Metrics for Trowbridge-Reitz Sample, sample surface normal, cosTheta

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze1.4s (7.8%)

Memory

12.0MiB live, 1 967.0MiB allocated; 300ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
0%	0%	0%	100%	0%	0%	0%	6
6.2%	0%	0%	100%	0%	0%	0%	7
9.4%	0%	0%	100%	0%	0%	0%	8
14.1%	0%	0%	100%	0%	0%	0%	9
21.1%	0%	0%	100%	0%	0%	0%	10
31.6%	0%	0%	100%	0%	0%	0%	11
36.9%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 120 to 50 computations (58.3% saved)

sample4.0s (22.5%)

Memory

16.6MiB live, 4 889.6MiB allocated; 1.2s collecting garbage

Samples

3.4s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 3.0s

ival-sin: 604.0ms (19.9% of total)

ival-mult: 478.0ms (15.7% of total)

ival-div: 437.0ms (14.4% of total)

ival-tan: 305.0ms (10% of total)

ival-cos: 304.0ms (10% of total)

const: 286.0ms (9.4% of total)

ival-<=: 227.0ms (7.5% of total)

ival-atan: 120.0ms (3.9% of total)

ival-add: 101.0ms (3.3% of total)

ival-sqrt: 53.0ms (1.7% of total)

ival-and: 40.0ms (1.3% of total)

ival-sub: 36.0ms (1.2% of total)

ival-pi: 33.0ms (1.1% of total)

exact: 12.0ms (0.4% of total)

adjust: 3.0ms (0.1% of total)

ival-assert: 3.0ms (0.1% of total)

Bogosity

explain475.0ms (2.7%)

Memory

3.8MiB live, 1 110.0MiB allocated; 62ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
184	2	(6.560925248777494e-5 0.0012839309638366103 0.12068156152963638 0.6663485169410706)	10	(0.0007876622257754207 0.002839915221557021 0.003362372051924467 0.03225530683994293)	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
184	4	(0.0004198403039481491 3.605102847359376e-6 0.017547404393553734 0.000561926222871989)	5	(0.08937475085258484 0.006101137492805719 0.6373892426490784 0.9800927042961121)	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
0	0	-	0	-	`(*.f32 alphax alphax)`
0	0	-	0	-	`(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(/.f32 alphay alphax)`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
0	0	-	0	-	`#s(literal 1/2 binary32)`
0	0	-	0	-	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u0)`
0	0	-	0	-	`u1`
0	0	-	0	-	`(*.f32 #s(literal 1/2 binary32) (PI.f32))`
0	0	-	0	-	`alphax`
0	0	-	0	-	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
0	0	-	0	-	`u0`
0	0	-	0	-	`(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))`
0	0	-	0	-	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
0	0	-	0	-	`(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`
0	0	-	0	-	`(*.f32 alphay alphay)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
0	0	-	0	-	`(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))`
0	0	-	0	-	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
0	0	-	0	-	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
0	0	-	0	-	`(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))`
0	0	-	0	-	`(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))`
0	0	-	0	-	`alphay`
0	0	-	0	-	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
0	0	-	0	-	`(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax))`
0	0	-	0	-	`(*.f32 #s(literal 2 binary32) (PI.f32))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))`	sensitivity	183	13
`tan.f32`	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`	cancellation	176	15

Confusion

	Predicted +	Predicted -
+	0	0
-	198	58

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	198	13	45

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	58
1	37
2	161

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

138.0ms	506×	0	valid
5.0ms	6×	1	valid

Compiler

Compiled 1 740 to 100 computations (94.3% saved)

Precisions

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

ival-mult: 28.0ms (24.6% of total)

ival-div: 18.0ms (15.8% of total)

ival-tan: 16.0ms (14.1% of total)

ival-cos: 14.0ms (12.3% of total)

ival-sin: 14.0ms (12.3% of total)

ival-add: 7.0ms (6.2% of total)

ival-atan: 6.0ms (5.3% of total)

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

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

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

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

preprocess366.0ms (2.1%)

Memory

9.8MiB live, 479.4MiB allocated; 157ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1260
1	638	1224
2	2432	1110
0	32	88
0	57	88
1	117	86
2	345	78
3	1245	69
4	5209	69
0	8029	66

Stop Event

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

Calls

Call 1

Inputs

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Outputs

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)))))) #s(literal -1 binary32))))

Compiler

Compiled 88 to 32 computations (63.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Status

Accuracy

Program

▶

99.4%

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))

Compiler

Compiled 88 to 32 computations (63.6% saved)

simplify197.0ms (1.1%)

Memory

-20.0MiB live, 315.8MiB allocated; 22ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff	2	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
cost-diff	3	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff	8	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	824
0	57	824
1	117	814
2	345	730
3	1245	667
4	5209	667
0	8029	632

Stop Event

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

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 alphay alphax)
alphay
alphax
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(PI.f32)
u1
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(*.f32 alphax alphax)
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))
(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)

Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)))))) #s(literal -1 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)))))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)))))) #s(literal -1 binary32))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay))))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 u0 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay))))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay))))))
(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) alphax) (.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (-.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (.f32 alphax alphax)) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)))))
(/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay alphax)
alphay
alphax
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(PI.f32)
u1
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(*.f32 alphax alphax)
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay))
(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)

localize125.0ms (0.7%)

Memory

57.8MiB live, 277.6MiB allocated; 44ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
accuracy	0.5201950195368841	(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
accuracy	11.601595364707602	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	12.230413397422895	(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))

Samples

91.0ms	253×	0	valid
2.0ms	3×	1	valid

Compiler

Compiled 826 to 34 computations (95.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-mult: 21.0ms (26.9% of total)

ival-tan: 17.0ms (21.7% of total)

ival-cos: 11.0ms (14.1% of total)

ival-div: 10.0ms (12.8% of total)

ival-sin: 7.0ms (9% of total)

ival-add: 4.0ms (5.1% of total)

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

ival-sqrt: 2.0ms (2.6% of total)

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series254.0ms (1.4%)

Memory

-2.1MiB live, 326.5MiB allocated; 117ms collecting garbage

Counts

8 → 57

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)

Outputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))))

Calls

12 calls:

Time	Variable		Point	Expression
82.0ms	u1	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (* 2 (PI)) u1))
27.0ms	alphay	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (* 2 (PI)) u1))
20.0ms	u0	@	0	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (* 2 (PI)) u1))
19.0ms	u0	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (* 2 (PI)) u1))
19.0ms	alphax	@	inf	((+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (* 2 (PI)) u1))

simplify344.0ms (1.9%)

Memory

0.5MiB live, 471.9MiB allocated; 43ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	523	15296
1	1850	12429
0	8353	11575

Stop Event

1×	iter limit
1×	node limit

Counts

57 → 57

Calls

Call 1

Inputs
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(+ (sqrt (/ 1 (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (* (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (sqrt (/ 1 (pow (- 1 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) 3))))))
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Outputs
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(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(fma.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 u1 (/.f32 (.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (PI.f32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) u1 (/.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (fma.f32 (/.f32 (.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal -4 binary32) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32)) (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32))))) (.f32 (.f32 #s(literal 4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) u1 (.f32 #s(literal 2 binary32) (/.f32 (.f32 (.f32 (PI.f32) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) u1 (.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) u1 (/.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(* 2 (* u1 (PI)))
(.f32 (.f32 (PI.f32) u1) #s(literal 2 binary32))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 (fma.f32 (/.f32 (PI.f32) u1) #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) (PI.f32))) u1)
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(.f32 (neg.f32 u1) (fma.f32 (/.f32 (PI.f32) u1) #s(literal -1/2 binary32) (.f32 #s(literal -2 binary32) (PI.f32))))
(/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphax alphax))
(/ (+ (/ (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphay 2)) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphax 2))
(/.f32 (fma.f32 (.f32 alphax alphax) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax))
(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
(/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (neg.f32 (.f32 (/.f32 alphax alphay) (/.f32 alphax alphay))) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)))) (.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)))) (.f32 alphax alphax) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphax alphax))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 (.f32 alphax alphax) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 alphay #s(literal 4 binary32))))) (.f32 alphax alphax)) (.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)))) (.f32 alphax alphax) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphax alphax))
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (/.f32 (.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
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#s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))
(/ (+ (/ (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphax 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphay 2))
(/.f32 (fma.f32 (.f32 alphay alphay) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (neg.f32 (.f32 (/.f32 alphay alphax) (/.f32 alphay alphax))) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)))) (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (fma.f32 (neg.f32 (/.f32 (.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32)))) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 alphax #s(literal 4 binary32))))) (.f32 alphay alphay)) (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
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1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))))
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binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (.f32 u0 u0))) (.f32 (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) #s(literal -3/4 binary32) (/.f32 (.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) u0)) (.f32 (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (.f32 (fma.f32 (neg.f32 (/.f32 (pow.f32 alphax #s(literal 8 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32)))) (.f32 (/.f32 (.f32 u0 u0) (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) (/.f32 (.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) u0)) (.f32 (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))) (.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 10 binary32)) u0) u0) (.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 10 binary32)) (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (/.f32 (neg.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32)))) (.f32 (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (pow.f32 alphay #s(literal 6 binary32))) (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (.f32 (/.f32 (pow.f32 alphax #s(literal 8 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (.f32 u0 u0))) (.f32 (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) #s(literal -3/4 binary32) (/.f32 (.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) u0)) (.f32 (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (pow.f32 alphay #s(literal 4 binary32))))) (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay))) (.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))

rewrite158.0ms (0.9%)

