maxCos 1) 2)))) (* 1/16 (* (sqrt (/ 1 (* ux (pow (+ 2 (* -2 maxCos)) 5)))) (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))))) ux)>
#<alt (sqrt (* (- 1 maxCos) (- maxCos 1)))>
#<alt (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))))>
#<alt (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (+ (* -1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) (pow ux 2)) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (+ (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) (pow ux 3)) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5)))))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))))>
#<alt (sqrt (* (- 1 maxCos) (- maxCos 1)))>
#<alt (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* 1/2 (* (/ (+ 2 (* -2 maxCos)) ux) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))))>
#<alt (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1)))))) (* 1/8 (* (/ (pow (+ 2 (* -2 maxCos)) 2) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3))))))) ux)))>
#<alt (+ (sqrt (* (- 1 maxCos) (- maxCos 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow (+ 2 (* -2 maxCos)) 2) (sqrt (/ 1 (* (pow (- 1 maxCos) 3) (pow (- maxCos 1) 3)))))) (* 1/16 (* (/ (pow (+ 2 (* -2 maxCos)) 3) ux) (sqrt (/ 1 (* (pow (- 1 maxCos) 5) (pow (- maxCos 1) 5))))))) ux)) (* -1/2 (* (+ 2 (* -2 maxCos)) (sqrt (/ 1 (* (- 1 maxCos) (- maxCos 1))))))) ux)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 ux)>
#<alt (* ux (+ 2 (* -1 ux)))>
#<alt (* ux (+ 2 (* -1 ux)))>
#<alt (* ux (+ 2 (* -1 ux)))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* -1 (pow ux 2))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) 1))>
#<alt (* ux (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (+ (* -2 (* (* ux (* (pow uy 2) (pow (PI) 2))) (sqrt (- (* 2 (/ 1 ux)) 1)))) (* ux (sqrt (- (* 2 (/ 1 ux)) 1))))>
#<alt (+ (* ux (sqrt (- (* 2 (/ 1 ux)) 1))) (* (pow uy 2) (+ (* -2 (* (* ux (pow (PI) 2)) (sqrt (- (* 2 (/ 1 ux)) 1)))) (* 2/3 (* (* ux (* (pow uy 2) (pow (PI) 4))) (sqrt (- (* 2 (/ 1 ux)) 1)))))))>
#<alt (+ (* ux (sqrt (- (* 2 (/ 1 ux)) 1))) (* (pow uy 2) (+ (* -2 (* (* ux (pow (PI) 2)) (sqrt (- (* 2 (/ 1 ux)) 1)))) (* (pow uy 2) (+ (* -4/45 (* (* ux (* (pow uy 2) (pow (PI) 6))) (sqrt (- (* 2 (/ 1 ux)) 1)))) (* 2/3 (* (* ux (pow (PI) 4)) (sqrt (- (* 2 (/ 1 ux)) 1)))))))))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (* ux (cos (* 2 (* uy (PI))))) (sqrt (- (* 2 (/ 1 ux)) 1)))>
#<alt (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (sqrt 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow ux 3)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (sqrt 2))))>
#<alt (+ (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* -1/8 (* (sqrt ux) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))))))>
#<alt (+ (* (sqrt ux) (* (cos (* 2 (* uy (PI)))) (sqrt 2))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 ux)) (/ (cos (* 2 (* uy (PI)))) (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (pow ux 3))) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ 1 ux)) (/ (cos (* 2 (* uy (PI)))) (pow (sqrt 2) 5)))))))))>
#<alt (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1)))>
#<alt (* ux (+ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))>
#<alt (* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (pow (sqrt -1) 3)))) (+ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))>
#<alt (* ux (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 2) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* (pow ux 3) (pow (sqrt -1) 5)))) (+ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1)))))))>
#<alt (* -1 (* ux (* (cos (* 2 (* uy (PI)))) (sqrt -1))))>
#<alt (* -1 (* ux (+ (* (cos (* 2 (* uy (PI)))) (sqrt -1)) (/ (cos (* 2 (* uy (PI)))) (* ux (sqrt -1))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (cos (* 2 (* uy (PI)))) (sqrt -1))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* ux (pow (sqrt -1) 3))))) ux)) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))>
#<alt (* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (cos (* 2 (* uy (PI)))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ (cos (* 2 (* uy (PI)))) (pow (sqrt -1) 3))) (* 1/2 (/ (cos (* 2 (* uy (PI)))) (* ux (pow (sqrt -1) 5))))) ux))) ux)) (* (cos (* 2 (* uy (PI)))) (sqrt -1)))))>
#<alt (* (sqrt ux) (sqrt 2))>
#<alt (+ (* -1/2 (* (sqrt (pow ux 3)) (/ 1 (sqrt 2)))) (* (sqrt ux) (sqrt 2)))>
#<alt (+ (* (sqrt ux) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 ux)) (/ 1 (sqrt 2)))) (* -1/8 (* (sqrt ux) (/ 1 (pow (sqrt 2) 3)))))))>
#<alt (+ (* (sqrt ux) (sqrt 2)) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 ux)) (/ 1 (sqrt 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (pow ux 3))) (/ 1 (pow (sqrt 2) 3)))) (* -1/16 (* (sqrt (/ 1 ux)) (/ 1 (pow (sqrt 2) 5)))))))))>
#<alt (* ux (sqrt -1))>
#<alt (* ux (+ (sqrt -1) (/ 1 (* ux (sqrt -1)))))>
#<alt (* ux (- (+ (sqrt -1) (/ 1 (* ux (sqrt -1)))) (/ 1/2 (* (pow ux 2) (pow (sqrt -1) 3)))))>
#<alt (* ux (- (+ (sqrt -1) (+ (/ 1 (* ux (sqrt -1))) (* 1/2 (/ 1 (* (pow ux 3) (pow (sqrt -1) 5)))))) (* 1/2 (/ 1 (* (pow ux 2) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* ux (sqrt -1)))>
#<alt (* -1 (* ux (+ (sqrt -1) (/ 1 (* ux (sqrt -1))))))>
#<alt (* -1 (* ux (+ (sqrt -1) (* -1 (/ (- (* 1/2 (/ 1 (* ux (pow (sqrt -1) 3)))) (/ 1 (sqrt -1))) ux)))))>
#<alt (* -1 (* ux (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 (* ux (pow (sqrt -1) 5)))) (* 1/2 (/ 1 (pow (sqrt -1) 3)))) ux)) (/ 1 (sqrt -1))) ux)))))>

Calls

87 calls:

Time	Variable		Point	Expression
32.0ms	uy	@	0	(* uy (* (PI) (log (E))))
22.0ms	maxCos	@	0	(* (sqrt (+ (* (+ maxCos -1) (* (- 1 maxCos) (* ux ux))) (* (+ (* maxCos -2) 2) ux))) (cos (* 2 (* uy (* (PI) (log (E)))))))
15.0ms	ux	@	0	(* ux (- 2 ux))
3.0ms	ux	@	inf	(sqrt (* (* ux ux) (+ (/ 2 ux) -1)))
1.0ms	uy	@	0	(* (sqrt (+ (* (+ maxCos -1) (* (- 1 maxCos) (* ux ux))) (* (+ (* maxCos -2) 2) ux))) (cos (* 2 (* uy (* (PI) (log (E)))))))

rewrite306.0ms (2.1%)

Memory

49.8MiB live, 575.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 214×	`lower-*.f64`
5 178×	`lower-*.f32`
3 496×	`lower-/.f64`
3 492×	`lower-/.f32`
3 132×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	222
0	88	207
1	305	205
2	2047	202
0	8369	201

Stop Event

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

Counts

19 → 396

Calls

Call 1

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

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

simplify510.0ms (3.4%)

Memory

-48.4MiB live, 730.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 516×	`lower-fma.f64`
8 516×	`lower-fma.f32`
7 764×	`lower-*.f64`
7 764×	`lower-*.f32`
5 218×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1059	11996
1	3629	11011
0	8300	10415