Memory

3.7MiB live, 149.6MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	315
0	57	210
1	232	193
0	2101	183

Stop Event

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

Counts

8 → 188

Calls

Call 1

Inputs
(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)

Outputs
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(pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(fabs.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(+.f32 (/.f32 (cos.f32 (.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 2 binary32)) (/.f32 (cos.f32 #s(literal 0 binary32)) #s(literal 2 binary32)))
(+.f32 (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))
(+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (atan.f32 (neg.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))))))
(+.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (log.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) #s(literal 2 binary32)))
(neg.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))))
(.f32 (.f32 u1 #s(literal 2 binary32)) (PI.f32))
(.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32))
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1)
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1))
(.f32 #s(literal 2 binary32) (.f32 u1 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) u1) (.f32 u1 (PI.f32)))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) u1) (.f32 u1 (PI.f32)))
(fma.f32 u1 (PI.f32) (*.f32 u1 (PI.f32)))
(fma.f32 (PI.f32) u1 (*.f32 u1 (PI.f32)))
(+.f32 (.f32 u1 (PI.f32)) (.f32 u1 (PI.f32)))

eval159.0ms (0.9%)

Memory: 4.3MiB live, 188.4MiB allocated; 24ms collecting garbage
Compiler: Compiled 51 055 to 4 470 computations (91.2% saved)

prune52.0ms (0.3%)

Memory

10.1MiB live, 57.0MiB allocated; 2ms collecting garbage

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	421	13	434
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	422	13	435

Accuracy

100.0%

Counts

435 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	99.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))
▶	99.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
▶	96.8%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	50.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	42.8%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (/.f32 (.f32 (*.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
	95.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
	96.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (.f32 (.f32 alphay alphay) #s(literal -1/2 binary32)) (fma.f32 (fma.f32 (neg.f32 (/.f32 u0 (.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 u0 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) #s(literal -3/4 binary32))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
	97.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (.f32 alphax alphax))) (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))
	94.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) #s(literal 1 binary32)))
	97.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
▶	50.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
▶	89.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 3 230 to 1 292 computations (60% saved)

simplify223.0ms (1.2%)

Memory

5.7MiB live, 186.4MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	2	(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
cost-diff	3	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
cost-diff	3	(.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
cost-diff	14	(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))
cost-diff	0	(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff	0	(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
cost-diff	0	(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
cost-diff	0	(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
cost-diff	0	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
cost-diff	2	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	2515
0	174	2096
1	353	1922
2	1021	1922
3	4202	1922
0	8213	1912

Stop Event

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

Calls

Call 1

Inputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))
u0
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay)
(sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(PI.f32)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax)
(cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal -1/2 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))
(*.f32 alphax alphax)
alphax
(-.f32 #s(literal 1 binary32) u0)
u0
(/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(.f32 (.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
(pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(-.f32 #s(literal 1 binary32) u0)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax))
(/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))))
(.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
#s(literal -1 binary32)
(.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(PI.f32)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(*.f32 alphax alphax)
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))
(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)

Outputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 2 binary32)))) #s(literal -1 binary32))
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u0
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(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
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(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal -1/2 binary32)
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#s(literal 1 binary32)
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(*.f32 alphax alphax)
alphax
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u0
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(/.f32 alphay alphax)
alphay
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#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
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#s(literal 1 binary32)
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(sqrt.f32 (-.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
(pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay alphax)
alphax
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(-.f32 #s(literal 1 binary32) u0)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32))))) #s(literal -1 binary32))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
(sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32))))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32))))) #s(literal -1 binary32))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(/.f32 u0 (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
(/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32)))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
(-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32)))
(.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(fma.f32 (.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 alphay alphax)) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32))
(hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
#s(literal -1 binary32)
(.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(*.f32 alphax alphax)
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) alphay) #s(literal 2 binary32))
(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))
(.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 alphay alphay)
u0
(-.f32 #s(literal 1 binary32) u0)

localize524.0ms (2.9%)

Memory

4.8MiB live, 432.4MiB allocated; 166ms collecting garbage

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	0.4873237793053261	(.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
accuracy	11.601595364707602	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	11.601595364707602	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy	0.3974800293053261	(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
accuracy	0.3984375	(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
accuracy	6.942174880512389	#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
accuracy	11.408689905289558	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	0.5201950195368841	(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
accuracy	11.408689905289558	(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy	12.230413397422895	(cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
accuracy	16.103511080149726	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
accuracy	3.2199272887550325	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
accuracy	0.49970629884221013	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
accuracy	0.5638275390737681	(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
accuracy	11.601595364707602	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	12.230413397422895	(cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))

Samples

320.0ms	251×	0	valid
16.0ms	5×	1	valid

Compiler

Compiled 2 788 to 84 computations (97% saved)

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-tan: 41.0ms (14.3% of total)

ival-cos: 38.0ms (13.2% of total)

ival-div: 32.0ms (11.1% of total)

ival-mult: 28.0ms (9.7% of total)

ival-pi: 25.0ms (8.7% of total)

ival-pow2: 23.0ms (8% of total)

ival-sin: 22.0ms (7.6% of total)

ival-sub: 17.0ms (5.9% of total)

ival-cosu: 16.0ms (5.6% of total)

ival-add: 10.0ms (3.5% of total)

ival-sinu: 9.0ms (3.1% of total)

ival-atan: 8.0ms (2.8% of total)

ival-pow: 8.0ms (2.8% of total)

ival-sqrt: 5.0ms (1.7% of total)

ival-hypot: 4.0ms (1.4% of total)

adjust: 1.0ms (0.3% of total)

exact: 1.0ms (0.3% of total)

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

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

series332.0ms (1.9%)

Memory

30.2MiB live, 441.4MiB allocated; 77ms collecting garbage

Counts

29 → 217

Calls

Call 1

Inputs
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
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(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
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(cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))

Outputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(+ 1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))
(+ 1 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
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(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (- (/ (* (pow alphax 2) (pow u0 2)) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
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(+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
(/ (+ (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow alphax 2)) (pow alphax 2))
(/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
(+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2)))))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphax 6) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphax))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(+ (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) (* -1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))))
(+ (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (pow (- 1 u0) 2)))))) (pow alphay 4)) (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))))))
(+ (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (pow (- 1 u0) 2)))))) (pow alphay 4)) (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (pow (- 1 u0) 2))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0)))) (pow alphay 6)) (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))))))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (* (pow alphay 2) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(* (pow alphay 2) (+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (pow alphay 4))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (pow alphay 6))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))

Calls

12 calls:

Time	Variable		Point	Expression
40.0ms	u1	@	-inf	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1)) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ 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28.0ms	u0	@	inf	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 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(PI) 2)))) (/ alphay alphax)) (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (* (sqrt (+ (* -1 -1) (* (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))))) (sqrt (+ (* -1 -1) (* (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (* (PI) (+ (* 2 u1) 1/2)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* u1 (* (PI) 2)))

simplify293.0ms (1.6%)

Memory

0.5MiB live, 428.4MiB allocated; 89ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1528	43189
1	5800	41397
0	8311	38625

Stop Event

1×	iter limit
1×	node limit

Counts

217 → 217

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (- (/ (* (pow alphax 2) (pow u0 2)) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
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(+ 1 (* 1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))
(/ (+ (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow alphax 2)) (pow alphax 2))
(/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))
(+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2)))))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphax 6) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphax))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))
(/ (* (pow alphay 2) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(* (pow alphay 2) (+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (pow alphay 4))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (pow alphay 6))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
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(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))

Outputs
1
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(cos (* 1/2 (PI)))
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(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
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(+ (* u1 (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
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(* 2 (* u1 (PI)))
(.f32 (.f32 (PI.f32) u1) #s(literal 2 binary32))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
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(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))
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(* -1 (* (/ (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphax) (sqrt (/ (- 1 u0) u0))))
(.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphax))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 3 binary32)) (.f32 alphax alphax))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphax))
(neg.f32 (/.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal -3/4 binary32)) (.f32 (pow.f32 alphax #s(literal 4 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) #s(literal -1/2 binary32) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 3 binary32)) (.f32 alphax alphax))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphax 6) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphax))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(.f32 (fma.f32 (-.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 alphax #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(.f32 (fma.f32 (fma.f32 (-.f32 (.f32 (neg.f32 (/.f32 (.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32)))) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (.f32 (neg.f32 (/.f32 u0 (.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (.f32 alphay alphay))
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphay alphay)) (fma.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u0 u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (/.f32 (.f32 #s(literal 1/2 binary32) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (.f32 alphay alphay) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (.f32 u0 (/.f32 (fma.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u0 u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32) (.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (.f32 alphay alphay) (fma.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 u0 u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))) (.f32 alphay alphay) (/.f32 (.f32 #s(literal 1/2 binary32) u0) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (.f32 alphay alphay) #s(literal 1 binary32))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (neg.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (.f32 (neg.f32 alphay) alphay) (fma.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)))))) (/.f32 (/.f32 u0 (.f32 alphax alphax)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)))) (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (+ (* -1 (/ u0 (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (-.f32 (.f32 (.f32 (neg.f32 alphay) alphay) (fma.f32 (/.f32 (fma.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))))) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 alphax alphax))) #s(literal -1 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphax #s(literal 6 binary32))) (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (/.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 4 binary32)) u0) (pow.f32 alphax #s(literal 6 binary32))) (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))))) (fma.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)))))) (.f32 alphay alphay)) (/.f32 (/.f32 u0 (.f32 alphax alphax)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)))) (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (.f32 alphay alphay))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (neg.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (-.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)))) (.f32 (/.f32 u0 (.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32))) (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32))) (.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)))))) (.f32 alphay alphay) (.f32 (neg.f32 (/.f32 u0 (.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (pow alphay 4))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (pow alphay 6))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))))
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#s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 6 binary32))) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 6 binary32))) (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32)))) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 4 binary32))) (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 10 binary32))) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 10 binary32))) (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 3 binary32))))) (pow.f32 alphay #s(literal 6 binary32))) #s(literal -1 binary32) (-.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (fma.f32 (neg.f32 (/.f32 (.f32 alphax alphax) (.f32 alphay alphay))) (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 4 binary32)) u0) (.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 4 binary32)))) (fma.f32 (neg.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 alphay #s(literal 4 binary32)))) (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 8 binary32)) u0) (.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 8 binary32)))) (/.f32 (/.f32 (.f32 (.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 6 binary32))) (pow.f32 alphay #s(literal 4 binary32))) (.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 6 binary32)))))))) (.f32 alphay alphay))
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(fma.f32 (neg.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay))) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))))
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))
(-.f32 (fma.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay)) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)))))
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))
(-.f32 (fma.f32 (neg.f32 (/.f32 (pow.f32 alphax #s(literal 8 binary32)) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32))) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (fma.f32 (neg.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 alphay #s(literal 4 binary32)))) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (.f32 alphay alphay)) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))))

rewrite70.0ms (0.4%)

Memory

10.8MiB live, 103.6MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	1352
0	166	1034
0	661	1032

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

29 → 153

Calls

Call 1

Inputs
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))
(.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0)
(cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))

Outputs
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))) (-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) #s(literal 3 binary32))) (fma.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (-.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (neg.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32))))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))
(+.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)))
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(sin.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1 binary32)))
(.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(exp.f32 (.f32 (log.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (neg.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) u1)) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (+.f32 (tan.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (+.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)))))
(/.f32 (sin.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))
(tan.f32 (+.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32)))
(tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32))
(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1))
(.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)))

eval332.0ms (1.9%)

Memory: 10.1MiB live, 241.7MiB allocated; 46ms collecting garbage
Compiler: Compiled 83 571 to 4 308 computations (94.8% saved)

prune41.0ms (0.2%)

Memory

11.0MiB live, 101.8MiB allocated; 10ms collecting garbage

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	451	18	469
Fresh	8	0	8
Picked	3	2	5
Done	0	0	0
Total	462	20	482

Accuracy

100.0%

Counts

482 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	97.1%	(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
	99.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
✓	96.8%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
▶	96.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	95.3%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
	49.4%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
	96.8%	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (sqrt.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
	99.4%	(.f32 (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
	94.3%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
	95.2%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
	97.6%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
▶	97.1%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
▶	50.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	48.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (+.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
▶	50.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	50.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (/.f32 (fma.f32 alphax alphax (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	50.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (.f32 alphax alphax) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))
	42.7%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1))) (fma.f32 (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal -1/2 binary32) #s(literal 1 binary32))))
✓	89.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 4 544 to 2 036 computations (55.2% saved)

simplify384.0ms (2.2%)

Memory

-47.4MiB live, 292.6MiB allocated; 68ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
cost-diff	0	(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
cost-diff	0	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
cost-diff	0	(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff	0	(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
cost-diff	0	(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
cost-diff	0	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
cost-diff	2	(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
cost-diff	2	(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	2709
0	244	2463
1	491	2363
2	1343	2363
3	5618	2363
0	8923	2363

Stop Event

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

Calls

Call 1

Inputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))))
u0
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay)
(sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
#s(literal 1/2 binary32)
(PI.f32)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax)
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
#s(literal 1 binary32)
(hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
#s(literal -1 binary32)
(.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(-.f32 #s(literal 1 binary32) u0)
#s(literal -1/2 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))
(*.f32 alphax alphax)
alphax
(-.f32 #s(literal 1 binary32) u0)
u0
(/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))
(pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
#s(literal -1 binary32)
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphay
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))
(.f32 (.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
(pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))))
(atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))
#s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(*.f32 #s(literal -1/2 binary32) (PI.f32))
#s(literal -1/2 binary32)
#s(literal 2 binary32)
(-.f32 #s(literal 1 binary32) u0)
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0))
(*.f32 alphax alphax)
alphax
(-.f32 #s(literal 1 binary32) u0)
u0
(/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))))))
(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))))
(.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/.f32 alphay alphax)
alphay
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
#s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))
(*.f32 #s(literal -2 binary32) u1)
#s(literal -2 binary32)
(.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(*.f32 #s(literal -1/2 binary32) (PI.f32))
#s(literal -1/2 binary32)

Outputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))))
u0
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))
(+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay)
(/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay)
(sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))
(.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
#s(literal 1/2 binary32)
(PI.f32)
(.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax)
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alphax
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u0
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alphax
(-.f32 #s(literal 1 binary32) u0)
u0
(/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))
(/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))
(pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))))))
(cos.f32 (atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) (/.f32 alphay alphax))))
(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))
(atan.f32 (.f32 (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) (/.f32 alphay alphax)))
(/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))))
(.f32 (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) (/.f32 alphay alphax))
(.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(/.f32 alphay alphax)
alphay
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(PI.f32)
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
#s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
#s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))
(fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (PI.f32)) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32))))
(*.f32 #s(literal -2 binary32) u1)
#s(literal -2 binary32)
(.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32))
(.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32))
(sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(*.f32 #s(literal -1/2 binary32) (PI.f32))
#s(literal -1/2 binary32)

localize1.0s (5.6%)

Memory

36.4MiB live, 799.7MiB allocated; 110ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))
accuracy	0.0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
accuracy	0.0	#s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.0	(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
accuracy	0.0	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))
accuracy	0.0	#s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
accuracy	0.0	#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.0	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
accuracy	29.98788023102775	(PI.f32)
accuracy	0.0	(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.0	(sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
accuracy	0.0	(atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
accuracy	29.98788023102775	(PI.f32)

Samples

556.0ms

256×

invalid

Compiler

Compiled 2 602 to 118 computations (95.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 483.0ms

ival-cosu: 91.0ms (18.8% of total)

ival-tan: 73.0ms (15.1% of total)

ival-mult: 52.0ms (10.8% of total)

ival-div: 44.0ms (9.1% of total)

ival-sinu: 35.0ms (7.2% of total)

ival-sin: 35.0ms (7.2% of total)

ival-cos: 33.0ms (6.8% of total)

ival-hypot: 27.0ms (5.6% of total)

ival-pi: 23.0ms (4.8% of total)

ival-pow2: 17.0ms (3.5% of total)

ival-pow: 16.0ms (3.3% of total)

ival-add: 14.0ms (2.9% of total)

ival-atan: 10.0ms (2.1% of total)

ival-sqrt: 7.0ms (1.4% of total)

ival-sub: 4.0ms (0.8% of total)

exact: 1.0ms (0.2% of total)

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

adjust: 0.0ms (0% of total)

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

series1.4s (7.6%)

Memory

-95.0MiB live, 1 113.7MiB allocated; 1.0s collecting garbage

Counts

32 → 395

Calls

Call 1

Inputs
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
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Outputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(* (/ 1 alphax) (sqrt (/ (- 1 u0) u0)))
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(/ (- 1 u0) (* (pow alphax 2) u0))
(/ (- (+ (* -1 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2)))) (/ 1 u0)) 1) (pow alphax 2))
(/ (- (+ (/ 1 u0) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (+ 1 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (* (pow alphax 6) (pow u0 4)))) (/ 1 u0)) (+ 1 (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
(/ (* (pow alphax 2) u0) (- 1 u0))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphax))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))
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(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))))
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(+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (- 1 u0)))))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))
(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 4) (pow (- 1 u0) 3))))) (* -1 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2))))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (- 1 u0)))))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))
(+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (/ 1 alphay) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))
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2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))))) u0)) (/ (* (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* 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(pow u0 2))) (+ (* -1 (/ (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) 2))) (pow u0 3))) (* 1/4 (/ (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (* (pow (- 1 u0) 3) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) 2))) (pow u0 3))))) (pow alphay 4)) (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)))))) (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ 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(* -1 (* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0))))
(* -1 (/ (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1)))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* 1/2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (* (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (- 1 u0)))) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* (pow alphay 6) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))))) alphay))
(* -1 (* (/ (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphay) (sqrt (/ (- 1 u0) u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphay))

Calls

12 calls:

Time	Variable		Point	Expression
452.0ms	u1	@	0	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin 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100.0ms	alphax	@	inf	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1)) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (PI) (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (sin (* (+ (* 2 u1) 1/2) (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2))))) (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2))))))
74.0ms	u1	@	-inf	((+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))) (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1)) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (PI) (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (* (+ (* 2 u1) 1/2) (PI))) (sin (* (+ (* 2 u1) 1/2) (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2))))) (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2))))))

simplify503.0ms (2.8%)

Memory

-1.3MiB live, 691.0MiB allocated; 133ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2897	96853
0	8704	96290

Stop Event

1×	iter limit
1×	node limit

Counts

395 → 395

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(* (/ 1 alphax) (sqrt (/ (- 1 u0) u0)))
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(/ (- 1 u0) (* (pow alphax 2) u0))
(/ (- (+ (* -1 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2)))) (/ 1 u0)) 1) (pow alphax 2))
(/ (- (+ (/ 1 u0) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (+ 1 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (* (pow alphax 6) (pow u0 4)))) (/ 1 u0)) (+ 1 (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
(/ (* (pow alphax 2) u0) (- 1 u0))
(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphax))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))
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(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))))
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(+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2)))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (- 1 u0)))))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))
(+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 4) (pow (- 1 u0) 3))))) (* -1 (/ (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 2))))))) (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (- 1 u0)))))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))))
(+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(* (/ 1 alphay) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))
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Outputs
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(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(+ 1 (* (pow alphax 2) (- (/ (* (pow alphax 2) (pow u0 2)) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
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(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))
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(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
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(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
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(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax))
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(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax))
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(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))) (* -1/2 (* (/ (+ (* 1/2 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (* (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (pow u0 4))) (pow alphax 6)) (sqrt (/ u0 (- 1 u0)))))))) alphax))
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(* -1 (* (/ (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphax) (sqrt (/ (- 1 u0) u0))))
(neg.f32 (.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) alphax) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphax))
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(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphax))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (pow.f32 u0 #s(literal 3 binary32))) #s(literal -3/4 binary32)) (.f32 (pow.f32 alphax #s(literal 4 binary32)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 3 binary32)) (.f32 alphax alphax))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))))) alphax))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphax 4) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphax 6) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphax))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(-.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (/ (pow u0 3) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))))) (* -1/2 (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))
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(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(+ 1 (* (pow alphay 2) (- (/ (* (pow alphay 2) (pow u0 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (-.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 4 binary32))) (/.f32 (.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (pow u0 3)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (-.f32 (.f32 (.f32 alphay alphay) (-.f32 (neg.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 6 binary32))) (/.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))))) (neg.f32 (/.f32 (/.f32 (.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))))
(.f32 (.f32 alphay alphay) (fma.f32 #s(literal -1 binary32) (.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 4 binary32)))) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))
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(* -1 (/ (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32)) (.f32 alphay alphay)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32))))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1)))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)))) #s(literal -3/4 binary32)) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32)) (.f32 alphay alphay)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32))))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* 1/2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (* (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (- 1 u0)))) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* (pow alphay 6) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)))) #s(literal -3/4 binary32)) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (pow.f32 alphay #s(literal 6 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))) (.f32 (.f32 (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 6 binary32)))) #s(literal -3/4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))) (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 4 binary32))) (.f32 (pow.f32 u0 #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 8 binary32))))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32)) (.f32 alphay alphay)) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 3 binary32))))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (/.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))) alphay))
(* -1 (* (/ (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphay) (sqrt (/ (- 1 u0) u0))))
(neg.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) alphay) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 3 binary32)) (.f32 alphay alphay))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (pow.f32 u0 #s(literal 3 binary32))) #s(literal -3/4 binary32)) (.f32 (pow.f32 alphay #s(literal 4 binary32)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 3 binary32)) (.f32 alphay alphay))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (pow.f32 u0 #s(literal 3 binary32))) #s(literal -3/4 binary32)) (.f32 (pow.f32 alphay #s(literal 4 binary32)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)) (.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32))) (pow.f32 u0 #s(literal 3 binary32))) #s(literal -3/4 binary32))) (-.f32 #s(literal 1 binary32) u0)) u0) (/.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 8 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 4 binary32))) (pow.f32 u0 #s(literal 4 binary32)))) (.f32 (pow.f32 alphay #s(literal 6 binary32)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 3 binary32)) (.f32 alphay alphay))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))))))) alphay))

rewrite100.0ms (0.6%)

Memory

27.8MiB live, 127.8MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1682
0	244	1290
0	968	1288

Stop Event

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

Counts

32 → 126

Calls

Call 1

Inputs
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(PI.f32)
(atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))
#s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
#s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))

Outputs
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))) (-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) #s(literal 3 binary32))) (fma.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (-.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32)))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (neg.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(/.f32 (-.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))) (-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)))
(/.f32 (-.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) #s(literal 3 binary32))) (fma.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32)) (-.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) #s(literal 3 binary32)) (pow.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (-.f32 (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32)))
(-.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (neg.f32 u1) (*.f32 #s(literal 2 binary32) (PI.f32))))
(fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 u1 (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (PI.f32) #s(literal 1/2 binary32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))
(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))
(.f32 (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) (+.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 3 binary32)) (pow.f32 #s(literal -1 binary32) #s(literal 3 binary32))) (fma.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)))))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))) #s(literal 1/2 binary32))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
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(pow.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) #s(literal 1 binary32)) (-.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(-.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal -1 binary32))
(fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(fma.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) #s(literal -1 binary32) (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))
(+.f32 (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(cbrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(exp.f32 (log.f32 (PI.f32)))
(PI.f32)
(atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(/.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) (hypot.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal -1 binary32)))
(sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(/.f32 (+.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)))))
(/.f32 (+.f32 (tan.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (.f32 (tan.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(/.f32 (sin.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32)))))
(tan.f32 (+.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32))) (PI.f32)))
(tan.f32 (fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 (PI.f32) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
#s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))) #s(literal 2 binary32))))
#s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
#s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos (* (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 (.f32 #s(literal -2 binary32) u1) (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))

eval642.0ms (3.6%)

Memory: 13.1MiB live, 337.5MiB allocated; 78ms collecting garbage
Compiler: Compiled 161 513 to 5 606 computations (96.5% saved)

prune61.0ms (0.3%)

Memory

6.0MiB live, 192.3MiB allocated; 19ms collecting garbage

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	580	18	598
Fresh	9	4	13
Picked	4	1	5
Done	1	1	2
Total	594	24	618

Accuracy

100.0%

Counts

618 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	98.1%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
▶	97.1%	(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
	99.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
✓	96.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	97.6%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
	96.8%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	97.8%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
	97.1%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
▶	97.1%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
	93.5%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
▶	93.4%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
	93.5%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) #s(approx (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))
	96.0%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) #s(approx (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 alphay alphay) (.f32 (/.f32 (/.f32 (.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))))))
	50.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
	50.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (+ (* 2 u1) 1/2) (PI))) (+.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 (PI.f32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	49.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (+.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 u1 (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	50.5%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
	50.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))))))
▶	86.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
	50.1%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)))))))))))
	50.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (/.f32 (fma.f32 alphax alphax (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	42.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (.f32 (.f32 (.f32 alphax alphax) u0) (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))) #s(literal 2 binary32))))))))))
✓	89.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 5 820 to 2 743 computations (52.9% saved)

simplify253.0ms (1.4%)

Memory

6.4MiB live, 224.8MiB allocated; 37ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
cost-diff	0	(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
cost-diff	0	#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
cost-diff	0	(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
cost-diff	0	(sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))))
cost-diff	0	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
cost-diff	1	(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
cost-diff	1	(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))))
cost-diff	0	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
cost-diff	1	(-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))))
cost-diff	0	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
cost-diff	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))
cost-diff	0	(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
cost-diff	0	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
cost-diff	1	(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
cost-diff	2	(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	2175
0	236	2081
1	479	2009
2	1347	2005
3	6025	1993
0	9186	1908

Stop Event

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

Calls

Call 1

Inputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))))
u0
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay)
(sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))
(.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax))
(tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))
#s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI.f32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
#s(literal 1/2 binary32)
(*.f32 #s(literal 2 binary32) u1)
#s(literal 2 binary32)
u1
(/.f32 alphay alphax)
alphay
alphax
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax)
(/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
#s(literal 1 binary32)
(hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
#s(literal -1 binary32)
(.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))
(tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 2 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(-.f32 #s(literal 1 binary32) u0)
#s(literal -1/2 binary32)
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(literal 1 binary32)
#s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))
(/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))
(.f32 (.f32 alphax alphax) u0)
(*.f32 alphax alphax)
alphax
u0
(-.f32 #s(literal 1 binary32) u0)
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))
#s(literal 1 binary32)
(-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))
(/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))
(.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(*.f32 alphay alphay)
alphay
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))
(atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphax
#s(literal -1 binary32)
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
(sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))))
#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))
#s(literal 1 binary32)
(neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))
(.f32 (.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))
(sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(PI.f32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
#s(literal 1/2 binary32)
(*.f32 #s(literal 2 binary32) u1)
#s(literal 2 binary32)
u1
(cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
#s(literal -1/2 binary32)

Outputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32)))) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32)))) #s(literal -1 binary32))
(/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32))))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))))
(/.f32 u0 (+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32))))
u0
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))
(+.f32 (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) alphax) (hypot.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal -1 binary32))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay)
(/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) alphay)
(sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax))))
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#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))
#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))
#s(literal 1 binary32)
(neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))
(/.f32 (.f32 (.f32 (neg.f32 u0) alphay) alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))
(.f32 (.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))))
(sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))
(atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))))
(.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))
(/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(PI.f32)
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 1/2 binary32)
(*.f32 #s(literal 2 binary32) u1)
#s(literal 2 binary32)
u1
(cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 alphay u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -1/2 binary32))
#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 alphay u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(fma.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 alphay u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))
(pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))))
(sin.f32 (atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))
(atan.f32 (.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 alphay alphax)
alphax
(/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
#s(literal 2 binary32)
u1
#s(literal 1/2 binary32)
(PI.f32)
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
#s(literal -1/2 binary32)

localize649.0ms (3.6%)

Memory

-32.6MiB live, 515.2MiB allocated; 78ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.34603500976844204	(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))
accuracy	0.3974800293053261	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	0.9289249687005687	#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
accuracy	11.408689905289558	(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.3974800293053261	(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
accuracy	0.9198293759863558	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
accuracy	2.0945859917149035	#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))
accuracy	11.408689905289558	(cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
accuracy	0.34603500976844204	(.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
accuracy	0.3974800293053261	(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy	0.9198293759863558	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
accuracy	11.601595364707602	(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy	0.28125	(.f32 (.f32 alphax alphax) u0)
accuracy	0.3125	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))
accuracy	16.103511080149726	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
accuracy	16.315012310534883	#s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))
accuracy	0.49970629884221013	(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
accuracy	0.5638275390737681	(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))
accuracy	11.601595364707602	(tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy	11.601595364707602	(tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))

Samples

498.0ms

256×

valid

Compiler

Compiled 1 955 to 119 computations (93.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 442.0ms

ival-mult: 88.0ms (19.9% of total)

ival-sin: 73.0ms (16.5% of total)

ival-div: 61.0ms (13.8% of total)

ival-cosu: 58.0ms (13.1% of total)

ival-pow: 34.0ms (7.7% of total)

ival-tan: 22.0ms (5% of total)

ival-sinu: 17.0ms (3.8% of total)

ival-pow2: 16.0ms (3.6% of total)

ival-cos: 14.0ms (3.2% of total)

ival-add: 14.0ms (3.2% of total)

ival-atan: 12.0ms (2.7% of total)

ival-tanu: 10.0ms (2.3% of total)

ival-hypot: 8.0ms (1.8% of total)

ival-sqrt: 6.0ms (1.4% of total)

ival-sub: 5.0ms (1.1% of total)

ival-pi: 1.0ms (0.2% of total)

exact: 1.0ms (0.2% of total)

ival-neg: 1.0ms (0.2% of total)

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

adjust: 0.0ms (0% of total)

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

series530.0ms (3%)

Memory

32.9MiB live, 456.2MiB allocated; 131ms collecting garbage

Counts

33 → 318

Calls

Call 1

Inputs
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))
(-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
(sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
(tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))
(tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
#s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))
(.f32 (.f32 alphax alphax) u0)
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))

Outputs
1
(+ 1 (* -1/2 (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(+ 1 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(* (pow alphax 2) u0)
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(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
1/2
(+ 1/2 (* 2 u1))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(- 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))
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(/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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(/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
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(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))
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(+ 1 (+ (* u1 (+ (/ (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4)))))))) (- 1 u0)) (/ (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (- 1 u0)))) (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0))))
(+ 1 (+ (* u1 (+ (* u1 (+ (/ (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* -8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (cos (* 1/2 (PI))))) (+ (/ (* (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (pow (cos (* 1/2 (PI))) 2)) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))))) (- 1 u0)) (/ (* (pow alphax 2) (* u0 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (- 1 u0)))) (/ (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (- 1 u0)))) (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(+ (* u1 (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* u1 (- (* u1 (- (* -4/3 (/ (* alphay (pow (PI) 3)) alphax)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (* 4/3 (/ (* alphay (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) (- 1 u0))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0)))))
(/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0))))
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))
(/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))
(+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0)))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
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(/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (- 1 u0))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (- 1 u0)))))
(- 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2)))
(/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2))
(+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (- 1 u0)))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
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(* (/ 1 alphax) (sqrt (/ (- 1 u0) u0)))
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(/ (- 1 u0) (* (pow alphax 2) u0))
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(/ (- (+ (/ 1 u0) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (+ 1 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (* (pow alphax 6) (pow u0 4)))) (/ 1 u0)) (+ 1 (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
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(/ 1 (pow alphax 2))
(/ (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))
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(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax))
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(* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0)))
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(/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(/ (- (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (pow (- 1 u0) 2))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (/ (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphay) (sqrt (/ (- 1 u0) u0)))
(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay)
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(/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) (* (pow alphay 2) u0))
(/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) u0)) (pow alphay 2))
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(/ (- (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (* (pow alphay 6) (pow u0 4)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) u0)) (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
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(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))
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(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))
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(/ (- (+ (* -1 (/ (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (pow alphay 2))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0))))
(* -1 (/ (+ (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)) (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (pow (- 1 u0) 3)) (pow u0 3)))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphay))

Calls

12 calls:

Time	Variable		Point	Expression
74.0ms	alphax	@	0	((+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (+ 1/2 (* 2 u1)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1))) (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1)) (+ 1 (neg (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2))) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (* (* alphax alphax) u0) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (PI) (+ 1/2 (* 2 u1)))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (* (PI) (+ 1/2 (* 2 u1))) (cos (* (+ (* 2 u1) 1/2) (PI))) (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))
69.0ms	alphay	@	-inf	((+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (+ 1/2 (* 2 u1)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1))) (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1)) (+ 1 (neg (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2))) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (* (* alphax alphax) u0) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (PI) (+ 1/2 (* 2 u1)))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (* (PI) (+ 1/2 (* 2 u1))) (cos (* (+ (* 2 u1) 1/2) (PI))) (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))
42.0ms	u1	@	0	((+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (+ 1/2 (* 2 u1)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1))) (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1)) (+ 1 (neg (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2))) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (* (* alphax alphax) u0) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (PI) (+ 1/2 (* 2 u1)))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (* (PI) (+ 1/2 (* 2 u1))) (cos (* (+ (* 2 u1) 1/2) (PI))) (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))
20.0ms	u0	@	-inf	((+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (+ 1/2 (* 2 u1)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1))) (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1)) (+ 1 (neg (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2))) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (* (* alphax alphax) u0) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (PI) (+ 1/2 (* 2 u1)))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (* (PI) (+ 1/2 (* 2 u1))) (cos (* (+ (* 2 u1) 1/2) (PI))) (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))
18.0ms	u1	@	inf	((+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (+ 1/2 (* 2 u1)) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2))) (- 1 u0)) -1) (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1)) (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1))) (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1)) (+ 1 (neg (/ (* (* alphay alphay) u0) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2))) (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (* (* alphax alphax) u0) (tan (* (+ (* 2 u1) 1/2) (PI))) (* (+ (* 2 u1) 1/2) (PI)) (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (PI) (+ 1/2 (* 2 u1)))) (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (* (PI) (+ 1/2 (* 2 u1))) (cos (* (+ (* 2 u1) 1/2) (PI))) (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))

simplify365.0ms (2.1%)

Memory

24.0MiB live, 531.0MiB allocated; 85ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2477	78682
0	8300	73525