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 348

Calls

Call 1

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

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

eval81.0ms (0.5%)

Memory: 27.9MiB live, 177.1MiB allocated
Compiler: Compiled 28 959 to 2 185 computations (92.5% saved)

prune193.0ms (1.3%)

Memory

-23.7MiB live, 466.6MiB allocated

Pruning

80 alts after pruning (74 fresh and 6 done)

	Pruned	Kept	Total
New	746	34	780
Fresh	17	40	57
Picked	1	4	5
Done	0	2	2
Total	764	80	844

Accuracy

100.0%

Counts

844 → 80

Alt Table

Click to see full alt table

Status	Accuracy	Program
	90.3%	(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
	90.7%	(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
	83.4%	(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
	90.2%	(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
	57.5%	(/.f32 (.f32 (cos.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	54.9%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
	83.4%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
	88.3%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
	90.0%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 ux ux)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) (sqrt.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))) ux))
✓	90.3%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
	71.3%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
	85.1%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
	90.7%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	43.1%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
✓	90.5%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
	90.7%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	71.4%	(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
	98.4%	(.f32 (.f32 (sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (.f32 ux (.f32 ux ux)) (.f32 ux (.f32 ux ux)))) (.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (neg.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (*.f32 (PI.f32) (log.f32 (E.f32)))))))
	92.6%	(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))) ux) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))))
	81.2%	(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
	99.0%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (cos.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)) (neg.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))))
	99.0%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) uy)) #s(literal 6 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 6 binary32))) (+.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32)) (+.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32)) (.f32 (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))))))))
	98.7%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) uy)) #s(literal 4 binary32))) #s(literal 1 binary32)))
✓	99.2%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	81.2%	(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
	76.7%	(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
	85.2%	(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
	76.8%	(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
	76.6%	(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
	92.8%	(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
	92.8%	(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (*.f32 (PI.f32) (log.f32 (E.f32)))))))
	73.2%	(.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
	62.6%	(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
	92.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 4 binary32) (*.f32 ux ux)) ux)) (sqrt.f32 (+.f32 ux #s(literal 2 binary32)))))
	97.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (pow.f32 (pow.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 ux)))
	76.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 ux)))
	92.5%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux)))
	92.6%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux))
	55.4%	(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	57.7%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (.f32 (neg.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))))
	51.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (fma.f32 ux (+.f32 maxCos (fma.f32 ux (+.f32 #s(literal 3 binary32) (fma.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (fma.f32 maxCos (.f32 maxCos maxCos) #s(literal -1 binary32))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -3 binary32)))) #s(literal -4 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	55.3%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (fma.f32 ux (+.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)))) #s(literal 1 binary32))))
	54.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (.f32 maxCos (.f32 ux (.f32 ux (.f32 maxCos maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32))))
	92.9%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32)))))
	98.4%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
	92.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (*.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32)))))
	92.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux)))
✓	92.8%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	73.2%	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
	85.1%	(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
	98.7%	(.f32 ux (.f32 (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))))
	92.5%	(.f32 ux (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32))))))
	40.8%	(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
	81.6%	(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
	51.2%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
	51.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
	15.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
	49.4%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
	52.3%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
	25.5%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
	44.1%	(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
✓	81.6%	(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
	80.3%	(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
	80.1%	(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
	49.4%	(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	49.3%	(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
	77.0%	(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
	25.5%	(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
	76.9%	(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
	37.9%	(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
	50.7%	(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
	76.9%	(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
	3.2%	(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
	81.1%	(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
	80.1%	(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
	65.1%	(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
	76.8%	(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
✓	76.9%	(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
	81.5%	(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
	62.6%	(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))

Compiler

Compiled 5 781 to 1 934 computations (66.5% saved)

regimes422.0ms (2.8%)

Memory

-8.6MiB live, 794.0MiB allocated

Counts

135 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

44.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
39.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
39.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
38.0ms	maxCos
38.0ms	(*.f32 uy #s(literal 2 binary32))

Results

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

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes321.0ms (2.2%)