Stop Event

1×	iter limit
1×	node limit

Counts

318 → 318

Calls

Call 1

Inputs
1
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(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(+ 1 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
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(* (pow alphax 2) u0)
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(* 1/2 (PI))
(+ (* 1/2 (PI)) (* 2 (* u1 (PI))))
1/2
(+ 1/2 (* 2 u1))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(- 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))
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(/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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(/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))))))
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(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))
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(+ 1 (+ (* u1 (+ (/ (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4)))))))) (- 1 u0)) (/ (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (- 1 u0)))) (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0))))
(+ 1 (+ (* u1 (+ (* u1 (+ (/ (* (pow alphax 2) (* u0 (* u1 (- (/ (* (pow alphay 2) (+ (* -8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* -8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (cos (* 1/2 (PI))))) (+ (/ (* (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3)))))) (pow (cos (* 1/2 (PI))) 2)) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* 8/3 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI)))))) (* 8 (* (pow (PI) 3) (* (cos (* 1/2 (PI))) (sin (* 1/2 (PI))))))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))))) (- 1 u0)) (/ (* (pow alphax 2) (* u0 (- (/ (* (pow alphay 2) (+ (* -4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2))) (+ (* -4 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (cos (* 1/2 (PI))))) (/ (* (pow alphay 2) (* (pow (sin (* 1/2 (PI))) 2) (+ (* -4 (* (pow (PI) 2) (pow (cos (* 1/2 (PI))) 2))) (* 4 (* (pow (PI) 2) (pow (sin (* 1/2 (PI))) 2)))))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 4))))))) (- 1 u0)))) (/ (* (pow alphax 2) (* u0 (- (* 4 (/ (* (pow alphay 2) (* (PI) (sin (* 1/2 (PI))))) (* (pow alphax 2) (cos (* 1/2 (PI)))))) (* -4 (/ (* (pow alphay 2) (* (PI) (pow (sin (* 1/2 (PI))) 3))) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 3))))))) (- 1 u0)))) (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))))) (- 1 u0))))
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax))
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(cos (* 1/2 (PI)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(+ (* u1 (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* u1 (- (* u1 (- (* -4/3 (/ (* alphay (pow (PI) 3)) alphax)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (* 4/3 (/ (* alphay (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(* 2 (* u1 (PI)))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(* 2 u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
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(+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) (- 1 u0))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0)))))
(/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0))))
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))
(/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))
(+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0)))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
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(/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (- 1 u0))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (- 1 u0))))))
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (- 1 u0)))))
(- 1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2)))
(/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2))
(+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (- 1 u0)))
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1)))))
(/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))
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(* (/ 1 alphax) (sqrt (/ (- 1 u0) u0)))
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(/ (- 1 u0) (* (pow alphax 2) u0))
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(/ (- (+ (/ 1 u0) (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (+ 1 (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2))))) (pow alphax 2))
(/ (- (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 4)) (* (pow alphax 6) (pow u0 4)))) (/ 1 u0)) (+ 1 (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (* (pow alphax 4) (pow u0 3)))) (/ (* (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow (- 1 u0) 2)) (* (pow alphax 2) (pow u0 2)))))) (pow alphax 2))
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(/ 1 (pow alphax 2))
(/ (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))
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(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax))
(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax))
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(* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0)))
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(/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))))
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(/ (- (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (pow (- 1 u0) 2))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
(* (/ (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphay) (sqrt (/ (- 1 u0) u0)))
(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay)
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(/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) (* (pow alphay 2) u0))
(/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) u0)) (pow alphay 2))
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(/ (- (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (* (pow alphay 6) (pow u0 4)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) u0)) (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (* (pow alphay 4) (pow u0 3)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2))))) (pow alphay 2))
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(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))
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(/ (+ (* -1 (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (pow alphay 2))
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(/ (- (+ (* -1 (/ (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)) (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8)))) (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))) (+ (* -1 (/ (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)))) (/ (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))))) (pow alphay 2))
(/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))
(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (+ (/ (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0))) (/ (* (pow alphax 2) u0) (* (pow alphay 2) (- 1 u0))))))
(* -1 (* (/ 1 alphay) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0))))
(* -1 (/ (+ (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)) (* -1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (pow (- 1 u0) 3)) (pow u0 3)))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphay))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1/2 (/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))))) #s(literal 1 binary32))
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
(fma.f32 u0 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) u0) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))))))) (/.f32 #s(literal 1/2 binary32) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))) #s(literal 1 binary32))
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))))
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(fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* u0 (- (* -1 (* u0 (+ (* -1 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))
(fma.f32 u0 (-.f32 (neg.f32 (.f32 u0 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 4 binary32))) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+ 1 (* u0 (- (* u0 (- (* -1 (* u0 (+ (* -1 (/ (* (pow alphay 2) (+ (* -1 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (+ (* -1 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))) (+ (* -1 (/ (pow alphay 4) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)))))
(fma.f32 u0 (-.f32 (.f32 u0 (-.f32 (neg.f32 (.f32 u0 (fma.f32 #s(literal -1 binary32) (.f32 (.f32 alphay alphay) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 4 binary32))) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))) (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 4 binary32))) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 4 binary32))) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))))) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)))) #s(literal 1 binary32))
(+ 1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))
(+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(fma.f32 u0 (/.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(fma.f32 u0 (fma.f32 u0 (/.f32 (+.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay))))) #s(literal 1 binary32))
(+ 1 (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))
(fma.f32 (.f32 (.f32 alphax alphax) u0) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(fma.f32 u0 (.f32 (.f32 alphax alphax) (fma.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* u0 (- (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (* -1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))))) (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2))))))))
(fma.f32 u0 (fma.f32 u0 (.f32 (.f32 alphax alphax) (fma.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))) (.f32 (.f32 alphax alphax) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(* (pow alphax 2) u0)
(.f32 (.f32 alphax alphax) u0)
(sqrt (/ 1 (- 1 (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))))))))
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(cos (* 1/2 (PI)))
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(fma.f32 u1 (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (.f32 (PI.f32) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI))))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 (.f32 #s(literal 4/3 binary32) u1) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (PI.f32))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 #s(literal -2 binary32) (.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+ (* u1 (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 u1 (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 alphay (PI.f32)) alphax) (.f32 #s(literal 2 binary32) (.f32 (/.f32 alphay alphax) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
(fma.f32 u1 (fma.f32 #s(literal 2 binary32) (fma.f32 alphay (/.f32 (PI.f32) alphax) (.f32 u1 (/.f32 (.f32 (.f32 (PI.f32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 #s(literal 2 binary32) (/.f32 (.f32 alphay (PI.f32)) alphax) (.f32 #s(literal 2 binary32) (.f32 (/.f32 alphay alphax) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))))))) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (.f32 #s(literal 2 binary32) (.f32 (/.f32 alphay alphax) (/.f32 (.f32 (PI.f32) (pow.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (pow.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)))))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* u1 (- (* u1 (- (* -4/3 (/ (* alphay (pow (PI) 3)) alphax)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (* 4/3 (/ (* alphay (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))))
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(* 2 (* u1 (PI)))
(.f32 (.f32 #s(literal 2 binary32) u1) (PI.f32))
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI))))
(.f32 u1 (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u1))))
(* 2 u1)
(*.f32 #s(literal 2 binary32) u1)
(* u1 (+ 2 (* 1/2 (/ 1 u1))))
(*.f32 u1 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 2 binary32)))
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) (- 1 u0))))))
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(+ 1 (/ u0 (* (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) (- 1 u0))))
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(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphax alphax) (/.f32 (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
(/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 alphax alphax) (/.f32 (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))))
(/.f32 (/.f32 #s(literal 1 binary32) (.f32 alphax alphax)) (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2)))))) (- 1 u0)))
(fma.f32 (.f32 alphax alphax) (/.f32 (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(/ (sin (* (PI) (+ 1/2 (* 2 u1)))) (cos (* (PI) (+ 1/2 (* 2 u1)))))
(/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))
(/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))
(cos (* (PI) (+ 1/2 (* 2 u1))))
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1)))))
(neg.f32 (.f32 u1 (fma.f32 #s(literal -2 binary32) (PI.f32) (.f32 #s(literal -1/2 binary32) (/.f32 (PI.f32) u1)))))
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) (* u0 (+ 1 (/ (* (pow alphay 2) (pow (sin (* (PI) (- 1/2 (* -2 u1)))) 2)) (* (pow alphax 2) (pow (cos (* (PI) (- 1/2 (* -2 u1)))) 2)))))) (- 1 u0)))))
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(/ (+ 1 (* -1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))
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(/ (- (+ 1 (/ (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)))) (pow alphax 2))
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(/ (- (+ 1 (* -1 (/ (* (pow alphay 6) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6)) (* (pow alphax 6) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))))) (+ (* -1 (/ (* (pow alphay 4) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 4) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)))) (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2))))) (pow alphax 2))
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(* (pow alphax 2) (+ (/ 1 (pow alphax 2)) (+ (/ u0 (- 1 u0)) (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow alphax 2) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))))))
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(* -1 (* (/ 1 alphax) (sqrt (/ (- 1 u0) u0))))
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(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3)))))) alphax))
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(* -1 (/ (+ (sqrt (/ (- 1 u0) u0)) (+ (* -1/2 (* (/ (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) (pow alphax 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* -1/2 (* (/ (+ (* -1 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (+ 1 (/ (* (pow alphay 2) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2))) (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)))) 2) (pow (- 1 u0) 3)) (pow u0 3)))) (pow alphax 4)) (sqrt (/ u0 (- 1 u0))))))) alphax))
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(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)))
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(/ (- (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow alphay 6) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (- 1 u0)) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow alphay 4) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (pow (- 1 u0) 2))) (* (pow alphay 2) (* (pow u0 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 4)))))) (pow alphay 2))
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(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))
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(* (pow alphay 2) (+ (/ 1 (pow alphay 2)) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))
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(* (/ (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphay) (sqrt (/ (- 1 u0) u0)))
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(/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphay)
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(/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphay)
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(/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) (* (pow alphay 2) u0))
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(/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)) (* (pow alphay 2) (pow u0 2)))) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)) u0)) (pow alphay 2))
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(* -1 (* (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (* alphay (sin (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ (- 1 u0) u0))))
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(* -1 (/ (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))) alphay))
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(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1)))))))) alphay))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32)))) (.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)))) #s(literal -3/4 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (.f32 alphay alphay)) (/.f32 (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32))))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))))) (* (pow alphay 4) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (sin (* (PI) (+ 1/2 (* 2 u1)))) (+ (* 1/2 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 2) (* (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) (* (+ (* -1 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6)))) (* 1/4 (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 2) (pow (- 1 u0) 3))) (* (pow u0 3) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 6))))) (- 1 u0)))) (* u0 (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 2)))) (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0))) 3) (pow (- 1 u0) 4))) (* (pow u0 4) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 8))))) (* (pow alphay 6) (cos (* (PI) (+ 1/2 (* 2 u1)))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (* (pow (cos (* (PI) (+ 1/2 (* 2 u1)))) 3) (+ 1 (/ (* (pow alphax 2) u0) (- 1 u0)))) (* (pow alphay 2) (pow (sin (* (PI) (+ 1/2 (* 2 u1)))) 3))) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (/ (cos (* (PI) (+ 1/2 (* 2 u1)))) (sin (* (PI) (+ 1/2 (* 2 u1))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32)))) (.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)))) #s(literal -3/4 binary32)) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (pow.f32 alphay #s(literal 6 binary32))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) (.f32 (.f32 (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32)))) (.f32 (pow.f32 u0 #s(literal 3 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 6 binary32)))) #s(literal -3/4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (.f32 u0 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)))) (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 8 binary32)) (.f32 (pow.f32 (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 4 binary32)))) (.f32 (pow.f32 u0 #s(literal 4 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 8 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (pow.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32)) (.f32 alphay alphay)) (/.f32 (fma.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 3 binary32))))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (/.f32 (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))) alphay))
(* -1 (* (/ (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) alphay) (sqrt (/ (- 1 u0) u0))))
(neg.f32 (.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphay) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))))
(* -1 (/ (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32)) (.f32 alphay alphay))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (/.f32 (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal -3/4 binary32)) (.f32 (pow.f32 alphay #s(literal 4 binary32)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32)) (.f32 alphay alphay))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) alphay))
(* -1 (/ (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (* (pow alphay 4) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (+ (* 1/2 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (* (+ (* -1 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3))) (* 1/4 (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 3)) (pow u0 3)))) (- 1 u0))) u0)) (/ (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (pow (- 1 u0) 4)) (pow u0 4))) (* (pow alphay 6) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (sqrt (/ u0 (- 1 u0))))) (+ (* -1/2 (* (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 3) (pow alphay 2)) (sqrt (/ (pow (- 1 u0) 3) (pow u0 3))))) (* (sqrt (/ (- 1 u0) u0)) (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) alphay))
(neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal -3/4 binary32)) (.f32 (pow.f32 alphay #s(literal 4 binary32)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32)) (/.f32 (.f32 (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 6 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) #s(literal -3/4 binary32)) (-.f32 #s(literal 1 binary32) u0)) u0)) (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 8 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 4 binary32)) (pow.f32 u0 #s(literal 4 binary32))))) (.f32 (pow.f32 alphay #s(literal 6 binary32)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))))))) (sqrt.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 3 binary32)) (.f32 alphay alphay))) (sqrt.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) #s(literal 3 binary32))) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0)) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))))))) alphay))

rewrite92.0ms (0.5%)

Memory

-14.0MiB live, 113.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	1365
0	236	1072
0	985	1062

Stop Event

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

Counts

33 → 160

Calls

Call 1

Inputs
(fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))
(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))
(-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
(sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32)))))))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
#s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))
(/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))
(tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))
(tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
#s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0))))
(.f32 (.f32 alphax alphax) u0)
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))
#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))
(.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))

Outputs
(/.f32 (-.f32 (.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (-.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)))))))
(-.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32)))
(-.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(-.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 (neg.f32 u1) (*.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (.f32 u1 (PI.f32)) #s(literal 2 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 (PI.f32) #s(literal 2 binary32)) u1 (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal 2 binary32) (.f32 (PI.f32) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(+.f32 (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (.f32 u1 #s(literal 2 binary32)) (.f32 u1 #s(literal 2 binary32))) #s(literal 1/4 binary32)) (-.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(/.f32 (-.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 #s(literal 2 binary32)) (.f32 u1 #s(literal 2 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))
(/.f32 (+.f32 (pow.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 #s(literal 1/2 binary32) #s(literal 3 binary32))) (fma.f32 (.f32 u1 #s(literal 2 binary32)) (.f32 u1 #s(literal 2 binary32)) (-.f32 #s(literal 1/4 binary32) (.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))
(/.f32 (+.f32 (pow.f32 #s(literal 1/2 binary32) #s(literal 3 binary32)) (pow.f32 (.f32 u1 #s(literal 2 binary32)) #s(literal 3 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (.f32 (.f32 u1 #s(literal 2 binary32)) (.f32 u1 #s(literal 2 binary32))) (.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 2 binary32))))))
(-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -2 binary32) u1))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))
(+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 2 binary32)))
(.f32 (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
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(tan.f32 (+.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)))
(tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))
(.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 1 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 1 binary32)))
(.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax))
(.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (.f32 alphax alphax)))
(/.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphax)
(/.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (neg.f32 (.f32 alphax alphax)))
(/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (.f32 alphax alphax))
(pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphax)) #s(literal 2 binary32)))
(.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 1 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay) #s(literal 2 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphay)) #s(literal 2 binary32)))
#s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))
(.f32 (.f32 alphax alphax) u0)
(.f32 alphax (.f32 alphax u0))
(.f32 u0 (.f32 alphax alphax))
(/.f32 (neg.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(tan.f32 (fma.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32) (PI.f32)))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (.f32 u1 #s(literal 2 binary32)) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (.f32 u1 #s(literal 2 binary32)) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 (PI.f32) (*.f32 u1 #s(literal 2 binary32))))
(.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax)
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(sin.f32 (fma.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
#s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (.f32 u1 #s(literal 2 binary32)) (PI.f32)))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (.f32 u1 #s(literal 2 binary32)) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 (PI.f32) (.f32 u1 #s(literal 2 binary32))))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))
(+.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 (PI.f32) (*.f32 u1 #s(literal 2 binary32))))
(sin.f32 (fma.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (neg.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(.f32 (/.f32 alphay alphax) (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 (.f32 alphay (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax)
(/.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 alphay (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (.f32 alphax (cos.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (.f32 (sin.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))

eval193.0ms (1.1%)

Memory: -16.2MiB live, 251.4MiB allocated; 33ms collecting garbage
Compiler: Compiled 122 861 to 4 726 computations (96.2% saved)

prune89.0ms (0.5%)

Memory

-11.4MiB live, 225.5MiB allocated; 8ms collecting garbage

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	458	20	478
Fresh	10	7	17
Picked	4	1	5
Done	0	2	2
Total	472	30	502

Accuracy

100.0%

Counts

502 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( (* 2 (PI)) u1) (* (PI) 1/2)) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	91.9%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) #s(approx (pow (/ (/ 1 (sqrt (+ (* -1 -1) (* (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* (PI) 1/2)))))))) alphax) 2) (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax))))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	98.1%	(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
	97.1%	(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
	99.5%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
✓	96.4%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
	96.8%	(.f32 (pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan ( (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/4 binary32)) (pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan ( (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/4 binary32)))
	97.6%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
	96.8%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
	97.8%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
	97.1%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
✓	97.1%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
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	93.4%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	93.2%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))))))))
	93.9%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) #s(approx (+ 1/2 (* 2 u1)) #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
	93.5%	#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) #s(approx (sqrt (/ 1 (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))
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	87.0%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
	50.2%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (+ (* 2 u1) 1/2) (PI))) (+.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 (PI.f32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	49.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (+.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 u1 (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
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	87.0%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
	87.0%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
	87.0%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
	86.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
	50.6%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (/.f32 (fma.f32 alphax alphax (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
	42.3%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
✓	89.9%	#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Compiler

Compiled 12 726 to 2 481 computations (80.5% saved)

regimes245.0ms (1.4%)

Memory

11.2MiB live, 394.9MiB allocated; 25ms collecting garbage

Counts

70 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32))))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(.f32 (pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan ( (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/4 binary32)) (pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan ( (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/4 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) #s(literal 1 binary32)))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) (hypot.f32 #s(literal -1 binary32) (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) #s(approx (sqrt (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 alphay alphay) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 alphay alphay) (.f32 (/.f32 (/.f32 (.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(.f32 (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (.f32 (.f32 alphay alphay) #s(literal -1/2 binary32)) (fma.f32 (fma.f32 (neg.f32 (/.f32 u0 (.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 u0 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) #s(literal -3/4 binary32))) (.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (.f32 (.f32 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alphay #s(literal 4 binary32)) (.f32 alphax alphax))) (.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))

Outputs

(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* (PI) 1/2)) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))

Calls

13 calls:

30.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
30.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
19.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)
18.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
17.0ms	alphay

Results

Accuracy	Segments	Branch
99.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
99.9%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.9%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.9%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.9%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.9%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.9%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.9%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.9%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.9%	1	`u0`
99.9%	1	`u1`
99.9%	1	`alphax`
99.9%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes261.0ms (1.5%)

Memory

19.4MiB live, 258.0MiB allocated; 13ms collecting garbage

Counts

55 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
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#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (/.f32 (fma.f32 alphax alphax (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (sqrt.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (+.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (+ (* 2 u1) 1/2) (PI))) (+.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 (PI.f32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (+.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 u1 (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) #s(approx (+ 1/2 ( 2 u1)) #s(literal 1/2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))

Outputs

(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))

Calls

13 calls:

48.0ms	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
39.0ms	u1
36.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
15.0ms	alphay