Memory

30.0MiB live, 503.4MiB allocated

Counts

99 → 1

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux)))
(.f32 ux (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))) ux) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 ux)))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux)))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 #s(literal 2 binary32) maxCos) ux (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (.f32 maxCos #s(literal -2 binary32)) ux (neg.f32 (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (*.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 ux ux)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))) (sqrt.f32 (-.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos))))) ux))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) #s(literal 1 binary32)))))

Outputs

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

Calls

11 calls:

39.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
32.0ms	maxCos
31.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
29.0ms	(*.f32 uy #s(literal 2 binary32))
28.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))

Results

Accuracy	Segments	Branch
99.1%	1	`ux`
99.1%	1	`uy`
99.1%	1	`maxCos`
99.1%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
99.1%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
99.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
99.1%	1	`(*.f32 uy #s(literal 2 binary32))`
99.1%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
99.1%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
99.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
99.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes331.0ms (2.2%)

Memory

-3.1MiB live, 465.8MiB allocated

Counts

95 → 1

Calls

Call 1

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

Outputs

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

Calls

11 calls:

62.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
29.0ms	ux
29.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
28.0ms	uy
27.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

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

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes285.0ms (1.9%)

Memory

31.6MiB live, 506.5MiB allocated

Counts

91 → 2

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux)))
(.f32 ux (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))) ux) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 ux)))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux)))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 #s(literal 2 binary32) maxCos) ux (-.f32 #s(literal 1 binary32) ux))))))

Outputs

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

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

Calls

11 calls:

28.0ms	(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)))))
28.0ms	ux
27.0ms	uy
26.0ms	maxCos
26.0ms	(.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
92.9%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
92.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
92.9%	1	`ux`
98.2%	2	`uy`
97.4%	2	`maxCos`
92.9%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
98.2%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.2%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.2%	2	`(*.f32 uy #s(literal 2 binary32))`
92.9%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
92.9%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes111.0ms (0.8%)

Memory

-35.6MiB live, 207.8MiB allocated

Counts

88 → 2

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux)))
(.f32 ux (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux))
(.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))
(.f32 (.f32 (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))) ux) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) (sqrt.f32 ux)))

Outputs

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

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

Calls

4 calls:

28.0ms	(*.f32 uy #s(literal 2 binary32))
25.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
25.0ms	uy
23.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
98.2%	2	`uy`
98.2%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.2%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.2%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes97.0ms (0.7%)

Memory

15.6MiB live, 172.9MiB allocated

Counts

85 → 2

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 ux) (.f32 (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal 2 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux)))
(.f32 ux (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux))

Outputs

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

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

Calls

4 calls:

25.0ms	uy
24.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
24.0ms	(*.f32 uy #s(literal 2 binary32))
22.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
98.2%	2	`uy`
98.2%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.2%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.2%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes88.0ms (0.6%)

Memory

6.0MiB live, 163.5MiB allocated

Counts

76 → 2

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux))) (cos.f32 (.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(fma.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 #s(literal -2 binary32) (.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))) (.f32 (.f32 ux (.f32 uy uy)) (.f32 (PI.f32) (PI.f32))))))

Outputs

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

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

Calls

4 calls:

22.0ms	uy
22.0ms	(*.f32 uy #s(literal 2 binary32))
22.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
20.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
98.1%	2	`uy`
98.1%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
98.1%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
98.1%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 27 to 23 computations (14.8% saved)

regimes229.0ms (1.5%)

Memory

-14.0MiB live, 348.9MiB allocated

Counts

70 → 2

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux)))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))))

Outputs

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

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

Calls

11 calls:

33.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
21.0ms	maxCos
20.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
20.0ms	(*.f32 uy #s(literal 2 binary32))
20.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
90.7%	1	`ux`
90.7%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
90.7%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.7%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.7%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.7%	1	`maxCos`
95.2%	2	`uy`
95.2%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
95.2%	2	`(*.f32 uy #s(literal 2 binary32))`
95.2%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes193.0ms (1.3%)