Results

Accuracy	Segments	Branch
99.5%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
99.5%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
99.5%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
99.5%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
99.5%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
99.5%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
99.5%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
99.5%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
99.5%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
99.5%	1	`u0`
99.5%	1	`u1`
99.5%	1	`alphax`
99.5%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes198.0ms (1.1%)

Memory

8.6MiB live, 199.3MiB allocated; 11ms collecting garbage

Counts

52 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
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#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (/.f32 (fma.f32 alphax alphax (.f32 (.f32 alphax alphax) u0)) (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) u0 #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0)))) (sqrt.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (sin.f32 (+.f32 (atan.f32 (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) (/.f32 (PI.f32) #s(literal 2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(approx (cos ( (+ (* 2 u1) 1/2) (PI))) (+.f32 (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 #s(literal -2 binary32) (.f32 (.f32 u1 (PI.f32)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(pow.f32 #s(approx (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))) #s(literal -1/2 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (.f32 (/.f32 alphay alphax) (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) #s(approx (cos ( (PI) (+ (* 2 u1) 1/2))) (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (/.f32 (.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (+.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (.f32 u1 (fma.f32 (.f32 #s(literal -2 binary32) u1) (.f32 (.f32 (PI.f32) (PI.f32)) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) (cos.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (/.f32 alphay alphax)) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))

Outputs

#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))

Calls

13 calls:

37.0ms	u0
24.0ms	alphay
14.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
12.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
12.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))

Results

Accuracy	Segments	Branch
97.8%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
97.8%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.8%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.8%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
97.8%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
97.8%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.8%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.8%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.8%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.8%	1	`u0`
97.8%	1	`u1`
97.8%	1	`alphax`
97.8%	1	`alphay`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes209.0ms (1.2%)

Memory

7.5MiB live, 194.1MiB allocated; 13ms collecting garbage

Counts

37 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
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#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (fma.f32 (.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2))) 1) (fma.f32 (.f32 alphax alphax) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (- (/ (* (* alphay alphay) (/ u0 (- 1 u0))) (pow (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2)) -1) (fma.f32 (.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 #s(approx (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))) (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1)))) (cos.f32 (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)))))))) #s(literal 2 binary32))))))))

Outputs

#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))

Calls

13 calls:

60.0ms	u1
37.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
16.0ms	alphax
15.0ms	(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
9.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))

Results

Accuracy	Segments	Branch
97.1%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
97.1%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.1%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
97.1%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.1%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.1%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.1%	1	`alphax`
97.1%	1	`alphay`
97.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
97.1%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.1%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.1%	1	`u0`
97.1%	1	`u1`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes88.0ms (0.5%)

Memory

-20.9MiB live, 82.6MiB allocated; 8ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))

Outputs

#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))

Calls

13 calls:

19.0ms	u1
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
5.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
5.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
5.0ms	(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)

Results

Accuracy	Segments	Branch
97.1%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
97.1%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
97.1%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
97.1%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
97.1%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
97.1%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
97.1%	1	`u0`
97.1%	1	`alphax`
97.1%	1	`alphay`
97.1%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
97.1%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
97.1%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
97.1%	1	`u1`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes89.0ms (0.5%)

Memory

-12.1MiB live, 79.7MiB allocated; 5ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(approx (sqrt (/ 1 (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1))) (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 alphax alphax)) (.f32 u0 (fma.f32 (/.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (*.f32 alphax (/.f32 alphax (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))

Outputs

#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (*.f32 (*.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))

Calls

13 calls:

30.0ms	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
16.0ms	(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
4.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
4.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
4.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))

Results

Accuracy	Segments	Branch
93.4%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
93.4%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
93.4%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
93.4%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
93.4%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
93.4%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
93.4%	1	`u0`
93.4%	1	`alphax`
93.4%	1	`alphay`
93.4%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
93.4%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
93.4%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
93.4%	1	`u1`

Compiler

Compiled 522 to 219 computations (58% saved)

regimes57.0ms (0.3%)

Memory

16.4MiB live, 61.2MiB allocated; 4ms collecting garbage

Accuracy

Total -1.1b remaining (-33.8%)

Threshold costs -1.1b (-33.8%)

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 (*.f32 alphax alphax) u0 #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (fma.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 alphax alphax) u0) (-.f32 #s(literal 1 binary32) u0)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (fma.f32 u0 (fma.f32 u0 (fma.f32 (.f32 alphax alphax) u0 (.f32 #s(literal 1 binary32) (.f32 alphax alphax))) (.f32 alphax alphax)) #s(literal 1 binary32)))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) #s(approx (+ 1 (/ (* (* alphax alphax) u0) (- 1 u0))) (.f32 (.f32 alphax alphax) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (* alphax alphax) (- 1 u0)) (/ u0 (pow (/ 1 (sqrt (+ (* -1 -1) (* (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))) (/ (* (sin (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)) (cos (* (+ (* 2 u1) 1/2) (PI)))))))) 2))) 1) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (.f32 (.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 alphax alphax) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))))))

Outputs

#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Calls

13 calls:

22.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
3.0ms	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
3.0ms	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
3.0ms	alphax
3.0ms	u0

Results

Accuracy	Segments	Branch
89.9%	1	(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))
89.9%	1	(+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))
89.9%	1	(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))
89.9%	1	`(.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1)`
89.9%	1	`(+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))`
89.9%	1	`(tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))`
89.9%	1	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay))))
89.9%	1	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
89.9%	1	`u0`
89.9%	1	`u1`
89.9%	1	`alphay`
89.9%	1	(+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))
89.9%	1	`alphax`

Compiler

Compiled 522 to 219 computations (58% saved)

simplify61.0ms (0.3%)

Memory

-24.7MiB live, 28.5MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	164	553
1	294	527
2	651	527
3	2119	527

Stop Event

1×	node limit

Calls

Call 1

Inputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( (* 2 (PI)) u1) (* (PI) 1/2)) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

Outputs
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( 1/2 (PI)) (* u1 (* (PI) 2))) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( (* 2 (PI)) u1) (* (PI) 1/2)) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 #s(approx (+ ( (* 2 (PI)) u1) (* (PI) 1/2)) (.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (.f32 #s(literal 2 binary32) u1))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ ( (* 2 (PI)) u1) (* (PI) 1/2)) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (hypot.f32 #s(literal -1 binary32) (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (.f32 (PI.f32) #s(literal 1/2 binary32)))))) #s(literal 2 binary32))) (.f32 alphax alphax)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) alphay) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (/.f32 #s(approx (sin (* (+ (* 2 u1) 1/2) (PI))) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (cos.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (.f32 (.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (neg.f32 (.f32 (.f32 alphay alphay) u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (pow (- (/ (/ u0 (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (- 1 u0)) -1) -1/2) (sqrt.f32 #s(approx (/ 1 (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI))))))) 2)) (/ u0 (- 1 u0))) 1)) (+.f32 (/.f32 (.f32 (.f32 alphay alphay) (neg.f32 u0)) (pow.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32))

derivations934.0ms (5.2%)

Memory

40.8MiB live, 513.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	146	1682
0	244	1290
0	968	1288
0	2477	78682
0	8300	73525
0	523	15296
1	1850	12429
0	8353	11575
0	153	1365
0	236	1072
0	985	1062
0	1528	43189
1	5800	41397
0	8311	38625
0	2897	96853
0	8704	96290
0	98	1352
0	166	1034
0	661	1032
0	32	315
0	57	210
1	232	193
0	2101	183

Stop Event

1×	fuel
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	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 587 to 168 computations (71.4% saved)

preprocess109.0ms (0.6%)

Memory: -33.9MiB live, 80.1MiB allocated; 27ms collecting garbage
Compiler: Compiled 1 350 to 400 computations (70.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze1.4s (7.8%)

sample4.0s (22.5%)

explain475.0ms (2.7%)

preprocess366.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify197.0ms (1.1%)

localize125.0ms (0.7%)

series254.0ms (1.4%)

simplify344.0ms (1.9%)

rewrite158.0ms (0.9%)

eval159.0ms (0.9%)

prune52.0ms (0.3%)

simplify223.0ms (1.2%)

localize524.0ms (2.9%)

series332.0ms (1.9%)

simplify293.0ms (1.6%)

rewrite70.0ms (0.4%)

eval332.0ms (1.9%)

prune41.0ms (0.2%)

simplify384.0ms (2.2%)

localize1.0s (5.6%)

series1.4s (7.6%)

simplify503.0ms (2.8%)

rewrite100.0ms (0.6%)

eval642.0ms (3.6%)

prune61.0ms (0.3%)

simplify253.0ms (1.4%)

localize649.0ms (3.6%)

series530.0ms (3%)

simplify365.0ms (2.1%)

rewrite92.0ms (0.5%)

eval193.0ms (1.1%)

prune89.0ms (0.5%)

regimes245.0ms (1.4%)

regimes261.0ms (1.5%)

regimes198.0ms (1.1%)

regimes209.0ms (1.2%)

regimes88.0ms (0.5%)

regimes89.0ms (0.5%)

regimes57.0ms (0.3%)

simplify61.0ms (0.3%)

derivations934.0ms (5.2%)

preprocess109.0ms (0.6%)

end0.0ms (0%)

Profiling