Memory

34.7MiB live, 346.9MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
(sqrt.f32 (/.f32 (fma.f32 (.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))) ux (.f32 (+.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 ux ux)))) (*.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))
(sqrt.f32 (/.f32 (.f32 (.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (neg.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(fma.f32 (.f32 #s(literal -2 binary32) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux))))))) (.f32 (.f32 uy (PI.f32)) (.f32 uy (PI.f32))) (sqrt.f32 (.f32 ux (+.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 ux maxCos (neg.f32 ux)))))))
(fma.f32 (.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32)))) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))) (.f32 #s(literal 1 binary32) (*.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (*.f32 maxCos (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) ux))
(/.f32 (.f32 (fma.f32 #s(literal 4 binary32) (.f32 (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32)))) (.f32 uy (.f32 uy (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)) (.f32 ux (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))))) (fma.f32 (.f32 uy uy) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (fma.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -2 binary32) ux)) (.f32 ux maxCos)) #s(literal 1/2 binary32)))))

Outputs

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
90.7%	1	`ux`
90.7%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
90.7%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.7%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.7%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
90.7%	1	`uy`
90.7%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
90.7%	1	`(*.f32 uy #s(literal 2 binary32))`
90.7%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 128 to 76 computations (40.6% saved)

regimes205.0ms (1.4%)

Memory

-29.9MiB live, 288.3MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))

Outputs

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

Calls

11 calls:

36.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
21.0ms	uy
18.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
18.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
17.0ms	ux

Results

Accuracy	Segments	Branch
90.7%	1	`maxCos`
90.7%	1	`uy`
90.7%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
90.7%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
90.7%	1	`(*.f32 uy #s(literal 2 binary32))`
90.7%	1	`ux`
90.7%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
90.7%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.7%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.7%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes194.0ms (1.3%)

Memory

21.8MiB live, 255.3MiB allocated

Counts

55 → 1

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (.f32 ux (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))

Outputs

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

Calls

11 calls:

29.0ms	(*.f32 uy #s(literal 2 binary32))
25.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
16.0ms	maxCos
16.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
16.0ms	(.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
90.7%	1	`maxCos`
90.7%	1	`uy`
90.7%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
90.7%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
90.7%	1	`(*.f32 uy #s(literal 2 binary32))`
90.7%	1	`ux`
90.7%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
90.7%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
90.7%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
90.7%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
90.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes170.0ms (1.1%)

Memory

25.4MiB live, 300.7MiB allocated

Counts

53 → 2

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(.f32 maxCos (.f32 ux (sqrt.f32 #s(literal -1 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (.f32 (.f32 ux #s(literal -2 binary32)) (+.f32 maxCos #s(literal -1 binary32))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 ux) (sqrt.f32 #s(literal 2 binary32)))
(sqrt.f32 (.f32 (.f32 maxCos maxCos) (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (fma.f32 #s(literal 1 binary32) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (-.f32 #s(literal 2 binary32) ux)) (sqrt.f32 ux))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(*.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) ux)
(sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (*.f32 (fma.f32 (/.f32 #s(literal 2 binary32) ux) ux (neg.f32 ux)) ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux ux))))
(sqrt.f32 (fma.f32 (-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 maxCos) ux (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 4 binary32) (.f32 ux ux)) ux) (+.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos ux) (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (+.f32 (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux)) #s(literal 1 binary32))))
(.f32 #s(literal 1 binary32) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(*.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) ux)
(sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (fma.f32 ux maxCos ux))) (+.f32 #s(literal -1 binary32) (fma.f32 ux maxCos ux))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 maxCos (neg.f32 (.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 ux #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (-.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) ux) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (sqrt.f32 ux))
(sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (+.f32 ux #s(literal -1 binary32)) maxCos))) #s(literal 1 binary32)))
(sqrt.f32 (.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 maxCos (+.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal -2 binary32))))))
(sqrt.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -2 binary32) (/.f32 (+.f32 maxCos #s(literal -1 binary32)) ux) (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) #s(literal 1 binary32)))))
(*.f32 ux (sqrt.f32 (fma.f32 #s(literal -2 binary32) (/.f32 maxCos ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal 2 binary32) ux)))))
(.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 ux (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) ux))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)) ux))
(sqrt.f32 (.f32 ux (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 4 binary32)) (-.f32 #s(literal 8 binary32) (.f32 ux (*.f32 ux ux)))))))
(sqrt.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (.f32 ux maxCos)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 uy uy) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))))

Outputs

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

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

Calls

11 calls:

17.0ms	(*.f32 uy #s(literal 2 binary32))
17.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
16.0ms	maxCos
16.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
16.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
89.5%	2	`uy`
89.5%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
89.5%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.5%	2	`(*.f32 uy #s(literal 2 binary32))`
85.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
85.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
89.5%	2	`maxCos`
85.2%	1	`ux`
85.2%	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)))))`
85.2%	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))))`
85.2%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes74.0ms (0.5%)

Memory

-25.7MiB live, 135.4MiB allocated

Counts

46 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

19.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
15.0ms	maxCos
14.0ms	(*.f32 uy #s(literal 2 binary32))
13.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
13.0ms	uy

Results

Accuracy	Segments	Branch
89.4%	2	`maxCos`
89.4%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
89.4%	2	`uy`
89.4%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
89.4%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 31 to 26 computations (16.1% saved)

regimes420.0ms (2.8%)

Memory

-71.0MiB live, 289.4MiB allocated

Counts

45 → 2

Calls

Call 1

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

Outputs

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

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

Calls

11 calls:

282.0ms	(-.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)))))
15.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
14.0ms	(*.f32 uy #s(literal 2 binary32))
14.0ms	uy

Results

Accuracy	Segments	Branch
85.8%	2	`ux`
86.0%	2	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
85.8%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
85.8%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
85.8%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
85.8%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
81.6%	1	`maxCos`
87.0%	2	`uy`
87.0%	2	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
87.0%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
87.0%	2	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes115.0ms (0.8%)

Memory

2.0MiB live, 231.1MiB allocated

Counts

37 → 1

Calls

Call 1

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

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

Calls

10 calls:

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

Results

Accuracy	Segments	Branch
81.6%	1	`ux`
81.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
81.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
81.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
81.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
81.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
81.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
81.6%	1	`uy`
81.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
81.6%	1	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 128 to 76 computations (40.6% saved)

regimes112.0ms (0.8%)

Memory

19.9MiB live, 216.2MiB allocated

Counts

30 → 1

Calls

Call 1

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

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

Calls

11 calls:

17.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
13.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
10.0ms	(*.f32 uy #s(literal 2 binary32))
10.0ms	maxCos
9.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))

Results

Accuracy	Segments	Branch
81.6%	1	`uy`
81.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
81.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
81.6%	1	`(*.f32 uy #s(literal 2 binary32))`
81.6%	1	`ux`
81.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
81.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
81.6%	1	`maxCos`
81.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
81.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
81.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes115.0ms (0.8%)

Memory

-4.0MiB live, 253.6MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

11 calls:

16.0ms	(*.f32 uy #s(literal 2 binary32))
14.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
11.0ms	ux
10.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
9.0ms	(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
81.5%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
81.5%	1	`ux`
81.5%	1	`uy`
81.5%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
81.5%	1	`(*.f32 uy #s(literal 2 binary32))`
81.5%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
81.5%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
81.5%	1	`maxCos`
81.5%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
81.5%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
81.5%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes136.0ms (0.9%)

Memory

33.7MiB live, 144.4MiB allocated

Counts

19 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))

Calls

11 calls:

48.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
22.0ms	ux
19.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
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 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
80.1%	1	`uy`
80.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
80.1%	1	`(*.f32 uy #s(literal 2 binary32))`
80.1%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
80.1%	1	`ux`
80.1%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
80.1%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
80.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
80.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
80.1%	1	`maxCos`
80.1%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes90.0ms (0.6%)

Memory

-17.8MiB live, 124.5MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

11 calls:

23.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
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)))))
8.0ms	(*.f32 uy #s(literal 2 binary32))
5.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
5.0ms	(.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
80.1%	1	`uy`
80.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
80.1%	1	`(*.f32 uy #s(literal 2 binary32))`
80.1%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
80.1%	1	`ux`
80.1%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
80.1%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
80.1%	1	`maxCos`
80.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
80.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
80.1%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes111.0ms (0.7%)

Memory

-17.7MiB live, 102.4MiB allocated

Counts

14 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))

Calls

11 calls:

27.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
25.0ms	maxCos
23.0ms	uy
5.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
5.0ms	(*.f32 uy #s(literal 2 binary32))

Results

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

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes35.0ms (0.2%)

Memory

24.0MiB live, 62.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))

Calls

11 calls:

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

Results

Accuracy	Segments	Branch
76.9%	1	`ux`
76.9%	1	`uy`
76.9%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
76.9%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
76.9%	1	`(*.f32 uy #s(literal 2 binary32))`
76.9%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
76.9%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
76.9%	1	`maxCos`
76.9%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
76.9%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
76.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

regimes18.0ms (0.1%)

Memory

-3.6MiB live, 35.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))

Outputs
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))

Calls

11 calls:

5.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
1.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
1.0ms	(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
1.0ms	(*.f32 uy #s(literal 2 binary32))
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
62.6%	1	`ux`
62.6%	1	`uy`
62.6%	1	`maxCos`
62.6%	1	`(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
62.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
62.6%	1	`(*.f32 uy #s(literal 2 binary32))`
62.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
62.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
62.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
62.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
62.6%	1	`(cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.012747280299663544	0.012984993867576122

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.012747280299663544	0.012984993867576122

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.012747280299663544	0.012984993867576122

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9991680383682251	0.9991982579231262

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9934104681015015	0.9952813982963562

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00080887257354334	0.0008254204294644296

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.00080887257354334	0.0008254204294644296

Compiler

Compiled 31 to 22 computations (29% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0039069694466888905	0.0043247458525002

Compiler

Compiled 31 to 22 computations (29% saved)

simplify18.0ms (0.1%)

Memory

-15.5MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Rules

82×	`*-commutative_binary32`
14×	`+-commutative_binary32`
10×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	623
1	164	623
2	172	623
3	176	623
4	177	623

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 16763459/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 8346665/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 14087493/17179869184 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux)))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 14087493/17179869184 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))

Outputs
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
(.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (fma.f32 ux (-.f32 #s(literal 2 binary32) ux) (.f32 maxCos (*.f32 ux (fma.f32 #s(literal 2 binary32) ux #s(literal -2 binary32)))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (.f32 (*.f32 ux ux) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32)))))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (.f32 ux (cos.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux)))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32))))))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 13743895/1073741824 binary32)) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (fma.f32 (neg.f32 ux) ux (.f32 ux #s(literal 2 binary32))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 16763459/16777216 binary32)) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) #s(literal 16763459/16777216 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (.f32 ux (-.f32 #s(literal 2 binary32) ux)))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #s(literal 8346665/8388608 binary32)) (.f32 (cos.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 #s(literal 2 binary32) ux))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))
(if (<=.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) #s(literal 8346665/8388608 binary32)) (.f32 (cos.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (.f32 ux #s(literal 2 binary32)))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (.f32 ux ux) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux)) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (fma.f32 (.f32 (PI.f32) (PI.f32)) (.f32 #s(literal -2 binary32) (*.f32 uy uy)) #s(literal 1 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
(.f32 (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) (fma.f32 (fma.f32 ux maxCos (neg.f32 ux)) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 14087493/17179869184 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 ux (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32))) ux)))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 14087493/17179869184 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))) (fma.f32 #s(literal -2 binary32) (.f32 (.f32 (PI.f32) (PI.f32)) (.f32 ux (*.f32 uy uy))) ux)))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 14087493/17179869184 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal -1 binary32))))))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 14087493/17179869184 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 ux (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 2 binary32) ux))))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 8589935/2147483648 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 8589935/2147483648 binary32)) (sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux ux))))) (.f32 (fma.f32 (.f32 #s(literal -2 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)) (sqrt.f32 (*.f32 ux (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (*.f32 ux ux)))))
(sqrt.f32 (fma.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux) (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(sqrt.f32 (.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal -2 binary32)))))
(sqrt.f32 (fma.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux (neg.f32 (*.f32 ux ux))))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 #s(literal -2 binary32) (+.f32 maxCos #s(literal -1 binary32))))))
(sqrt.f32 (.f32 ux (fma.f32 ux #s(literal -1 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal -2 binary32)))))
(sqrt.f32 (fma.f32 (neg.f32 ux) ux (*.f32 ux #s(literal 2 binary32))))
(sqrt.f32 (*.f32 ux (-.f32 #s(literal 2 binary32) ux)))
(sqrt.f32 (*.f32 ux #s(literal 2 binary32)))

soundness1.7s (11.7%)

Memory

-12.5MiB live, 1 544.3MiB allocated

Rules

11 284×	`lower-fma.f64`
11 284×	`lower-fma.f32`
11 036×	`lower-fma.f64`
11 036×	`lower-fma.f32`
9 470×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	222
0	88	207
1	305	205
2	2047	202
0	8369	201
0	40	137
0	77	136
1	286	130
2	1872	130
0	8818	130
0	1059	11996
1	3629	11011
0	8300	10415
0	371	2673
1	1199	2528
2	4696	2340
0	9027	2229
0	794	5931
1	2592	5505
0	8541	5208
0	1645	14086
1	5555	13472
0	8255	12811
0	52	283
0	107	266
1	472	251
2	4308	240
0	8866	239

Stop Event

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

Compiler

Compiled 1 420 to 726 computations (48.9% saved)

preprocess147.0ms (1%)

Memory: 8.7MiB live, 284.6MiB allocated
Remove: (abs uy)
Compiler: Compiled 1 756 to 570 computations (67.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze214.0ms (1.4%)

sample2.0s (13.4%)

preprocess541.0ms (3.7%)

explain235.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize49.0ms (0.3%)

series17.0ms (0.1%)

rewrite509.0ms (3.4%)

simplify601.0ms (4.1%)

eval92.0ms (0.6%)

prune112.0ms (0.8%)

simplify0.0ms (0%)

localize237.0ms (1.6%)

series101.0ms (0.7%)

rewrite412.0ms (2.8%)

simplify475.0ms (3.2%)

eval130.0ms (0.9%)

prune213.0ms (1.4%)

simplify0.0ms (0%)

localize165.0ms (1.1%)

series55.0ms (0.4%)

rewrite373.0ms (2.5%)

simplify857.0ms (5.8%)

eval132.0ms (0.9%)

prune172.0ms (1.2%)

simplify0.0ms (0%)

localize165.0ms (1.1%)

series109.0ms (0.7%)

rewrite306.0ms (2.1%)

simplify510.0ms (3.4%)

eval81.0ms (0.5%)

prune193.0ms (1.3%)

regimes422.0ms (2.8%)

regimes321.0ms (2.2%)

regimes331.0ms (2.2%)

regimes285.0ms (1.9%)

regimes111.0ms (0.8%)

regimes97.0ms (0.7%)

regimes88.0ms (0.6%)

regimes229.0ms (1.5%)

regimes193.0ms (1.3%)

regimes205.0ms (1.4%)

regimes194.0ms (1.3%)

regimes170.0ms (1.1%)

regimes74.0ms (0.5%)

regimes420.0ms (2.8%)

regimes115.0ms (0.8%)

regimes112.0ms (0.8%)

regimes115.0ms (0.8%)

regimes136.0ms (0.9%)

regimes90.0ms (0.6%)

regimes111.0ms (0.7%)

regimes35.0ms (0.2%)

regimes18.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

soundness1.7s (11.7%)

preprocess147.0ms (1%)

end0.0ms (0%)

Profiling